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38001814938 = 23231471449013
BaseRepresentation
bin100011011001000101…
…011010110110011010
310122002102010012220100
4203121011122312122
51110311431034223
625242514440230
72513502045243
oct433105326632
9118072105810
1038001814938
111513104102a
127446893076
1337780c2339
141ba7065cca
15ec6382043
hex8d915ad9a

38001814938 has 48 divisors (see below), whose sum is σ = 86801734656. Its totient is φ = 11997819360.

The previous prime is 38001814901. The next prime is 38001814951. The reversal of 38001814938 is 83941810083.

38001814938 is a `hidden beast` number, since 3 + 80 + 0 + 1 + 81 + 493 + 8 = 666.

38001814938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38001814893 and 38001814902.

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, 698281 + ... + 750732.

It is an arithmetic number, because the mean of its divisors is an integer number (1808369472).

Almost surely, 238001814938 is an apocalyptic number.

38001814938 is an abundant number, since it is smaller than the sum of its proper divisors (48799919718).

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

38001814938 is a wasteful number, since it uses less digits than its factorization.

38001814938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449099 (or 1449096 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 38001814938 in words is "thirty-eight billion, one million, eight hundred fourteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 1457 2914 4371 8742 13113 26226 1449013 2898026 4347039 8694078 13041117 26082234 44919403 68103611 89838806 134758209 136207222 204310833 269516418 404274627 408621666 612932499 808549254 1225864998 2111211941 4222423882 6333635823 12667271646 19000907469 38001814938