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54129298896 = 2433315968507
BaseRepresentation
bin110010011010010110…
…111000110111010000
312011201100211021211000
4302122112320313100
51341324100031041
640511110422000
73624242310021
oct623226706720
9164640737730
1054129298896
1120a5763a472
12a5a7961900
1351483c2a5a
142896d00c48
15161c15abb6
hexc9a5b8dd0

54129298896 has 160 divisors (see below), whose sum is σ = 163103846400. Its totient is φ = 17164863360.

The previous prime is 54129298891. The next prime is 54129298907. The reversal of 54129298896 is 69889292145.

54129298896 is a `hidden beast` number, since 541 + 2 + 9 + 2 + 9 + 8 + 89 + 6 = 666.

54129298896 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 (54129298891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755875 + ... + 824381.

It is an arithmetic number, because the mean of its divisors is an integer number (1019399040).

Almost surely, 254129298896 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 54129298896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81551923200).

54129298896 is an abundant number, since it is smaller than the sum of its proper divisors (108974547504).

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

54129298896 is a wasteful number, since it uses less digits than its factorization.

54129298896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68614 (or 68602 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 54129298896 in words is "fifty-four billion, one hundred twenty-nine million, two hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 59 62 72 93 108 118 124 144 177 186 216 236 248 279 354 372 432 472 496 531 558 708 744 837 944 1062 1116 1416 1488 1593 1674 1829 2124 2232 2832 3186 3348 3658 4248 4464 5487 6372 6696 7316 8496 10974 12744 13392 14632 16461 21948 25488 29264 32922 43896 49383 65844 68507 87792 98766 131688 137014 197532 205521 263376 274028 395064 411042 548056 616563 790128 822084 1096112 1233126 1644168 1849689 2123717 2466252 3288336 3699378 4041913 4247434 4932504 6371151 7398756 8083826 8494868 9865008 12125739 12742302 14797512 16167652 16989736 19113453 24251478 25484604 29595024 32335304 33979472 36377217 38226906 48502956 50969208 57340359 64670608 72754434 76453812 97005912 101938416 109131651 114680718 125299303 145508868 152907624 194011824 218263302 229361436 250598606 291017736 305815248 375897909 436526604 458722872 501197212 582035472 751795818 873053208 917445744 1002394424 1127693727 1503591636 1746106416 2004788848 2255387454 3007183272 3383081181 4510774908 6014366544 6766162362 9021549816 13532324724 18043099632 27064649448 54129298896