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38969061408 = 2532197121539
BaseRepresentation
bin100100010010101111…
…001011000000100000
310201120211011102121200
4210102233023000200
51114302034431113
625522510121200
72546455361634
oct442257130040
9121524142550
1038969061408
1115588023682
1276767b0200
1338a0602124
141c596c8dc4
151031243873
hex912bcb020

38969061408 has 72 divisors (see below), whose sum is σ = 116650825200. Its totient is φ = 12306017664.

The previous prime is 38969061401. The next prime is 38969061409. The reversal of 38969061408 is 80416096983.

38969061408 is a `hidden beast` number, since 3 + 8 + 96 + 90 + 61 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38969061401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3555298 + ... + 3566241.

It is an arithmetic number, because the mean of its divisors is an integer number (1620150350).

Almost surely, 238969061408 is an apocalyptic number.

38969061408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

38969061408 is an abundant number, since it is smaller than the sum of its proper divisors (77681763792).

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

38969061408 is a wasteful number, since it uses less digits than its factorization.

38969061408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121574 (or 7121563 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38969061408 in words is "thirty-eight billion, nine hundred sixty-nine million, sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 7121539 14243078 21364617 28486156 42729234 56972312 64093851 85458468 113944624 128187702 135309241 170916936 227889248 256375404 270618482 341833872 405927723 512750808 541236964 683667744 811855446 1025501616 1082473928 1217783169 1623710892 2051003232 2164947856 2435566338 3247421784 4329895712 4871132676 6494843568 9742265352 12989687136 19484530704 38969061408