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38880775224 = 23332319973919
BaseRepresentation
bin100100001101011110…
…011000110000111000
310201100200001000202000
4210031132120300320
51114111434301344
625510033541000
72544334064544
oct441536306070
9121320030660
1038880775224
1115542202995
127651114760
133888230295
141c4baa6a24
151028604a69
hex90d798c38

38880775224 has 128 divisors (see below), whose sum is σ = 112783104000. Its totient is φ = 12387399552.

The previous prime is 38880775181. The next prime is 38880775243. The reversal of 38880775224 is 42257708883.

38880775224 is a `hidden beast` number, since 38 + 8 + 80 + 7 + 7 + 522 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9919137 + ... + 9923055.

It is an arithmetic number, because the mean of its divisors is an integer number (881118000).

Almost surely, 238880775224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38880775224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56391552000).

38880775224 is an abundant number, since it is smaller than the sum of its proper divisors (73902328776).

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

38880775224 is a wasteful number, since it uses less digits than its factorization.

38880775224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 38880775224 in words is "thirty-eight billion, eight hundred eighty million, seven hundred seventy-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 1997 2484 3919 3994 4968 5991 7838 7988 11757 11982 15676 15976 17973 23514 23964 31352 35271 35946 45931 47028 47928 53919 70542 71892 90137 91862 94056 105813 107838 137793 141084 143784 180274 183724 211626 215676 270411 275586 282168 360548 367448 413379 423252 431352 540822 551172 721096 811233 826758 846504 1081644 1102344 1240137 1622466 1653516 2163288 2433699 2480274 3244932 3307032 4867398 4960548 6489864 7826243 9734796 9921096 15652486 19469592 23478729 31304972 46957458 62609944 70436187 93914916 140872374 180003589 187829832 211308561 281744748 360007178 422617122 540010767 563489496 720014356 845234244 1080021534 1440028712 1620032301 1690468488 2160043068 3240064602 4320086136 4860096903 6480129204 9720193806 12960258408 19440387612 38880775224