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47001675072120 = 23352946032934223
BaseRepresentation
bin10101010111111011011100…
…01001011000001001111000
320011102022112112211110122220
422223331232021120021320
522130033412304301440
6243544134344244040
712620521216144146
oct1253755611301170
9204368475743586
1047001675072120
1113a8133127993a
1253312a5a70620
13202c314c52212
14b86c70d88596
1556794c4e88d0
hex2abf6e258278

47001675072120 has 128 divisors (see below), whose sum is σ = 145899006796800. Its totient is φ = 12098947521024.

The previous prime is 47001675072109. The next prime is 47001675072127. The reversal of 47001675072120 is 2127057610074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47001675072127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14551329 + ... + 17485551.

It is an arithmetic number, because the mean of its divisors is an integer number (1139835990600).

Almost surely, 247001675072120 is an apocalyptic number.

47001675072120 is a gapful number since it is divisible by the number (40) 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 47001675072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72949503398400).

47001675072120 is an abundant number, since it is smaller than the sum of its proper divisors (98897331724680).

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

47001675072120 is a wasteful number, since it uses less digits than its factorization.

47001675072120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938869 (or 2938865 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 47001675072120 in words is "forty-seven trillion, one billion, six hundred seventy-five million, seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 4603 9206 13809 18412 23015 27618 36824 46030 55236 69045 92060 110472 133487 138090 184120 266974 276180 400461 533948 552360 667435 800922 1067896 1334870 1601844 2002305 2669740 2934223 3203688 4004610 5339480 5868446 8009220 8802669 11736892 14671115 16018440 17605338 23473784 29342230 35210676 44013345 58684460 70421352 85092467 88026690 117368920 170184934 176053380 255277401 340369868 352106760 425462335 510554802 680739736 850924670 1021109604 1276387005 1701849340 2042219208 2552774010 3403698680 5105548020 10211096040 13506228469 27012456938 40518685407 54024913876 67531142345 81037370814 108049827752 135062284690 162074741628 202593427035 270124569380 324149483256 391680625601 405186854070 540249138760 783361251202 810373708140 1175041876803 1566722502404 1620747416280 1958403128005 2350083753606 3133445004808 3916806256010 4700167507212 5875209384015 7833612512020 9400335014424 11750418768030 15667225024040 23500837536060 47001675072120