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204808000078 = 2114361283701
BaseRepresentation
bin1011111010111110000…
…0100001001001001110
3201120122102101101200101
42332233200201021032
511323421322000303
6234030522121314
720540222163643
oct2765740411116
9646572341611
10204808000078
117994985a890
123383995023a
131640c464c36
149cac883dca
1554da601d1d
hex2faf82124e

204808000078 has 96 divisors (see below), whose sum is σ = 353352295296. Its totient is φ = 88235280000.

The previous prime is 204808000051. The next prime is 204808000079. The reversal of 204808000078 is 870000808402.

204808000078 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

204808000078 is a nontrivial binomial coefficient, being equal to C(640013, 2).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204808000079) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 292165128 + ... + 292165828.

It is an arithmetic number, because the mean of its divisors is an integer number (3680753076).

Almost surely, 2204808000078 is an apocalyptic number.

204808000078 is the 640012-nd triangular number.

204808000078 is the 213338-th centered nonagonal number.

204808000078 is a deficient number, since it is larger than the sum of its proper divisors (148544295218).

204808000078 is a wasteful number, since it uses less digits than its factorization.

204808000078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 204808000078 in words is "two hundred four billion, eight hundred eight million, seventy-eight", and thus it is an aban number.

Divisors: 1 2 11 22 43 61 83 86 122 166 473 671 701 913 946 1342 1402 1826 2623 3569 3721 5063 5246 7138 7442 7711 10126 15422 28853 30143 39259 40931 42761 55693 57706 58183 60286 78518 81862 85522 111386 116366 160003 217709 308843 320006 331573 435418 470371 617686 640013 663146 940742 1280026 1760033 1838723 2394799 2501869 2608421 3397273 3520066 3549163 3677446 4789598 5003738 5216842 6794546 7098326 13280249 20225953 26560498 27520559 28692631 39040793 40451906 55041118 57385262 78081586 112162103 146082739 152614009 216498943 224324206 292165478 305228018 432997886 1233783133 1678754099 2381488373 2467566266 3357508198 4762976746 9309454549 18618909098 102404000039 204808000078