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58898060144 = 2471131249747
BaseRepresentation
bin110110110110100110…
…010001001101110000
312122000201002110102222
4312312212101031300
51431110400411034
643020221500212
74153356152030
oct666646211560
9178021073388
1058898060144
1122a84468370
12b4b8a11668
13572837a581
142bca3ab8c0
1517eab3712e
hexdb6991370

58898060144 has 120 divisors (see below), whose sum is σ = 147013697664. Its totient is φ = 22206614400.

The previous prime is 58898060099. The next prime is 58898060159. The reversal of 58898060144 is 44106089885.

It is a happy number.

58898060144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1159079 + ... + 1208825.

Almost surely, 258898060144 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 58898060144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73506848832).

58898060144 is an abundant number, since it is smaller than the sum of its proper divisors (88115637520).

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

58898060144 is a wasteful number, since it uses less digits than its factorization.

58898060144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49835 (or 49798 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 53.

The spelling of 58898060144 in words is "fifty-eight billion, eight hundred ninety-eight million, sixty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 961 1232 1364 1736 1922 2387 2728 3472 3844 4774 5456 6727 7688 9548 10571 13454 15376 19096 21142 26908 38192 42284 49747 53816 73997 84568 99494 107632 147994 169136 198988 295988 348229 397976 547217 591976 696458 795952 1094434 1183952 1392916 1542157 2188868 2785832 3084314 3830519 4377736 5571664 6168628 7661038 8755472 10795099 12337256 15322076 16963727 21590198 24674512 30644152 33927454 43180396 47806867 61288304 67854908 86360792 95613734 118746089 135709816 172721584 191227468 237492178 271419632 334648069 382454936 474984356 525875537 669296138 764909872 949968712 1051751074 1338592276 1899937424 2103502148 2677184552 3681128759 4207004296 5354369104 7362257518 8414008592 14724515036 29449030072 58898060144