Search a number
-
+
21625967790 = 2335711442311
BaseRepresentation
bin10100001001000000…
…100001010010101110
32001211011001222202000
4110021000201102232
5323242221432130
613533531313130
71363624456530
oct241100412256
961734058660
1021625967790
119198327759
1242365ab7a6
13206850325b
141092219850
15868899260
hex5090214ae

21625967790 has 64 divisors (see below), whose sum is σ = 65907717120. Its totient is φ = 4943077920.

The previous prime is 21625967747. The next prime is 21625967791. The reversal of 21625967790 is 9776952612.

21625967790 is a `hidden beast` number, since 2 + 1 + 625 + 9 + 6 + 7 + 7 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21625967791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719266 + ... + 5723045.

It is an arithmetic number, because the mean of its divisors is an integer number (1029808080).

Almost surely, 221625967790 is an apocalyptic number.

21625967790 is an abundant number, since it is smaller than the sum of its proper divisors (44281749330).

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

21625967790 is a wasteful number, since it uses less digits than its factorization.

21625967790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442334 (or 11442328 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 21625967790 in words is "twenty-one billion, six hundred twenty-five million, nine hundred sixty-seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 11442311 22884622 34326933 57211555 68653866 80096177 102980799 114423110 160192354 171634665 205961598 240288531 308942397 343269330 400480885 480577062 514903995 617884794 720865593 800961770 1029807990 1201442655 1441731186 1544711985 2162596779 2402885310 3089423970 3604327965 4325193558 7208655930 10812983895 21625967790