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38358688106472 = 23343205318104857
BaseRepresentation
bin10001011100011000100111…
…11110101000011111101000
312000211001110221000220020120
420232030103332220133220
520011432043123401342
6213325423230123240
711036216023121256
oct1056142376503750
9160731427026216
1038358688106472
1111249912477618
124376207050520
13185329387b816
149687db2c55d6
15467be68b1aec
hex22e313fa87e8

38358688106472 has 64 divisors (see below), whose sum is σ = 98174678796480. Its totient is φ = 12482791276032.

The previous prime is 38358688106437. The next prime is 38358688106509. The reversal of 38358688106472 is 27460188685383.

38358688106472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38358688106397 and 38358688106406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6933733 + ... + 11171124.

It is an arithmetic number, because the mean of its divisors is an integer number (1533979356195).

Almost surely, 238358688106472 is an apocalyptic number.

It is an amenable number.

38358688106472 is an abundant number, since it is smaller than the sum of its proper divisors (59815990690008).

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

38358688106472 is a wasteful number, since it uses less digits than its factorization.

38358688106472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18106962 (or 18106958 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 38358688106472 in words is "thirty-eight trillion, three hundred fifty-eight billion, six hundred eighty-eight million, one hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2053 4106 6159 8212 12318 16424 24636 49272 88279 176558 264837 353116 529674 706232 1059348 2118696 18104857 36209714 54314571 72419428 108629142 144838856 217258284 434516568 778508851 1557017702 2335526553 3114035404 4671053106 6228070808 9342106212 18684212424 37169271421 74338542842 111507814263 148677085684 223015628526 297354171368 446031257052 892062514104 1598278671103 3196557342206 4794836013309 6393114684412 9589672026618 12786229368824 19179344053236 38358688106472