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45845093690760 = 23357134198268653
BaseRepresentation
bin10100110110010001001001…
…00001100010110110001000
320000022202012101220201100010
422123020210201202312020
522002111222441101020
6241300540103311520
712441125105463120
oct1233104441426610
9200282171821303
1045845093690760
1113675882233651
12518510514b5a0
131c77234a61340
14b46cb3083c80
155478094c8de0
hex29b224862d88

45845093690760 has 128 divisors (see below), whose sum is σ = 169274192129280. Its totient is φ = 9672810974208.

The previous prime is 45845093690723. The next prime is 45845093690791. The reversal of 45845093690760 is 6709639054854.

It is a junction number, because it is equal to n+sod(n) for n = 45845093690691 and 45845093690700.

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, 2099123407 + ... + 2099145246.

It is an arithmetic number, because the mean of its divisors is an integer number (1322454626010).

Almost surely, 245845093690760 is an apocalyptic number.

45845093690760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45845093690760 is an abundant number, since it is smaller than the sum of its proper divisors (123429098438520).

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

45845093690760 is a wasteful number, since it uses less digits than its factorization.

45845093690760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198268687 (or 4198268683 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 45845093690760 in words is "forty-five trillion, eight hundred forty-five billion, ninety-three million, six hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 4198268653 8396537306 12594805959 16793074612 20991343265 25189611918 29387880571 33586149224 41982686530 50379223836 54577492489 58775761142 62974029795 83965373060 88163641713 100758447672 109154984978 117551522284 125948059590 146939402855 163732477467 167930746120 176327283426 218309969956 235103044568 251896119180 272887462445 293878805710 327464954934 352654566852 382042447423 436619939912 440818208565 503792238360 545774924890 587757611420 654929909868 705309133704 764084894846 818662387335 881636417130 1091549849780 1146127342269 1175515222840 1309859819736 1528169789692 1637324774670 1763272834260 1910212237115 2183099699560 2292254684538 3056339579384 3274649549340 3526545668520 3820424474230 4584509369076 5730636711345 6549299098680 7640848948460 9169018738152 11461273422690 15281697896920 22922546845380 45845093690760