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47287506432 = 2931913911657
BaseRepresentation
bin101100000010100011…
…100001011000000000
311112001112210012222010
4230002203201120000
51233321100201212
633420143212520
73262554113145
oct540243413000
9145045705863
1047287506432
1119066623531
1291b85a7140
1345c7b0074a
1424083a83cc
15136b69303c
hexb028e1600

47287506432 has 160 divisors (see below), whose sum is σ = 133572700800. Its totient is φ = 14824194048.

The previous prime is 47287506377. The next prime is 47287506439. The reversal of 47287506432 is 23460578274.

It is a super-2 number, since 2×472875064322 (a number of 22 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (47287506439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4050748 + ... + 4062404.

It is an arithmetic number, because the mean of its divisors is an integer number (834829380).

Almost surely, 247287506432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47287506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66786350400).

47287506432 is an abundant number, since it is smaller than the sum of its proper divisors (86285194368).

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

47287506432 is a wasteful number, since it uses less digits than its factorization.

47287506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 47287506432 in words is "forty-seven billion, two hundred eighty-seven million, five hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 139 152 192 228 256 278 304 384 417 456 512 556 608 768 834 912 1112 1216 1536 1668 1824 2224 2432 2641 3336 3648 4448 4864 5282 6672 7296 7923 8896 9728 10564 11657 13344 14592 15846 17792 21128 23314 26688 29184 31692 34971 35584 42256 46628 53376 63384 69942 71168 84512 93256 106752 126768 139884 169024 186512 213504 221483 253536 279768 338048 373024 442966 507072 559536 664449 676096 746048 885932 1014144 1119072 1328898 1352192 1492096 1620323 1771864 2028288 2238144 2657796 2984192 3240646 3543728 4056576 4476288 4860969 5315592 5968384 6481292 7087456 8952576 9721938 10631184 12962584 14174912 17905152 19443876 21262368 25925168 28349824 30786137 38887752 42524736 51850336 56699648 61572274 77775504 85049472 92358411 103700672 113399296 123144548 155551008 170098944 184716822 207401344 246289096 311102016 340197888 369433644 414802688 492578192 622204032 738867288 829605376 985156384 1244408064 1477734576 1970312768 2488816128 2955469152 3940625536 5910938304 7881251072 11821876608 15762502144 23643753216 47287506432