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58696730208 = 25321092278237
BaseRepresentation
bin110110101010100110…
…010000011001100000
312121111200020211200200
4312222212100121200
51430202330331313
642544230345200
74145362655214
oct665246203140
9177450224620
1058696730208
1122990857196
12b4614bb200
1356c5748b2c
142bab760944
1517d8118b73
hexdaa990660

58696730208 has 144 divisors (see below), whose sum is σ = 169212803760. Its totient is φ = 19298331648.

The previous prime is 58696730207. The next prime is 58696730221. The reversal of 58696730208 is 80203769685.

It is a happy number.

58696730208 is a `hidden beast` number, since 586 + 9 + 6 + 7 + 30 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×586967302082 (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 (58696730207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7121866 + ... + 7130102.

It is an arithmetic number, because the mean of its divisors is an integer number (1175088915).

Almost surely, 258696730208 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 58696730208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84606401880).

58696730208 is an abundant number, since it is smaller than the sum of its proper divisors (110516073552).

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

58696730208 is a wasteful number, since it uses less digits than its factorization.

58696730208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 58696730208 in words is "fifty-eight billion, six hundred ninety-six million, seven hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 227 288 327 436 454 654 681 872 908 981 1308 1362 1744 1816 1962 2043 2616 2724 3488 3632 3924 4086 5232 5448 7264 7848 8172 8237 10464 10896 15696 16344 16474 21792 24711 24743 31392 32688 32948 49422 49486 65376 65896 74133 74229 98844 98972 131792 148266 148458 197688 197944 222687 263584 296532 296916 395376 395888 445374 593064 593832 790752 791776 890748 897833 1186128 1187664 1781496 1795666 1869799 2372256 2375328 2693499 3562992 3591332 3739598 5386998 5609397 7125984 7182664 7479196 8080497 10773996 11218794 14365328 14958392 16160994 16828191 21547992 22437588 28730656 29916784 32321988 33656382 43095984 44875176 59833568 64643976 67312764 86191968 89750352 129287952 134625528 179500704 203808091 258575904 269251056 407616182 538502112 611424273 815232364 1222848546 1630464728 1834272819 2445697092 3260929456 3668545638 4891394184 6521858912 7337091276 9782788368 14674182552 19565576736 29348365104 58696730208