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47457211872 = 2537210088693
BaseRepresentation
bin101100001100101010…
…111001010111100000
311112111101010011001210
4230030222321113200
51234143021234442
633445044430120
73300014434200
oct541452712740
9145441104053
1047457211872
11191433a4764
1292453a8340
13462400b975
142422b42400
15137b51619c
hexb0cab95e0

47457211872 has 72 divisors (see below), whose sum is σ = 144914000616. Its totient is φ = 13559202048.

The previous prime is 47457211859. The next prime is 47457211891. The reversal of 47457211872 is 27811275474.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5039643 + ... + 5049050.

It is an arithmetic number, because the mean of its divisors is an integer number (2012694453).

Almost surely, 247457211872 is an apocalyptic number.

47457211872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47457211872 is an abundant number, since it is smaller than the sum of its proper divisors (97456788744).

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

47457211872 is a wasteful number, since it uses less digits than its factorization.

47457211872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088720 (or 10088705 counting only the distinct ones).

The product of its digits is 878080, while the sum is 48.

The spelling of 47457211872 in words is "forty-seven billion, four hundred fifty-seven million, two hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 10088693 20177386 30266079 40354772 60532158 70620851 80709544 121064316 141241702 161419088 211862553 242128632 282483404 322838176 423725106 484257264 494345957 564966808 847450212 968514528 988691914 1129933616 1483037871 1694900424 1977383828 2259867232 2966075742 3389800848 3954767656 5932151484 6779601696 7909535312 11864302968 15819070624 23728605936 47457211872