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49760132352 = 28379255977
BaseRepresentation
bin101110010101111011…
…110101110100000000
311202102212110122001220
4232111323311310000
51303402043213402
634505352155040
73411050101110
oct562573656400
9152385418056
1049760132352
111a11532aa27
129788698a80
1349001671c8
1425a0931040
1514637b2dbc
hexb95ef5d00

49760132352 has 72 divisors (see below), whose sum is σ = 151353752256. Its totient is φ = 14217179136.

The previous prime is 49760132351. The next prime is 49760132371. The reversal of 49760132352 is 25323106794.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49760132351) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4622613 + ... + 4633364.

It is an arithmetic number, because the mean of its divisors is an integer number (2102135448).

Almost surely, 249760132352 is an apocalyptic number.

49760132352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

49760132352 is an abundant number, since it is smaller than the sum of its proper divisors (101593619904).

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

49760132352 is an equidigital number, since it uses as much as digits as its factorization.

49760132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256003 (or 9255989 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 49760132352 in words is "forty-nine billion, seven hundred sixty million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 9255977 18511954 27767931 37023908 55535862 64791839 74047816 111071724 129583678 148095632 194375517 222143448 259167356 296191264 388751034 444286896 518334712 592382528 777502068 888573792 1036669424 1184765056 1555004136 1777147584 2073338848 2369530112 3110008272 3554295168 4146677696 6220016544 7108590336 8293355392 12440033088 16586710784 24880066176 49760132352