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72531030425424 = 24359263166758417
BaseRepresentation
bin10000011111011101110010…
…010011011011111101010000
3100111210220021012220021022220
4100133131302103123331100
534001322022242103144
6414132143445301040
721164123356210164
oct2037356223337520
9314726235807286
1072531030425424
112112426788229a
128174bbb404780
1331618540b18cc
1413ca740770ca4
1585ba72921919
hex41f7724dbf50

72531030425424 has 160 divisors (see below), whose sum is σ = 191390154531840. Its totient is φ = 23662252271616.

The previous prime is 72531030425423. The next prime is 72531030425437. The reversal of 72531030425424 is 42452403013527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72531030425423) 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, 1241579064 + ... + 1241637480.

It is an arithmetic number, because the mean of its divisors is an integer number (1196188465824).

Almost surely, 272531030425424 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 72531030425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95695077265920).

72531030425424 is an abundant number, since it is smaller than the sum of its proper divisors (118859124106416).

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

72531030425424 is a wasteful number, since it uses less digits than its factorization.

72531030425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60417 (or 60411 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 72531030425424 in words is "seventy-two trillion, five hundred thirty-one billion, thirty million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 263 354 472 526 708 789 944 1052 1416 1578 1667 2104 2832 3156 3334 4208 5001 6312 6668 10002 12624 13336 15517 20004 26672 31034 40008 46551 58417 62068 80016 93102 98353 116834 124136 175251 186204 196706 233668 248272 295059 350502 372408 393412 438421 467336 590118 701004 744816 786824 876842 934672 1180236 1315263 1402008 1573648 1753684 2360472 2630526 2804016 3446603 3507368 4720944 5261052 6893206 7014736 10339809 10522104 13786412 15363671 20679618 21044208 25866839 27572824 30727342 41359236 46091013 51733678 55145648 61454684 77600517 82718472 92182026 97381139 103467356 122909368 155201034 165436944 184364052 194762278 206934712 245818736 292143417 310402068 368728104 389524556 413869424 584286834 620804136 737456208 779049112 906456589 1168573668 1241608272 1558098224 1812913178 2337147336 2719369767 3625826356 4674294672 5438739534 5745487201 7251652712 10877479068 11490974402 14503305424 17236461603 21754958136 22981948804 25611239557 34472923206 43509916272 45963897608 51222479114 68945846412 76833718671 91927795216 102444958228 137891692824 153667437342 204889916456 275783385648 307334874684 409779832912 614669749368 1229339498736 1511063133863 3022126267726 4533189401589 6044252535452 9066378803178 12088505070904 18132757606356 24177010141808 36265515212712 72531030425424