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19925060688 = 24321376913841
BaseRepresentation
bin10010100011101000…
…000100110001010000
31220102121111221211200
4102203220010301100
5311301303420223
613053051111200
71303522135641
oct224350046120
956377457750
1019925060688
1184a51a5005
123a40a42500
131b56cc9b50
14d703796c8
157b93b6a43
hex4a3a04c50

19925060688 has 120 divisors (see below), whose sum is σ = 60134354280. Its totient is φ = 6122373120.

The previous prime is 19925060671. The next prime is 19925060693. The reversal of 19925060688 is 88606052991.

It is a happy number.

19925060688 is a `hidden beast` number, since 1 + 9 + 9 + 25 + 0 + 606 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 19877616144 = 6888^2 + 140988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432648 + ... + 1446488.

It is an arithmetic number, because the mean of its divisors is an integer number (501119619).

Almost surely, 219925060688 is an apocalyptic number.

19925060688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19925060688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30067177140).

19925060688 is an abundant number, since it is smaller than the sum of its proper divisors (40209293592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19925060688 is a wasteful number, since it uses less digits than its factorization.

19925060688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14637 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 19925060688 in words is "nineteen billion, nine hundred twenty-five million, sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 769 936 1538 1872 2307 3076 4614 6152 6921 9228 9997 12304 13841 13842 18456 19994 27682 27684 29991 36912 39988 41523 55364 55368 59982 79976 83046 89973 110728 110736 119964 124569 159952 166092 179933 179946 221456 239928 249138 332184 359866 359892 479856 498276 539799 664368 719732 719784 996552 1079598 1439464 1439568 1619397 1993104 2159196 2878928 3238794 4318392 6477588 8636784 10643729 12955176 21287458 25910352 31931187 42574916 63862374 85149832 95793561 127724748 138368477 170299664 191587122 255449496 276736954 383174244 415105431 510898992 553473908 766348488 830210862 1106947816 1245316293 1532696976 1660421724 2213895632 2490632586 3320843448 4981265172 6641686896 9962530344 19925060688