Search a number
-
+
60630575596128 = 25321912299015581
BaseRepresentation
bin11011100100100101001111…
…11010111100001001100000
321221200020010001121210021200
431302102213322330021200
530421332404323034003
6332541145113521200
715525262120161216
oct1562224772741140
9257606101553250
1060630575596128
111835631231960a
126972741113200
1327aa591c038c5
1410d876d658cb6
15702218d466a3
hex3724a7ebc260

60630575596128 has 144 divisors (see below), whose sum is σ = 181640536786800. Its totient is φ = 19130916510720.

The previous prime is 60630575596117. The next prime is 60630575596159. The reversal of 60630575596128 is 82169557503606.

It is a happy number.

60630575596128 is a `hidden beast` number, since 6 + 0 + 6 + 3 + 0 + 5 + 7 + 5 + 5 + 9 + 612 + 8 = 666.

60630575596128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2217298 + ... + 11232878.

It is an arithmetic number, because the mean of its divisors is an integer number (1261392616575).

Almost surely, 260630575596128 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 60630575596128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90820268393400).

60630575596128 is an abundant number, since it is smaller than the sum of its proper divisors (121009961190672).

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

60630575596128 is a wasteful number, since it uses less digits than its factorization.

60630575596128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016845 (or 9016834 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 60630575596128 in words is "sixty trillion, six hundred thirty billion, five hundred seventy-five million, five hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1229 1368 1824 2458 2736 3687 4916 5472 7374 9832 11061 14748 19664 22122 23351 29496 39328 44244 46702 58992 70053 88488 93404 117984 140106 176976 186808 210159 280212 353952 373616 420318 560424 747232 840636 1120848 1681272 2241696 3362544 6725088 9015581 18031162 27046743 36062324 54093486 72124648 81140229 108186972 144249296 162280458 171296039 216373944 288498592 324560916 342592078 432747888 513888117 649121832 685184156 865495776 1027776234 1298243664 1370368312 1541664351 2055552468 2596487328 2740736624 3083328702 4111104936 5481473248 6166657404 8222209872 11080149049 12333314808 16444419744 22160298098 24666629616 33240447147 44320596196 49333259232 66480894294 88641192392 99721341441 132961788588 177282384784 199442682882 210522831931 265923577176 354564769568 398885365764 421045663862 531847154352 631568495793 797770731528 842091327724 1063694308704 1263136991586 1595541463056 1684182655448 1894705487379 2526273983172 3191082926112 3368365310896 3789410974758 5052547966344 6736730621792 7578821949516 10105095932688 15157643899032 20210191865376 30315287798064 60630575596128