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38720723903872 = 273781671001081
BaseRepresentation
bin10001100110111010111101…
…11111100110010110000000
312002002122221211020221202121
420303131132333212112000
520033400020304410442
6214204015513454024
711104323430456003
oct1063353677462600
9162078854227677
1038720723903872
111137940421866a
124414404111314
13187b46bb3664a
1497c14341353a
154723353a7967
hex23375efe6580

38720723903872 has 64 divisors (see below), whose sum is σ = 79233558049440. Its totient is φ = 18834783621120.

The previous prime is 38720723903803. The next prime is 38720723903891. The reversal of 38720723903872 is 27830932702783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 38720723903872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38178372 + ... + 39179452.

Almost surely, 238720723903872 is an apocalyptic number.

38720723903872 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 38720723903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39616779024720).

38720723903872 is an abundant number, since it is smaller than the sum of its proper divisors (40512834145568).

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

38720723903872 is a wasteful number, since it uses less digits than its factorization.

38720723903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009299 (or 1009287 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 61.

The spelling of 38720723903872 in words is "thirty-eight trillion, seven hundred twenty billion, seven hundred twenty-three million, nine hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 8167 16334 32668 65336 130672 261344 302179 522688 604358 1001081 1045376 1208716 2002162 2417432 4004324 4834864 8008648 9669728 16017296 19339456 32034592 37039997 38678912 64069184 74079994 128138368 148159988 296319976 592639952 1185279904 2370559808 4741119616 8175828527 16351657054 32703314108 65406628216 130813256432 261626512864 302505655499 523253025728 605011310998 1046506051456 1210022621996 2420045243992 4840090487984 9680180975968 19360361951936 38720723903872