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990641227776 = 21131265312743
BaseRepresentation
bin11100110101001101101…
…00011000100000000000
310111201000111020112111120
432122212310120200000
5112212313123242101
62035032211312240
7131400004333554
oct16324664304000
93451014215446
10990641227776
113521461688a2
1213bbab8ab680
13725563b05b5
1435d3951d864
151ab7ed1bb36
hexe6a6d18800

990641227776 has 96 divisors (see below), whose sum is σ = 2641480994880. Its totient is φ = 330161733632.

The previous prime is 990641227727. The next prime is 990641227799. The reversal of 990641227776 is 677722146099.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77733661 + ... + 77746403.

It is an arithmetic number, because the mean of its divisors is an integer number (27515427030).

Almost surely, 2990641227776 is an apocalyptic number.

990641227776 is a gapful number since it is divisible by the number (96) 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 990641227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320740497440).

990641227776 is an abundant number, since it is smaller than the sum of its proper divisors (1650839767104).

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

990641227776 is a wasteful number, since it uses less digits than its factorization.

990641227776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421 (or 25401 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 990641227776 in words is "nine hundred ninety billion, six hundred forty-one million, two hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 12653 12743 25306 25486 37959 38229 50612 50972 75918 76458 101224 101944 151836 152916 202448 203888 303672 305832 404896 407776 607344 611664 809792 815552 1214688 1223328 1619584 1631104 2429376 2446656 3239168 3262208 4858752 4893312 6478336 6524416 9717504 9786624 12956672 13048832 19435008 19573248 25913344 26097664 38870016 39146496 77740032 78292992 161237179 322474358 483711537 644948716 967423074 1289897432 1934846148 2579794864 3869692296 5159589728 7739384592 10319179456 15478769184 20638358912 30957538368 41276717824 61915076736 82553435648 123830153472 165106871296 247660306944 330213742592 495320613888 990641227776