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38074352928 = 25319130715971
BaseRepresentation
bin100011011101011010…
…001000010100100000
310122021110121112022120
4203131122020110200
51110434013243203
625254025304240
72515342442253
oct433532102440
9118243545276
1038074352928
1115168a85987
127467035080
13378a13c121
141bb294909a
15ecc90eb53
hex8dd688520

38074352928 has 96 divisors (see below), whose sum is σ = 105292535040. Its totient is φ = 12013528320.

The previous prime is 38074352903. The next prime is 38074352933. The reversal of 38074352928 is 82925347083.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2375983 + ... + 2391953.

It is an arithmetic number, because the mean of its divisors is an integer number (1096797240).

Almost surely, 238074352928 is an apocalyptic number.

38074352928 is a gapful number since it is divisible by the number (38) 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 38074352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646267520).

38074352928 is an abundant number, since it is smaller than the sum of its proper divisors (67218182112).

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

38074352928 is a wasteful number, since it uses less digits than its factorization.

38074352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17310 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 38074352928 in words is "thirty-eight billion, seventy-four million, three hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1307 1824 2614 3921 5228 7842 10456 15684 15971 20912 24833 31368 31942 41824 47913 49666 62736 63884 74499 95826 99332 125472 127768 148998 191652 198664 255536 297996 303449 383304 397328 511072 595992 606898 766608 794656 910347 1191984 1213796 1533216 1820694 2383968 2427592 3641388 4855184 7282776 9710368 14565552 20874097 29131104 41748194 62622291 83496388 125244582 166992776 250489164 333985552 396607843 500978328 667971104 793215686 1001956656 1189823529 1586431372 2003913312 2379647058 3172862744 4759294116 6345725488 9518588232 12691450976 19037176464 38074352928