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20785033173040 = 2452317963107339
BaseRepresentation
bin1001011100111011001001…
…00001001101100000110000
32201121000210200212122210221
410232131210201031200300
510211020221443014130
6112112302403302424
74243445332626613
oct456354441154060
981530720778727
1020785033173040
1166939793a8154
1223b834167aa14
13b7a03555a686
1451c00295617a
152609ee21787a
hex12e76484d830

20785033173040 has 80 divisors (see below), whose sum is σ = 50708009836800. Its totient is φ = 7908106739456.

The previous prime is 20785033173001. The next prime is 20785033173059. The reversal of 20785033173040 is 4037133058702.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31224310 + ... + 31883029.

It is an arithmetic number, because the mean of its divisors is an integer number (633850122960).

Almost surely, 220785033173040 is an apocalyptic number.

20785033173040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20785033173040 is an abundant number, since it is smaller than the sum of its proper divisors (29922976663760).

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

20785033173040 is a wasteful number, since it uses less digits than its factorization.

20785033173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63107554 (or 63107548 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 20785033173040 in words is "twenty trillion, seven hundred eighty-five billion, thirty-three million, one hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 179 184 230 358 368 460 716 895 920 1432 1790 1840 2864 3580 4117 7160 8234 14320 16468 20585 32936 41170 65872 82340 164680 329360 63107339 126214678 252429356 315536695 504858712 631073390 1009717424 1262146780 1451468797 2524293560 2902937594 5048587120 5805875188 7257343985 11296213681 11611750376 14514687970 22592427362 23223500752 29029375940 45184854724 56481068405 58058751880 90369709448 112962136810 116117503760 180739418896 225924273620 259812914663 451848547240 519625829326 903697094480 1039251658652 1299064573315 2078503317304 2598129146630 4157006634608 5196258293260 10392516586520 20785033173040