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45154113143436 = 22351122731857971
BaseRepresentation
bin10100100010001010000101…
…10111111100001010001100
312220212200122210002222200000
422101011002313330022030
521404301110431042221
6240011302504204300
712340164005650023
oct1221050267741214
9186780583088600
1045154113143436
111342982a782280
125093205169690
131c270260c595b
14b216839b98ba
15534867191e26
hex291142dfc28c

45154113143436 has 144 divisors (see below), whose sum is σ = 129184466156928. Its totient is φ = 13677037401600.

The previous prime is 45154113143389. The next prime is 45154113143441. The reversal of 45154113143436 is 63434131145154.

45154113143436 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 41 + 131 + 43 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45154113143391 and 45154113143400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23373931 + ... + 25231901.

It is an arithmetic number, because the mean of its divisors is an integer number (897114348312).

Almost surely, 245154113143436 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 45154113143436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64592233078464).

45154113143436 is an abundant number, since it is smaller than the sum of its proper divisors (84030353013492).

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

45154113143436 is a wasteful number, since it uses less digits than its factorization.

45154113143436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860274 (or 1860260 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 45154113143436 in words is "forty-five trillion, one hundred fifty-four billion, one hundred thirteen million, one hundred forty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2273 2673 3564 4546 5346 6819 9092 10692 13638 20457 25003 27276 40914 50006 61371 75009 81828 100012 122742 150018 184113 225027 245484 300036 368226 450054 552339 675081 736452 900108 1104678 1350162 1857971 2025243 2209356 2700324 3715942 4050486 5573913 6075729 7431884 8100972 11147826 12151458 16721739 20437681 22295652 24302916 33443478 40875362 50165217 61313043 66886956 81750724 100330434 122626086 150495651 183939129 200660868 245252172 300991302 367878258 451486953 551817387 601982604 735756516 902973906 1103634774 1655452161 1805947812 2207269548 3310904322 4223168083 4966356483 6621808644 8446336166 9932712966 12669504249 16892672332 19865425932 25339008498 38008512747 46454848913 50678016996 76017025494 92909697826 114025538241 139364546739 152034050988 185819395652 228051076482 278729093478 342076614723 418093640217 456102152964 557458186956 684153229446 836187280434 1026229844169 1254280920651 1368306458892 1672374560868 2052459688338 2508561841302 3762842761953 4104919376676 5017123682604 7525685523906 11288528285859 15051371047812 22577056571718 45154113143436