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53650368816 = 243111737161543
BaseRepresentation
bin110001111101110011…
…111010100100110000
312010110222122010020220
4301331303322210300
51334333443300231
640351401333040
73606335416302
oct617563724460
9163428563226
1053650368816
1120831264190
12a493497180
1350a0107085
14284d471972
1515e00a5896
hexc7dcfa930

53650368816 has 160 divisors (see below), whose sum is σ = 164418190848. Its totient is φ = 14887710720.

The previous prime is 53650368809. The next prime is 53650368817. The reversal of 53650368816 is 61886305635.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (53650368817) 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, 251341 + ... + 412883.

Almost surely, 253650368816 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 53650368816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82209095424).

53650368816 is an abundant number, since it is smaller than the sum of its proper divisors (110767822032).

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

53650368816 is a wasteful number, since it uses less digits than its factorization.

53650368816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161619 (or 161613 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 53650368816 in words is "fifty-three billion, six hundred fifty million, three hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 37 44 48 51 66 68 74 88 102 111 132 136 148 176 187 204 222 264 272 296 374 407 408 444 528 561 592 629 748 814 816 888 1122 1221 1258 1496 1628 1776 1887 2244 2442 2516 2992 3256 3774 4488 4884 5032 6512 6919 7548 8976 9768 10064 13838 15096 19536 20757 27676 30192 41514 55352 83028 110704 161543 166056 323086 332112 484629 646172 969258 1292344 1776973 1938516 2584688 2746231 3553946 3877032 5330919 5492462 5977091 7107892 7754064 8238693 10661838 10984924 11954182 14215784 16477386 17931273 21323676 21969848 23908364 28431568 30208541 32954772 35862546 42647352 43939696 47816728 60417082 65748001 65909544 71725092 85294704 90625623 95633456 101610547 120834164 131496002 131819088 143450184 181251246 197244003 203221094 241668328 262992004 286900368 304831641 362502492 394488006 406442188 483336656 525984008 609663282 725004984 788976012 812884376 1051968016 1117716017 1219326564 1450009968 1577952024 1625768752 2235432034 2438653128 3155904048 3353148051 4470864068 4877306256 6706296102 8941728136 13412592204 17883456272 26825184408 53650368816