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3873930696 = 2332532334357
BaseRepresentation
bin1110011011100111…
…0111110111001000
3100222222111001212200
43212321313313020
530413211240241
61440223440200
7164666603406
oct34671676710
910888431780
103873930696
111708807519
12901456060
134997810ac
1428a6d8476
1517a1714b6
hexe6e77dc8

3873930696 has 96 divisors (see below), whose sum is σ = 10738199160. Its totient is φ = 1261218816.

The previous prime is 3873930677. The next prime is 3873930701. The reversal of 3873930696 is 6960393783.

It can be written as a sum of positive squares in 4 ways, for example, as 3860136900 + 13793796 = 62130^2 + 3714^2 .

It is a super-2 number, since 2×38739306962 = 30014678074822088832, which contains 22 as substring.

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, 886950 + ... + 891306.

Almost surely, 23873930696 is an apocalyptic number.

3873930696 is a gapful number since it is divisible by the number (36) 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 3873930696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369099580).

3873930696 is an abundant number, since it is smaller than the sum of its proper divisors (6864268464).

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

3873930696 is a wasteful number, since it uses less digits than its factorization.

3873930696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3873930696 is about 62240.9085409267. The cubic root of 3873930696 is about 1570.5458358764.

The spelling of 3873930696 in words is "three billion, eight hundred seventy-three million, nine hundred thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 233 318 424 466 477 636 699 932 954 1272 1398 1864 1908 2097 2796 3816 4194 4357 5592 8388 8714 12349 13071 16776 17428 24698 26142 34856 37047 39213 49396 52284 74094 78426 98792 104568 111141 148188 156852 222282 230921 296376 313704 444564 461842 692763 889128 923684 1015181 1385526 1847368 2030362 2078289 2771052 3045543 4060724 4156578 5542104 6091086 8121448 8313156 9136629 12182172 16626312 18273258 24364344 36546516 53804593 73093032 107609186 161413779 215218372 322827558 430436744 484241337 645655116 968482674 1291310232 1936965348 3873930696