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38332309026 = 231113112173643
BaseRepresentation
bin100011101100110010…
…001001111000100010
310122221110000001120010
4203230302021320202
51112001032342101
625335402225350
72524624151664
oct435462117042
9118843001503
1038332309026
1115290653140
1275194b5256
1337cb708c7b
141bd8cd6534
15ee53b62d6
hex8ecc89e22

38332309026 has 64 divisors (see below), whose sum is σ = 84364955136. Its totient is φ = 11514547200.

The previous prime is 38332309009. The next prime is 38332309063. The reversal of 38332309026 is 62090323383.

It is a super-2 number, since 2×383323090262 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10520361 + ... + 10524003.

It is an arithmetic number, because the mean of its divisors is an integer number (1318202424).

Almost surely, 238332309026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38332309026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42182477568).

38332309026 is an abundant number, since it is smaller than the sum of its proper divisors (46032646110).

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

38332309026 is a wasteful number, since it uses less digits than its factorization.

38332309026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007.

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 38332309026 in words is "thirty-eight billion, three hundred thirty-two million, three hundred nine thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1217 1441 2434 2882 3643 3651 4323 7286 7302 8646 10929 13387 21858 26774 40073 40161 80146 80322 120219 159427 240438 318854 477233 478281 954466 956562 1431699 1753697 2863398 3507394 4433531 5249563 5261091 8867062 10499126 10522182 13300593 15748689 26601186 31497378 48768841 97537682 146306523 292613046 580792561 1161585122 1742377683 3484755366 6388718171 12777436342 19166154513 38332309026