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38745871560 = 23335113261437
BaseRepresentation
bin100100000101011011…
…110001010011001000
310201000021012012201000
4210011123301103020
51113322420342220
625444414255000
72541105321444
oct440533612310
9121007165630
1038745871560
1115483041860
127613ab7460
1338662b8826
141c37bcb824
15101b858390
hex9056f14c8

38745871560 has 128 divisors (see below), whose sum is σ = 140894121600. Its totient is φ = 9392935680.

The previous prime is 38745871559. The next prime is 38745871579. The reversal of 38745871560 is 6517854783.

It is a happy number.

38745871560 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 5 + 8 + 71 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38745871497 and 38745871506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618839 + ... + 1642598.

It is an arithmetic number, because the mean of its divisors is an integer number (1100735325).

Almost surely, 238745871560 is an apocalyptic number.

38745871560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38745871560 is an abundant number, since it is smaller than the sum of its proper divisors (102148250040).

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

38745871560 is a wasteful number, since it uses less digits than its factorization.

38745871560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261468 (or 3261458 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 38745871560 in words is "thirty-eight billion, seven hundred forty-five million, eight hundred seventy-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 3261437 6522874 9784311 13045748 16307185 19568622 26091496 29352933 32614370 35875807 39137244 48921555 58705866 65228740 71751614 78274488 88058799 97843110 107627421 117411732 130457480 143503228 146764665 176117598 179379035 195686220 215254842 234823464 287006456 293529330 322882263 352235196 358758070 391372440 430509684 440293995 538137105 587058660 645764526 704470392 717516140 861019368 880587990 968646789 1076274210 1174117320 1291529052 1435032280 1614411315 1761175980 1937293578 2152548420 2583058104 3228822630 3522351960 3874587156 4305096840 4843233945 6457645260 7749174312 9686467890 12915290520 19372935780 38745871560