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204380831816 = 23722332837907
BaseRepresentation
bin1011111001011000001…
…1000000000001001000
3201112112122120222222122
42332112003000001020
511322032443104231
6233520302310412
720523514256300
oct2762603000110
9645478528878
10204380831816
117974a718a67
123373a888408
1316371b00555
149c6bc4a600
1554b2d7377b
hex2f960c0048

204380831816 has 96 divisors (see below), whose sum is σ = 449331611040. Its totient is φ = 86896680192.

The previous prime is 204380831803. The next prime is 204380831857. The reversal of 204380831816 is 618138083402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25844135 + ... + 25852041.

It is an arithmetic number, because the mean of its divisors is an integer number (4680537615).

Almost surely, 2204380831816 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 204380831816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224665805520).

204380831816 is an abundant number, since it is smaller than the sum of its proper divisors (244950779224).

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

204380831816 is a wasteful number, since it uses less digits than its factorization.

204380831816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 204380831816 in words is "two hundred four billion, three hundred eighty million, eight hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 283 392 466 566 932 1132 1631 1864 1981 2264 3262 3962 6524 7907 7924 11417 13048 13867 15814 15848 22834 27734 31628 45668 55349 55468 63256 65939 91336 110698 110936 131878 221396 263756 387443 442792 461573 527512 774886 923146 1549772 1842331 1846292 2237681 3099544 3231011 3684662 3692584 4475362 6462022 7369324 8950724 12896317 12924044 14738648 15663767 17901448 25792634 25848088 31327534 51585268 62655068 90274219 103170536 109646369 125310136 180548438 219292738 361096876 438585476 521379673 722193752 877170952 1042759346 2085518692 3649657711 4171037384 7299315422 14598630844 25547603977 29197261688 51095207954 102190415908 204380831816