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934349057496 = 2333193630659
BaseRepresentation
bin11011001100010111000…
…10110010110111011000
310022022201101120222221000
431212023202302313120
5110302021324314441
61553122314545000
7124335016643211
oct15461342626730
93268641528830
10934349057496
11330289759118
121310bb738160
136a154b88aba
1433319288408
1519487d7a2b6
hexd98b8b2dd8

934349057496 has 128 divisors (see below), whose sum is σ = 2739587040000. Its totient is φ = 295057129248.

The previous prime is 934349057459. The next prime is 934349057497. The reversal of 934349057496 is 694750943439.

934349057496 is a `hidden beast` number, since 9 + 3 + 4 + 3 + 4 + 90 + 57 + 496 = 666.

It is a super-2 number, since 2×9343490574962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934349057497) 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, 1166215 + ... + 1796873.

It is an arithmetic number, because the mean of its divisors is an integer number (21403023750).

Almost surely, 2934349057496 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 934349057496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369793520000).

934349057496 is an abundant number, since it is smaller than the sum of its proper divisors (1805237982504).

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

934349057496 is a wasteful number, since it uses less digits than its factorization.

934349057496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630731 (or 630683 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 934349057496 in words is "nine hundred thirty-four billion, three hundred forty-nine million, fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4332 6498 6859 8664 9747 12996 13718 19494 20577 25992 27436 38988 41154 54872 61731 77976 82308 123462 164616 185193 246924 370386 493848 630659 740772 1261318 1481544 1891977 2522636 3783954 5045272 5675931 7567908 11351862 11982521 15135816 17027793 22703724 23965042 34055586 35947563 45407448 47930084 68111172 71895126 95860168 107842689 136222344 143790252 215685378 227667899 287580504 323528067 431370756 455335798 647056134 683003697 862741512 910671596 1294112268 1366007394 1821343192 2049011091 2588224536 2732014788 4098022182 4325690081 5464029576 6147033273 8196044364 8651380162 12294066546 12977070243 16392088728 17302760324 24588133092 25954140486 34605520648 38931210729 49176266184 51908280972 77862421458 103816561944 116793632187 155724842916 233587264374 311449685832 467174528748 934349057496