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38416426847712 = 2532433308060903
BaseRepresentation
bin10001011110000100001010…
…11110011100110111100000
312001000120111211122212010100
420233002011132130313200
520013403320233111322
6213412132435502400
711043331604250654
oct1057020536346740
9161016454585110
1038416426847712
1111271351494491
12438543b757a00
1318588659a9474
1496b517712a64
15469475846dac
hex22f08579cde0

38416426847712 has 72 divisors (see below), whose sum is σ = 109499016083184. Its totient is φ = 12775901727744.

The previous prime is 38416426847647. The next prime is 38416426847719. The reversal of 38416426847712 is 21774862461483.

It is a happy number.

38416426847712 is a `hidden beast` number, since 3 + 8 + 41 + 64 + 2 + 68 + 477 + 1 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38416426847712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38416426847719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153905748 + ... + 154155155.

It is an arithmetic number, because the mean of its divisors is an integer number (1520819667822).

Almost surely, 238416426847712 is an apocalyptic number.

38416426847712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38416426847712 is an abundant number, since it is smaller than the sum of its proper divisors (71082589235472).

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

38416426847712 is a wasteful number, since it uses less digits than its factorization.

38416426847712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308061352 (or 308061341 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 38416426847712 in words is "thirty-eight trillion, four hundred sixteen billion, four hundred twenty-six million, eight hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 433 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 13856 15588 20784 31176 41568 62352 124704 308060903 616121806 924182709 1232243612 1848365418 2464487224 2772548127 3696730836 4928974448 5545096254 7393461672 9857948896 11090192508 14786923344 22180385016 29573846688 44360770032 88721540064 133390370999 266780741998 400171112997 533561483996 800342225994 1067122967992 1200513338991 1600684451988 2134245935984 2401026677982 3201368903976 4268491871968 4802053355964 6402737807952 9604106711928 12805475615904 19208213423856 38416426847712