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38891618856 = 2333569316439
BaseRepresentation
bin100100001110000111…
…110000001000101000
310201101102102221102000
4210032013300020220
51114122223300411
625511102211000
72544525206616
oct441607601050
9121342387360
1038891618856
1115548339972
127654883a60
13388a558b2c
141c4d2ca6b6
151029547956
hex90e1f0228

38891618856 has 64 divisors (see below), whose sum is σ = 108222480000. Its totient is φ = 12941048448.

The previous prime is 38891618839. The next prime is 38891618861. The reversal of 38891618856 is 65881619883.

38891618856 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 1 + 618 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38891618793 and 38891618802.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35316 + ... + 281123.

It is an arithmetic number, because the mean of its divisors is an integer number (1690976250).

Almost surely, 238891618856 is an apocalyptic number.

38891618856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38891618856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54111240000).

38891618856 is an abundant number, since it is smaller than the sum of its proper divisors (69330861144).

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

38891618856 is a wasteful number, since it uses less digits than its factorization.

38891618856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317023 (or 317013 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 38891618856 in words is "thirty-eight billion, eight hundred ninety-one million, six hundred eighteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 569 1138 1707 2276 3414 4552 5121 6828 10242 13656 15363 20484 30726 40968 61452 122904 316439 632878 949317 1265756 1898634 2531512 2847951 3797268 5695902 7594536 8543853 11391804 17087706 22783608 34175412 68350824 180053791 360107582 540161373 720215164 1080322746 1440430328 1620484119 2160645492 3240968238 4321290984 4861452357 6481936476 9722904714 12963872952 19445809428 38891618856