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216442052521020 = 2232543101276872173
BaseRepresentation
bin110001001101101001010111…
…101001111010110000111100
31001101100122202210012122022100
4301031221113221322300330
5211332141310421133040
62044200034541145100
763406264555634364
oct6115512751726074
91041318683178270
10216442052521020
1162a68617019617
1220337b0555b190
1393a0523470b51
143b63bcbb1d9a4
151a0524b634b30
hexc4da57a7ac3c

216442052521020 has 144 divisors (see below), whose sum is σ = 678460865033952. Its totient is φ = 55817429875200.

The previous prime is 216442052520943. The next prime is 216442052521039. The reversal of 216442052521020 is 20125250244612.

216442052521020 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 20 + 525 + 2 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137654347 + ... + 139217826.

It is an arithmetic number, because the mean of its divisors is an integer number (4711533784958).

Almost surely, 2216442052521020 is an apocalyptic number.

216442052521020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216442052521020 is an abundant number, since it is smaller than the sum of its proper divisors (462018812512932).

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

216442052521020 is a wasteful number, since it uses less digits than its factorization.

216442052521020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276872332 (or 276872327 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 216442052521020 in words is "two hundred sixteen trillion, four hundred forty-two billion, fifty-two million, five hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 101 129 172 180 202 215 258 303 387 404 430 505 516 606 645 774 860 909 1010 1212 1290 1515 1548 1818 1935 2020 2580 3030 3636 3870 4343 4545 6060 7740 8686 9090 13029 17372 18180 21715 26058 39087 43430 52116 65145 78174 86860 130290 156348 195435 260580 390870 781740 276872173 553744346 830616519 1107488692 1384360865 1661233038 2491849557 2768721730 3322466076 4153082595 4983699114 5537443460 8306165190 9967398228 11905503439 12459247785 16612330380 23811006878 24918495570 27964089473 35716510317 47622013756 49836991140 55928178946 59527517195 71433020634 83892268419 107149530951 111856357892 119055034390 139820447365 142866041268 167784536838 178582551585 214299061902 238110068780 251676805257 279640894730 335569073676 357165103170 419461342095 428598123804 503353610514 535747654755 559281789460 714330206340 838922684190 1006707221028 1071495309510 1202455847339 1258384026285 1677845368380 2142990619020 2404911694678 2516768052570 3607367542017 4809823389356 5033536105140 6012279236695 7214735084034 10822102626051 12024558473390 14429470168068 18036837710085 21644205252102 24049116946780 36073675420170 43288410504204 54110513130255 72147350840340 108221026260510 216442052521020