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12698240040 = 2332547750487
BaseRepresentation
bin10111101001101111…
…11100010000101000
31012202221222102121200
423310313330100220
5202001222140130
65500011204200
7626450154663
oct136467742050
935687872550
1012698240040
115426909762
122564746660
131274a08b05
148866586da
154e4be6760
hex2f4dfc428

12698240040 has 96 divisors (see below), whose sum is σ = 42147406080. Its totient is φ = 3314146176.

The previous prime is 12698240033. The next prime is 12698240081. The reversal of 12698240040 is 4004289621.

12698240040 is a `hidden beast` number, since 126 + 98 + 2 + 400 + 40 = 666.

It is a super-2 number, since 2×126982400402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12698239977 and 12698240004.

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, 358324 + ... + 392163.

It is an arithmetic number, because the mean of its divisors is an integer number (439035480).

Almost surely, 212698240040 is an apocalyptic number.

12698240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12698240040 is an abundant number, since it is smaller than the sum of its proper divisors (29449166040).

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

12698240040 is a wasteful number, since it uses less digits than its factorization.

12698240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750551 (or 750544 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12698240040 in words is "twelve billion, six hundred ninety-eight million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 750487 1500974 2251461 3001948 3752435 4502922 6003896 6754383 7504870 9005844 11257305 13508766 15009740 18011688 22514610 27017532 30019480 33771915 35272889 45029220 54035064 67543830 70545778 90058440 105818667 135087660 141091556 176364445 211637334 270175320 282183112 317456001 352728890 423274668 529093335 634912002 705457780 846549336 1058186670 1269824004 1410915560 1587280005 2116373340 2539648008 3174560010 4232746680 6349120020 12698240040