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399999639980016 = 2432113174771406539
BaseRepresentation
bin101101011110011000010110…
…0011100111000011111110000
31221110021120222122211012120100
41122330300230130320133300
5404412043230313330031
63534421144154312400
7150153006652543356
oct13274605434703760
91843246878735510
10399999639980016
111064a799288831a
1238a4273a128700
1314226a5ba96b8b
1470ac12b8cd7d6
153139d96715de6
hex16bcc2c7387f0

399999639980016 has 120 divisors (see below), whose sum is σ = 1129415438165040. Its totient is φ = 132145617881088.

The previous prime is 399999639979981. The next prime is 399999639980047. The reversal of 399999639980016 is 610089936999993.

399999639980016 is a `hidden beast` number, since 39 + 9 + 99 + 96 + 399 + 8 + 0 + 0 + 16 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 399999639979899 and 399999639979908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283682475 + ... + 285089013.

It is an arithmetic number, because the mean of its divisors is an integer number (9411795318042).

Almost surely, 2399999639980016 is an apocalyptic number.

399999639980016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399999639980016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564707719082520).

399999639980016 is an abundant number, since it is smaller than the sum of its proper divisors (729415798185024).

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

399999639980016 is a wasteful number, since it uses less digits than its factorization.

399999639980016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424143 (or 1424134 counting only the distinct ones).

The product of its (nonzero) digits is 12397455648, while the sum is 90.

The spelling of 399999639980016 in words is "three hundred ninety-nine trillion, nine hundred ninety-nine billion, six hundred thirty-nine million, nine hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 17477 34954 52431 69908 104862 139816 157293 209724 279632 314586 419448 629172 838896 1258344 1406539 1974901 2516688 2813078 3949802 4219617 5626156 5924703 7899604 8439234 11252312 11849406 12658851 15799208 16878468 17774109 22504624 23698812 25317702 31598416 33756936 35548218 47397624 50635404 67513872 71096436 94795248 101270808 142192872 158938907 202541616 284385744 317877814 476816721 635755628 953633442 1271511256 1430450163 1907266884 2543022512 2860900326 3814533768 5721800652 7629067536 11443601304 22887202608 24582082103 49164164206 73746246309 98328328412 147492492618 196656656824 221238738927 294984985236 393313313648 442477477854 589969970472 884954955708 1179939940944 1769909911416 2777775277639 3539819822832 5555550555278 8333325832917 11111101110556 16666651665834 22222202221112 24999977498751 33333303331668 44444404442224 49999954997502 66666606663336 99999909995004 133333213326672 199999819990008 399999639980016