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990963501816 = 2331032477161839
BaseRepresentation
bin11100110101110100000…
…01110000101011111000
310111201211221122202101010
432122322001300223320
5112213443124024231
62035124202553520
7131410666533201
oct16327201605370
93451757582333
10990963501816
113522a1076082
1214007b8088a0
13725a80a98b2
1435d6a2505a8
151ab9d27a546
hexe6ba070af8

990963501816 has 64 divisors (see below), whose sum is σ = 2502486604800. Its totient is φ = 326980084608.

The previous prime is 990963501811. The next prime is 990963501889. The reversal of 990963501816 is 618105369099.

990963501816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) 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 (990963501811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6042225 + ... + 6204063.

It is an arithmetic number, because the mean of its divisors is an integer number (39101353200).

Almost surely, 2990963501816 is an apocalyptic number.

It is an amenable number.

990963501816 is an abundant number, since it is smaller than the sum of its proper divisors (1511523102984).

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

990963501816 is a wasteful number, since it uses less digits than its factorization.

990963501816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164428 (or 164424 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The spelling of 990963501816 in words is "nine hundred ninety billion, nine hundred sixty-three million, five hundred one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 2472 2477 4954 7431 9908 14862 19816 29724 59448 161839 255131 323678 485517 510262 647356 765393 971034 1020524 1294712 1530786 1942068 2041048 3061572 3884136 6123144 16669417 33338834 50008251 66677668 100016502 133355336 200033004 400066008 400875203 801750406 1202625609 1603500812 2405251218 3207001624 4810502436 9621004872 41290145909 82580291818 123870437727 165160583636 247740875454 330321167272 495481750908 990963501816