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38957485332760 = 23517234305157859
BaseRepresentation
bin10001101101110011111110…
…00100110001100100011000
312002221022002010122201101021
420312321333010301210120
520101234412221122020
6214504453252532224
711130404542426351
oct1066717704614430
9162838063581337
1038957485332760
111145a85a93a455
12445227b021074
1318978a12831b7
149897a3916d28
15478590d471aa
hex236e7f131918

38957485332760 has 128 divisors (see below), whose sum is σ = 96849641433600. Its totient is φ = 14028111820800.

The previous prime is 38957485332751. The next prime is 38957485332797. The reversal of 38957485332760 is 6723358475983.

It is a happy number.

38957485332760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38957485332760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673288711 + ... + 673346569.

It is an arithmetic number, because the mean of its divisors is an integer number (756637823700).

Almost surely, 238957485332760 is an apocalyptic number.

It is an amenable number.

38957485332760 is an abundant number, since it is smaller than the sum of its proper divisors (57892156100840).

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

38957485332760 is a wasteful number, since it uses less digits than its factorization.

38957485332760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100961 (or 100957 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 70.

The spelling of 38957485332760 in words is "thirty-eight trillion, nine hundred fifty-seven billion, four hundred eighty-five million, three hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 43051 57859 86102 115718 172204 215255 231436 289295 344408 430510 462872 578590 731867 861020 983603 990173 1157180 1330757 1463734 1722040 1967206 1980346 2314360 2661514 2927468 3659335 3934412 3960692 4918015 4950865 5323028 5854936 6653785 7318670 7868824 7921384 9836030 9901730 10646056 13307570 14637340 16832941 19672060 19803460 22622869 26615140 29274680 33665882 39344120 39606920 45245738 53230280 67331764 84164705 90491476 113114345 134663528 168329410 180982952 226228690 336658820 452457380 673317640 904914760 2490887809 4981775618 9963551236 12454439045 19927102472 24908878090 42345092753 49817756180 57290419607 84690185506 99635512360 114580839214 169380371012 211725463765 229161678428 286452098035 338760742024 423450927530 458323356856 572904196070 846901855060 973937133319 1145808392140 1693803710120 1947874266638 2291616784280 3895748533276 4869685666595 7791497066552 9739371333190 19478742666380 38957485332760