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58772286944 = 257319778663
BaseRepresentation
bin110110101111000110…
…011110110111100000
312121200221102112001022
4312233012132313200
51430331201140234
642555530025012
74150301124230
oct665706366740
9177627375038
1058772286944
1122a1a473078
12b482878168
1357082b1967
142bb77cbcc0
1517dea90e2e
hexdaf19ede0

58772286944 has 96 divisors (see below), whose sum is σ = 136658866176. Its totient is φ = 24347842560.

The previous prime is 58772286943. The next prime is 58772286949. The reversal of 58772286944 is 44968227785.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58772286943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6779957 + ... + 6788619.

It is an arithmetic number, because the mean of its divisors is an integer number (1423529856).

Almost surely, 258772286944 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 58772286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68329433088).

58772286944 is an abundant number, since it is smaller than the sum of its proper divisors (77886579232).

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

58772286944 is a wasteful number, since it uses less digits than its factorization.

58772286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9680 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 62.

The spelling of 58772286944 in words is "fifty-eight billion, seven hundred seventy-two million, two hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 977 992 1736 1954 3472 3908 6839 6944 7816 8663 13678 15632 17326 27356 30287 31264 34652 54712 60574 60641 69304 109424 121148 121282 138608 212009 218848 242296 242564 268553 277216 424018 484592 485128 537106 848036 969184 970256 1074212 1696072 1879871 1940512 2148424 3392144 3759742 4296848 6784288 7519484 8463751 8593696 15038968 16927502 30077936 33855004 59246257 60155872 67710008 118492514 135420016 236985028 262376281 270840032 473970056 524752562 947940112 1049505124 1836633967 1895880224 2099010248 3673267934 4198020496 7346535868 8396040992 14693071736 29386143472 58772286944