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54242245754172 = 22327238897906807
BaseRepresentation
bin11000101010101010000011…
…10010100011110100111100
321010001111201100222022122100
430111111001302203310330
524102201104403113142
6311210313234345100
714265605262363300
oct1425250162436474
9233044640868570
1054242245754172
11163130096aa283
12610061642b190
132436038c51448
14d574a5583d00
15640e72cceb4c
hex315541ca3d3c

54242245754172 has 108 divisors (see below), whose sum is σ = 159539064943440. Its totient is φ = 15493797510912.

The previous prime is 54242245754141. The next prime is 54242245754231. The reversal of 54242245754172 is 27145754224245.

54242245754172 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 2 + 24 + 5 + 7 + 541 + 72 = 666.

It is a super-2 number, since 2×542422457541722 (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 35 ways as a sum of consecutive naturals, for example, 2906793 + ... + 10813599.

Almost surely, 254242245754172 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 54242245754172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79769532471720).

54242245754172 is an abundant number, since it is smaller than the sum of its proper divisors (105296819189268).

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

54242245754172 is a wasteful number, since it uses less digits than its factorization.

54242245754172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910720 (or 7910708 counting only the distinct ones).

The product of its digits is 25088000, while the sum is 54.

The spelling of 54242245754172 in words is "fifty-four trillion, two hundred forty-two billion, two hundred forty-five million, seven hundred fifty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3889 7778 11667 15556 23334 27223 35001 46668 54446 70002 81669 108892 140004 163338 190561 245007 326676 381122 490014 571683 762244 980028 1143366 1715049 2286732 3430098 6860196 7906807 15813614 23720421 31627228 47440842 55347649 71161263 94881684 110695298 142322526 166042947 221390596 284645052 332085894 387433543 498128841 664171788 774867086 996257682 1162300629 1549734172 1992515364 2324601258 3486901887 4649202516 6973803774 13947607548 30749572423 61499144846 92248717269 122998289692 184497434538 215247006961 276746151807 368994869076 430494013922 553492303614 645741020883 860988027844 1106984607228 1291482041766 1506729048727 1937223062649 2582964083532 3013458097454 3874446125298 4520187146181 6026916194908 7748892250596 9040374292362 13560561438543 18080748584724 27121122877086 54242245754172