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58874807712 = 2537212515903
BaseRepresentation
bin110110110101001101…
…100100010110100000
312121222002100010002210
4312311031210112200
51431033422321322
643014031242120
74152654415500
oct666515442640
9177862303083
1058874807712
1122a72326486
12b4b1079340
1357235c8936
142bc7277a00
1517e8a9270c
hexdb53645a0

58874807712 has 72 divisors (see below), whose sum is σ = 179778445056. Its totient is φ = 16821372288.

The previous prime is 58874807699. The next prime is 58874807713. The reversal of 58874807712 is 21770847885.

It is not an unprimeable number, because it can be changed into a prime (58874807713) by changing a digit.

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, 6253248 + ... + 6262655.

It is an arithmetic number, because the mean of its divisors is an integer number (2496922848).

Almost surely, 258874807712 is an apocalyptic number.

It is an amenable number.

58874807712 is an abundant number, since it is smaller than the sum of its proper divisors (120903637344).

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

58874807712 is a wasteful number, since it uses less digits than its factorization.

58874807712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515930 (or 12515915 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 57.

It can be divided in two parts, 58874 and 807712, that added together give a triangular number (866586 = T1316).

The spelling of 58874807712 in words is "fifty-eight billion, eight hundred seventy-four million, eight hundred seven thousand, seven hundred twelve".

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 12515903 25031806 37547709 50063612 75095418 87611321 100127224 150190836 175222642 200254448 262833963 300381672 350445284 400508896 525667926 600763344 613279247 700890568 1051335852 1201526688 1226558494 1401781136 1839837741 2102671704 2453116988 2803562272 3679675482 4205343408 4906233976 7359350964 8410686816 9812467952 14718701928 19624935904 29437403856 58874807712