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38748743040 = 273572883091
BaseRepresentation
bin100100000101100110…
…101110010110000000
310201000110121002122010
4210011212232112000
51113324134234130
625445000012520
72541141611220
oct440546562600
9121013532563
1038748743040
1115484723187
127614a61140
133866a82827
141c38338080
15101bc240b0
hex9059ae580

38748743040 has 128 divisors (see below), whose sum is σ = 141156184320. Its totient is φ = 8856852480.

The previous prime is 38748743039. The next prime is 38748743053. The reversal of 38748743040 is 4034784783.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1428106 + ... + 1454985.

It is an arithmetic number, because the mean of its divisors is an integer number (1102782690).

Almost surely, 238748743040 is an apocalyptic number.

38748743040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38748743040 is an abundant number, since it is smaller than the sum of its proper divisors (102407441280).

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

38748743040 is a wasteful number, since it uses less digits than its factorization.

38748743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883120 (or 2883108 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 38748743040 in words is "thirty-eight billion, seven hundred forty-eight million, seven hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 2883091 5766182 8649273 11532364 14415455 17298546 20181637 23064728 28830910 34597092 40363274 43246365 46129456 57661820 60544911 69194184 80726548 86492730 92258912 100908185 115323640 121089822 138388368 161453096 172985460 184517824 201816370 230647280 242179644 276776736 302724555 322906192 345970920 369035648 403632740 461294560 484359288 553553472 605449110 645812384 691941840 807265480 922589120 968718576 1107106944 1210898220 1291624768 1383883680 1614530960 1845178240 1937437152 2421796440 2583249536 2767767360 3229061920 3874874304 4843592880 5535534720 6458123840 7749748608 9687185760 12916247680 19374371520 38748743040