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20013730766505 = 3257162739050801
BaseRepresentation
bin1001000110011110011110…
…10100000001111010101001
32121212021221022022201022100
410203033033110001322221
510110401110034012010
6110322103032044013
74133641622431050
oct443171724017251
977767838281270
1020013730766505
116416859296153
1222b2965b33609
13b22395ba7948
144d2953a8d397
1524a90a5362c0
hex1233cf501ea9

20013730766505 has 48 divisors (see below), whose sum is σ = 39670616329344. Its totient is φ = 9143510515200.

The previous prime is 20013730766483. The next prime is 20013730766527. The reversal of 20013730766505 is 50566703731002.

20013730766505 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 73 + 0 + 76 + 6 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (20013730766483) and next prime (20013730766527).

It is not a de Polignac number, because 20013730766505 - 212 = 20013730762409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19012896 + ... + 20037905.

It is an arithmetic number, because the mean of its divisors is an integer number (826471173528).

Almost surely, 220013730766505 is an apocalyptic number.

It is an amenable number.

20013730766505 is a deficient number, since it is larger than the sum of its proper divisors (19656885562839).

20013730766505 is a wasteful number, since it uses less digits than its factorization.

20013730766505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39052446 (or 39052443 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 20013730766505 in words is "twenty trillion, thirteen billion, seven hundred thirty million, seven hundred sixty-six thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1627 4881 8135 11389 14643 24405 34167 56945 73215 102501 170835 512505 39050801 117152403 195254005 273355607 351457209 585762015 820066821 1366778035 1757286045 2460200463 4100334105 12301002315 63535653227 190606959681 317678266135 444749572589 571820879043 953034798405 1334248717767 2223747862945 2859104395215 4002746153301 6671243588835 20013730766505