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58931744928 = 2537243291349
BaseRepresentation
bin110110111000100110…
…110001000010100000
312122010001110211021120
4312320212301002200
51431143011314203
643023423452240
74154245365300
oct667046610240
9178101424246
1058931744928
1122aa1485231
12b508157080
1357323427b4
142bd0a59600
1517eda8cb53
hexdb89b10a0

58931744928 has 144 divisors (see below), whose sum is σ = 184137861600. Its totient is φ = 16446011904.

The previous prime is 58931744887. The next prime is 58931744941. The reversal of 58931744928 is 82944713985.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56598 + ... + 347946.

It is an arithmetic number, because the mean of its divisors is an integer number (1278735150).

Almost surely, 258931744928 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 58931744928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92068930800).

58931744928 is an abundant number, since it is smaller than the sum of its proper divisors (125206116672).

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

58931744928 is a wasteful number, since it uses less digits than its factorization.

58931744928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291419 (or 291404 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 58931744928 in words is "fifty-eight billion, nine hundred thirty-one million, seven hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 344 392 516 588 602 672 688 784 903 1032 1176 1204 1376 1568 1806 2064 2107 2352 2408 3612 4128 4214 4704 4816 6321 7224 8428 9632 12642 14448 16856 25284 28896 33712 50568 67424 101136 202272 291349 582698 874047 1165396 1748094 2039443 2330792 3496188 4078886 4661584 6118329 6992376 8157772 9323168 12236658 12528007 13984752 14276101 16315544 24473316 25056014 27969504 28552202 32631088 37584021 42828303 48946632 50112028 57104404 65262176 75168042 85656606 87696049 97893264 100224056 114208808 150336084 171313212 175392098 195786528 200448112 228417616 263088147 300672168 342626424 350784196 400896224 456835232 526176294 601344336 613872343 685252848 701568392 1052352588 1202688672 1227744686 1370505696 1403136784 1841617029 2104705176 2455489372 2806273568 3683234058 4209410352 4910978744 7366468116 8418820704 9821957488 14732936232 19643914976 29465872464 58931744928