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93920935205040 = 24354769112049673
BaseRepresentation
bin10101010110101110101011…
…111110101101100010110000
3110022112202100110102020112020
4111112232223332231202300
544302300033403030130
6531430403150431440
725532364221022546
oct2526565376554260
9408482313366466
1093920935205040
1127a20710456079
12a64a60b202580
134053924652c08
141929b24569d96
15acd1744eae10
hex556babfad8b0

93920935205040 has 160 divisors (see below), whose sum is σ = 297780026858496. Its totient is φ = 24477221713920.

The previous prime is 93920935204973. The next prime is 93920935205093. The reversal of 93920935205040 is 4050253902939.

It is a super-2 number, since 2×939209352050402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1769644 + ... + 13819316.

Almost surely, 293920935205040 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 93920935205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148890013429248).

93920935205040 is an abundant number, since it is smaller than the sum of its proper divisors (203859091653456).

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

93920935205040 is a wasteful number, since it uses less digits than its factorization.

93920935205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12050427 (or 12050421 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 93920935205040 in words is "ninety-three trillion, nine hundred twenty billion, nine hundred thirty-five million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 691 705 752 940 1128 1382 1410 1880 2073 2256 2764 2820 3455 3760 4146 5528 5640 6910 8292 10365 11056 11280 13820 16584 20730 27640 32477 33168 41460 55280 64954 82920 97431 129908 162385 165840 194862 259816 324770 389724 487155 519632 649540 779448 974310 1299080 1558896 1948620 2598160 3897240 7794480 12049673 24099346 36149019 48198692 60248365 72298038 96397384 120496730 144596076 180745095 192794768 240993460 289192152 361490190 481986920 566334631 578384304 722980380 963973840 1132669262 1445960760 1699003893 2265338524 2831673155 2891921520 3398007786 4530677048 5663346310 6796015572 8326324043 8495019465 9061354096 11326692620 13592031144 16652648086 16990038930 22653385240 24978972129 27184062288 33305296172 33980077860 41631620215 45306770480 49957944258 66610592344 67960155720 83263240430 99915888516 124894860645 133221184688 135920311440 166526480860 199831777032 249789721290 333052961720 391337230021 399663554064 499579442580 666105923440 782674460042 999158885160 1174011690063 1565348920084 1956686150105 1998317770320 2348023380126 3130697840168 3913372300210 4696046760252 5870058450315 6261395680336 7826744600420 9392093520504 11740116900630 15653489200840 18784187041008 23480233801260 31306978401680 46960467602520 93920935205040