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89936426424 = 233134576191019
BaseRepresentation
bin101001111000010100…
…0001111010110111000
322121010211020211120110
41103300220033112320
52433142211121144
6105152145424320
76332465003565
oct1236050172670
9277124224513
1089936426424
113516184a349
121551b63b0a0
1386338c3890
1444d26ad86c
1525159c00b9
hex14f0a0f5b8

89936426424 has 128 divisors (see below), whose sum is σ = 243296928000. Its totient is φ = 27540532224.

The previous prime is 89936426347. The next prime is 89936426429. The reversal of 89936426424 is 42462463998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89936426429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88258987 + ... + 88260005.

It is an arithmetic number, because the mean of its divisors is an integer number (1900757250).

Almost surely, 289936426424 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 89936426424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121648464000).

89936426424 is an abundant number, since it is smaller than the sum of its proper divisors (153360501576).

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

89936426424 is a wasteful number, since it uses less digits than its factorization.

89936426424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2113 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 89936426424 in words is "eighty-nine billion, nine hundred thirty-six million, four hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 457 619 914 1019 1238 1371 1828 1857 2038 2476 2742 3057 3656 3714 4076 4952 5484 5941 6114 7428 8047 8152 10968 11882 12228 13247 14856 16094 17823 23764 24141 24456 26494 32188 35646 39741 47528 48282 52988 64376 71292 79482 96564 105976 142584 158964 193128 282883 317928 465683 565766 630761 848649 931366 1131532 1261522 1397049 1697298 1862732 1892283 2263064 2523044 2794098 3394596 3677479 3725464 3784566 5046088 5588196 6053879 6789192 7354958 7569132 8199893 11032437 11176392 12107758 14709916 15138264 16399786 18161637 22064874 24215516 24599679 29419832 32799572 36323274 44129748 48431032 49199358 65599144 72646548 88259496 98398716 145293096 196797432 288257777 576515554 864773331 1153031108 1729546662 2306062216 3459093324 3747351101 6918186648 7494702202 11242053303 14989404404 22484106606 29978808808 44968213212 89936426424