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58749604864 = 210312227263
BaseRepresentation
bin110110101101101111…
…111101010000000000
312121122100202011002021
4312231233331100000
51430304344323424
642553355531224
74146604254556
oct665557752000
9177570664067
1058749604864
1122a08690755
12b477159b14
13570369c802
142bb47a5bd6
1517dcab04e4
hexdadbfd400

58749604864 has 132 divisors (see below), whose sum is σ = 122350532832. Its totient is φ = 28194385920.

The previous prime is 58749604829. The next prime is 58749604867. The reversal of 58749604864 is 46840694785.

It is a super-2 number, since 2×587496048642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58749604867) 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 11 ways as a sum of consecutive naturals, for example, 223382397 + ... + 223382659.

It is an arithmetic number, because the mean of its divisors is an integer number (926897976).

Almost surely, 258749604864 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 58749604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175266416).

58749604864 is an abundant number, since it is smaller than the sum of its proper divisors (63600927968).

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

58749604864 is a wasteful number, since it uses less digits than its factorization.

58749604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 58749604864 in words is "fifty-eight billion, seven hundred forty-nine million, six hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 227 248 256 263 454 496 512 526 908 961 992 1024 1052 1816 1922 1984 2104 3632 3844 3968 4208 7037 7264 7688 7936 8153 8416 14074 14528 15376 15872 16306 16832 28148 29056 30752 31744 32612 33664 56296 58112 59701 61504 65224 67328 112592 116224 119402 123008 130448 134656 218147 225184 232448 238804 246016 252743 260896 269312 436294 450368 477608 492032 505486 521792 872588 900736 955216 984064 1010972 1043584 1745176 1801472 1850731 1910432 2021944 2087168 3490352 3602944 3701462 3820864 4043888 4174336 6980704 7205888 7402924 7641728 8087776 8348672 13961408 14805848 15283456 16175552 27922816 29611696 30566912 32351104 55845632 57372661 59223392 61133824 64702208 111691264 114745322 118446784 129404416 223382528 229490644 236893568 258808832 458981288 473787136 917962576 947574272 1835925152 1895148544 3671850304 7343700608 14687401216 29374802432 58749604864