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1099950432864 = 25333756959753
BaseRepresentation
bin10000000000011010001…
…001111010001001100000
310220011011102210111101220
4100000122021322021200
5121010144302322424
62201151003055040
7142316540261643
oct20003211721140
93804142714356
101099950432864
11394539386518
12159217211480
137c956741bca
143b348a83a5a
151d92b45e579
hex1001a27a260

1099950432864 has 96 divisors (see below), whose sum is σ = 2901075821280. Its totient is φ = 364913590272.

The previous prime is 1099950432821. The next prime is 1099950432871. The reversal of 1099950432864 is 4682340599901.

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

It is a super-3 number, since 3×10999504328643 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1099950432798 and 1099950432807.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18378412 + ... + 18438164.

It is an arithmetic number, because the mean of its divisors is an integer number (30219539805).

Almost surely, 21099950432864 is an apocalyptic number.

It is an amenable number.

1099950432864 is an abundant number, since it is smaller than the sum of its proper divisors (1801125388416).

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

1099950432864 is a wasteful number, since it uses less digits than its factorization.

1099950432864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60672 (or 60664 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 1099950432864 in words is "one trillion, ninety-nine billion, nine hundred fifty million, four hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 337 569 674 1011 1138 1348 1707 2022 2276 2696 3414 4044 4552 5392 6828 8088 9104 10784 13656 16176 18208 27312 32352 54624 59753 119506 179259 191753 239012 358518 383506 478024 575259 717036 767012 956048 1150518 1434072 1534024 1912096 2301036 2868144 3068048 4602072 5736288 6136096 9204144 18408288 20136761 33999457 40273522 60410283 67998914 80547044 101998371 120820566 135997828 161094088 203996742 241641132 271995656 322188176 407993484 483282264 543991312 644376352 815986968 966564528 1087982624 1631973936 1933129056 3263947872 11457817009 22915634018 34373451027 45831268036 68746902054 91662536072 137493804108 183325072144 274987608216 366650144288 549975216432 1099950432864