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46141012044054 = 23317449904312379
BaseRepresentation
bin10100111110111000010101…
…01000011110100100010110
320001101001000110111121102000
422133130022220132210112
522021433243040402204
6242044515512500130
712501402202130034
oct1237341250364426
9201331013447360
1046141012044054
111377a325450304
12521252b6aa646
131c99104082785
14b5734609b554
15550378686039
hex29f70aa1e916

46141012044054 has 128 divisors (see below), whose sum is σ = 108829707840000. Its totient is φ = 14440608129024.

The previous prime is 46141012044047. The next prime is 46141012044059. The reversal of 46141012044054 is 45044021014164.

46141012044054 is a `hidden beast` number, since 4 + 6 + 1 + 41 + 0 + 1 + 204 + 405 + 4 = 666.

46141012044054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46141012044059) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3727355637 + ... + 3727368015.

It is an arithmetic number, because the mean of its divisors is an integer number (850232092500).

Almost surely, 246141012044054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46141012044054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54414853920000).

46141012044054 is an abundant number, since it is smaller than the sum of its proper divisors (62688695795946).

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

46141012044054 is a wasteful number, since it uses less digits than its factorization.

46141012044054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21899 (or 21893 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 46141012044054 in words is "forty-six trillion, one hundred forty-one billion, twelve million, forty-four thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 449 459 898 918 1347 2694 4041 7633 8082 9043 12123 12379 15266 18086 22899 24246 24758 27129 37137 45798 54258 68697 74274 81387 111411 137394 153731 162774 206091 210443 222822 244161 307462 334233 412182 420886 461193 488322 631329 668466 922386 1262658 1383579 1893987 2767158 3787974 4060307 4150737 5558171 5681961 8120614 8301474 11116342 11363922 12180921 16674513 24361842 33349026 36542763 50023539 69025219 73085526 94488907 100047078 109628289 111943297 138050438 150070617 188977814 207075657 219256578 223886594 283466721 300141234 335829891 414151314 566933442 621226971 671659782 850400163 1007489673 1242453942 1700800326 1863680913 1903036049 2014979346 2551200489 3022469019 3727361826 3806072098 5102400978 5709108147 6044938038 11418216294 17127324441 34254648882 50262540353 51381973323 100525080706 102763946646 150787621059 301575242118 452362863177 854463186001 904725726354 1357088589531 1708926372002 2563389558003 2714177179062 5126779116006 7690168674009 15380337348018 23070506022027 46141012044054