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47708787741006 = 23719592633384851
BaseRepresentation
bin10101101100100000100010…
…10110001001000101001110
320020220220201110001212211210
422312100101112021011032
522223130044130203011
6245245040422555250
713022563143515520
oct1266202126110516
9206826643055753
1047708787741006
1114224201a06987
125426348598b26
132080bc4b53172
14bad190b77a10
1557b035c236a6
hex2b641158914e

47708787741006 has 128 divisors (see below), whose sum is σ = 116778259353600. Its totient is φ = 12689926905600.

The previous prime is 47708787740969. The next prime is 47708787741059. The reversal of 47708787741006 is 60014778780774.

It is a super-2 number, since 2×477087877410062 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123774481 + ... + 124159331.

It is an arithmetic number, because the mean of its divisors is an integer number (912330151200).

Almost surely, 247708787741006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47708787741006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58389129676800).

47708787741006 is an abundant number, since it is smaller than the sum of its proper divisors (69069471612594).

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

47708787741006 is a wasteful number, since it uses less digits than its factorization.

47708787741006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387574.

The product of its (nonzero) digits is 103262208, while the sum is 66.

The spelling of 47708787741006 in words is "forty-seven trillion, seven hundred eight billion, seven hundred eighty-seven million, seven hundred forty-one thousand, six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 266 354 399 413 798 826 1121 1239 2242 2478 2633 3363 5266 6726 7847 7899 15694 15798 18431 23541 36862 47082 50027 55293 100054 110586 150081 155347 300162 310694 350189 384851 466041 700378 769702 932082 1050567 1087429 1154553 2101134 2174858 2309106 2693957 2951593 3262287 5387914 5903186 6524574 7312169 8081871 8854779 14624338 16163742 17709558 20661151 21936507 22706209 41322302 43873014 45412418 51185183 61983453 68118627 102370366 123966906 136237254 153555549 158943463 307111098 317886926 431417971 476830389 862835942 953660778 1013312683 1294253913 2026625366 2588507826 3019925797 3039938049 6039851594 6079876098 7093188781 9059777391 14186377562 18119554782 19252940977 21279566343 38505881954 42559132686 57758822931 59785448297 115517645862 119570896594 134770586839 179356344891 269541173678 358712689782 404311760517 418498138079 808623521034 836996276158 1135923517643 1255494414237 2271847035286 2510988828474 3407770552929 6815541105858 7951464623501 15902929247002 23854393870503 47708787741006