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54329964372 = 223223798310007
BaseRepresentation
bin110010100110010100…
…010111011101010100
312012020100102011002200
4302212110113131110
51342231432324442
640543035404500
73632230035405
oct624624273524
9165210364080
1054329964372
112104a937402
12a642bb3730
13517ab50c18
1428b58179ac
15162ea9734c
hexca6517754

54329964372 has 144 divisors (see below), whose sum is σ = 146882211840. Its totient is φ = 16895571264.

The previous prime is 54329964343. The next prime is 54329964373. The reversal of 54329964372 is 27346992345.

54329964372 is a `hidden beast` number, since 543 + 2 + 9 + 9 + 64 + 37 + 2 = 666.

54329964372 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 (54329964373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5424193 + ... + 5434199.

It is an arithmetic number, because the mean of its divisors is an integer number (1020015360).

Almost surely, 254329964372 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 54329964372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73441105920).

54329964372 is an abundant number, since it is smaller than the sum of its proper divisors (92552247468).

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

54329964372 is a wasteful number, since it uses less digits than its factorization.

54329964372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202 (or 10197 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 54329964372 in words is "fifty-four billion, three hundred twenty-nine million, nine hundred sixty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 79 83 92 138 158 166 207 237 249 276 316 332 414 474 498 711 747 828 948 996 1422 1494 1817 1909 2844 2988 3634 3818 5451 5727 6557 7268 7636 10007 10902 11454 13114 16353 17181 19671 20014 21804 22908 26228 30021 32706 34362 39342 40028 59013 60042 65412 68724 78684 90063 118026 120084 150811 180126 230161 236052 301622 360252 452433 460322 603244 690483 790553 830581 904866 920644 1357299 1380966 1581106 1661162 1809732 2071449 2371659 2491743 2714598 2761932 3162212 3322324 4142898 4743318 4983486 5429196 7114977 7475229 8285796 9486636 9966972 14229954 14950458 18182719 19103363 28459908 29900916 36365438 38206726 54548157 57310089 65615899 72730876 76413452 109096314 114620178 131231798 163644471 171930267 196847697 218192628 229240356 262463596 327288942 343860534 393695394 590543091 654577884 687721068 787390788 1181086182 1509165677 2362172364 3018331354 4527497031 6036662708 9054994062 13582491093 18109988124 27164982186 54329964372