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34498381611568 = 24731101137718087
BaseRepresentation
bin1111101100000010001111…
…10010000000001000110000
311112011000100112022112002111
413312001013302000020300
514010210141143032233
6201212200540455104
710160266025244250
oct766010762001060
9145130315275074
1034498381611568
11aaa0755059a16
123a5202624a494
13163324ccb1c54
14873a329cd960
153ec5ae784acd
hex1f6047c80230

34498381611568 has 160 divisors (see below), whose sum is σ = 80215553875968. Its totient is φ = 14062996224000.

The previous prime is 34498381611521. The next prime is 34498381611587. The reversal of 34498381611568 is 86511618389443.

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 31 ways as a sum of consecutive naturals, for example, 47683021 + ... + 48401107.

Almost surely, 234498381611568 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 34498381611568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40107776937984).

34498381611568 is an abundant number, since it is smaller than the sum of its proper divisors (45717172264400).

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

34498381611568 is a wasteful number, since it uses less digits than its factorization.

34498381611568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718371 (or 718365 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 67.

The spelling of 34498381611568 in words is "thirty-four trillion, four hundred ninety-eight billion, three hundred eighty-one million, six hundred eleven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 101 112 124 137 202 217 248 274 404 434 496 548 707 808 868 959 1096 1414 1616 1736 1918 2192 2828 3131 3472 3836 4247 5656 6262 7672 8494 11312 12524 13837 15344 16988 21917 25048 27674 29729 33976 43834 50096 55348 59458 67952 87668 96859 110696 118916 175336 193718 221392 237832 350672 387436 428947 475664 718087 774872 857894 1436174 1549744 1715788 2872348 3002629 3431576 5026609 5744696 6005258 6863152 10053218 11489392 12010516 20106436 22260697 24021032 40212872 44521394 48042064 72526787 80425744 89042788 98377919 145053574 155824879 178085576 196755838 290107148 311649758 356171152 393511676 507687509 580214296 623299516 688645433 787023352 1015375018 1160428592 1246599032 1377290866 1574046704 2030750036 2248330397 2493198064 2754581732 3049715489 4061500072 4496660794 5509163464 6099430978 8123000144 8993321588 9936169819 11018326928 12198861956 15738312779 17986643176 19872339638 21348008423 24397723912 31476625558 35973286352 39744679276 42696016846 48795447824 62953251116 69553188733 79489358552 85392033692 125906502232 139106377466 158978717104 170784067384 251813004464 278212754932 308021264389 341568134768 556425509864 616042528778 1112851019728 1232085057556 2156148850723 2464170115112 4312297701446 4928340230224 8624595402892 17249190805784 34498381611568