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45979017076854 = 2344773425919423
BaseRepresentation
bin10100111010001010100101…
…11110101110000001110110
320000210112212202101121220000
422131011102332232001312
522011310011332424404
6241442245134252130
712453605622462651
oct1235052276560166
9200715782347800
1045979017076854
1113717656518824
1251a705b957046
131c86a587114b4
14b4d57963c898
1554b0469cc339
hex29d152fae076

45979017076854 has 160 divisors (see below), whose sum is σ = 106691015946240. Its totient is φ = 14790528574848.

The previous prime is 45979017076847. The next prime is 45979017076873. The reversal of 45979017076854 is 45867071097954.

45979017076854 is a `hidden beast` number, since 459 + 7 + 90 + 1 + 7 + 0 + 7 + 6 + 85 + 4 = 666.

It is a super-2 number, since 2×459790170768542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2367236187 + ... + 2367255609.

It is an arithmetic number, because the mean of its divisors is an integer number (666818849664).

Almost surely, 245979017076854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45979017076854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53345507973120).

45979017076854 is an abundant number, since it is smaller than the sum of its proper divisors (60711998869386).

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

45979017076854 is a wasteful number, since it uses less digits than its factorization.

45979017076854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23816 (or 23807 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 45979017076854 in words is "forty-five trillion, nine hundred seventy-nine billion, seventeen million, seventy-six thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 47 54 73 81 94 141 146 162 219 282 423 438 657 846 1269 1314 1971 2538 3431 3807 3942 4259 5913 6862 7614 8518 10293 11826 12777 19423 20586 25554 30879 38331 38846 58269 61758 76662 92637 114993 116538 174807 185274 200173 229986 277911 310907 344979 349614 400346 524421 555822 600519 621814 689958 912881 932721 1048842 1201038 1417879 1573263 1801557 1825762 1865442 2738643 2798163 2835758 3146526 3603114 4253637 5404671 5477286 5596326 8215929 8394489 8507274 10809342 12760911 14612629 16214013 16431858 16788978 24647787 25183467 25521822 29225258 32428026 38282733 43837887 49295574 50366934 66640313 73943361 76565466 82722557 87675774 114848199 131513661 133280626 147886722 165445114 199920939 229696398 248167671 263027322 394540983 399841878 496335342 599762817 744503013 789081966 1183622949 1199525634 1489006026 1799288451 2233509039 2367245898 3598576902 3887960179 4467018078 5397865353 6038746661 6700527117 7775920358 10795730706 11663880537 12077493322 13401054234 18116239983 23327761074 34991641611 36232479966 54348719949 69983283222 104974924833 108697439898 163046159847 209949849666 283821093067 314924774499 326092319694 489138479541 567642186134 629849548998 851463279201 978276959082 1702926558402 2554389837603 5108779675206 7663169512809 15326339025618 22989508538427 45979017076854