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209834159904 = 253480954537
BaseRepresentation
bin1100001101101100010…
…1110010111100100000
3202001121200222202210000
43003123011302330200
511414220021104104
6240221350140000
721105612634065
oct3033305627440
9661550882700
10209834159904
1180a98a05086
1234801051600
1316a308528c5
14a2281d4c6c
1556d19c4639
hex30db172f20

209834159904 has 60 divisors (see below), whose sum is σ = 617116443174. Its totient is φ = 69944719104.

The previous prime is 209834159881. The next prime is 209834159917. The reversal of 209834159904 is 409951438902.

209834159904 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 3 + 41 + 599 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195848732304 + 13985427600 = 442548^2 + 118260^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40474677 + ... + 40479860.

Almost surely, 2209834159904 is an apocalyptic number.

209834159904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

209834159904 is an abundant number, since it is smaller than the sum of its proper divisors (407282283270).

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

209834159904 is an equidigital number, since it uses as much as digits as its factorization.

209834159904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80954559 (or 80954542 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 209834159904 in words is "two hundred nine billion, eight hundred thirty-four million, one hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 80954537 161909074 242863611 323818148 485727222 647636296 728590833 971454444 1295272592 1457181666 1942908888 2185772499 2590545184 2914363332 3885817776 4371544998 5828726664 6557317497 7771635552 8743089996 11657453328 13114634994 17486179992 23314906656 26229269988 34972359984 52458539976 69944719968 104917079952 209834159904