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38097270912 = 273178370313
BaseRepresentation
bin100011011110110001…
…100011100010000000
310122100001201212212210
4203132301203202000
51111010400132122
625300204422120
72516041313451
oct433661434200
9118301655783
1038097270912
111517aa09568
127472847940
133791b0476c
141bb59d3128
15ece93a40c
hex8dec63880

38097270912 has 128 divisors (see below), whose sum is σ = 108441063360. Its totient is φ = 11807916032.

The previous prime is 38097270907. The next prime is 38097270943. The reversal of 38097270912 is 21907279083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 506668 + ... + 576980.

Almost surely, 238097270912 is an apocalyptic number.

38097270912 is a gapful number since it is divisible by the number (32) 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 38097270912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54220531680).

38097270912 is an abundant number, since it is smaller than the sum of its proper divisors (70343792448).

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

38097270912 is a wasteful number, since it uses less digits than its factorization.

38097270912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70430 (or 70418 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

It can be divided in two parts, 38097 and 270912, that multiplied together give a square (10320934464 = 1015922).

The spelling of 38097270912 in words is "thirty-eight billion, ninety-seven million, two hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 128 136 166 192 204 249 272 332 384 408 498 544 664 816 996 1088 1328 1411 1632 1992 2176 2656 2822 3264 3984 4233 5312 5644 6528 7968 8466 10624 11288 15936 16932 22576 31872 33864 45152 67728 70313 90304 135456 140626 180608 210939 270912 281252 421878 541824 562504 843756 1125008 1195321 1687512 2250016 2390642 3375024 3585963 4500032 4781284 5835979 6750048 7171926 9000064 9562568 11671958 13500096 14343852 17507937 19125136 23343916 27000192 28687704 35015874 38250272 46687832 57375408 70031748 76500544 93375664 99211643 114750816 140063496 153001088 186751328 198423286 229501632 280126992 297634929 373502656 396846572 459003264 560253984 595269858 747005312 793693144 1120507968 1190539716 1587386288 2241015936 2381079432 3174772576 4762158864 6349545152 9524317728 12699090304 19048635456 38097270912