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58574349216 = 25323136827
BaseRepresentation
bin110110100011010011…
…011010001110100000
312121012010222020112100
4312203103122032200
51424430013133331
642524135330400
74142345516265
oct664323321640
9177163866470
1058574349216
1122928769579
12b428520a00
1356a629a246
142b993c526c
1517cc4e2ae6
hexda34da3a0

58574349216 has 144 divisors (see below), whose sum is σ = 172148191488. Its totient is φ = 18892183680.

The previous prime is 58574349199. The next prime is 58574349227. The reversal of 58574349216 is 61294347585.

It is a happy number.

58574349216 is a `hidden beast` number, since 5 + 8 + 574 + 3 + 49 + 21 + 6 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8576395 + ... + 8583221.

It is an arithmetic number, because the mean of its divisors is an integer number (1195473552).

Almost surely, 258574349216 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 58574349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86074095744).

58574349216 is an abundant number, since it is smaller than the sum of its proper divisors (113573842272).

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

58574349216 is an equidigital number, since it uses as much as digits as its factorization.

58574349216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6863 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 58574349216 in words is "fifty-eight billion, five hundred seventy-four million, three hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 961 992 1116 1488 1922 2232 2883 2976 3844 4464 5766 6827 7688 8649 8928 11532 13654 15376 17298 20481 23064 27308 29791 30752 34596 40962 46128 54616 59582 61443 69192 81924 89373 92256 109232 119164 122886 138384 163848 178746 211637 218464 238328 245772 268119 276768 327696 357492 423274 476656 491544 536238 634911 655392 714984 846548 953312 983088 1072476 1269822 1429968 1693096 1904733 1966176 2144952 2539644 2859936 3386192 3809466 4289904 5079288 6560747 6772384 7618932 8579808 10158576 13121494 15237864 19682241 20317152 26242988 30475728 39364482 52485976 59046723 60951456 78728964 104971952 118093446 157457928 203383157 209943904 236186892 314915856 406766314 472373784 610149471 629831712 813532628 944747568 1220298942 1627065256 1830448413 1889495136 2440597884 3254130512 3660896826 4881195768 6508261024 7321793652 9762391536 14643587304 19524783072 29287174608 58574349216