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861721117440 = 2835224406541
BaseRepresentation
bin11001000101000101001…
…01001100001100000000
310001101020211022101000020
430202202211030030000
5103104301101224230
61455511430053440
7116154152433561
oct14424245141400
93041224271006
10861721117440
113024aa118867
1211b0107aa280
136334c168041
142d9c963a168
1517636bba810
hexc8a294c300

861721117440 has 72 divisors (see below), whose sum is σ = 2752121831088. Its totient is φ = 229792296960.

The previous prime is 861721117421. The next prime is 861721117459. The reversal of 861721117440 is 44711127168.

It is an interprime number because it is at equal distance from previous prime (861721117421) and next prime (861721117459).

It is a junction number, because it is equal to n+sod(n) for n = 861721117392 and 861721117401.

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 7 ways as a sum of consecutive naturals, for example, 112199431 + ... + 112207110.

Almost surely, 2861721117440 is an apocalyptic number.

861721117440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861721117440 is an abundant number, since it is smaller than the sum of its proper divisors (1890400713648).

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

861721117440 is a wasteful number, since it uses less digits than its factorization.

861721117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224406565 (or 224406551 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 861721117440 in words is "eight hundred sixty-one billion, seven hundred twenty-one million, one hundred seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 224406541 448813082 673219623 897626164 1122032705 1346439246 1795252328 2244065410 2692878492 3366098115 3590504656 4488130820 5385756984 6732196230 7181009312 8976261640 10771513968 13464392460 14362018624 17952523280 21543027936 26928784920 28724037248 35905046560 43086055872 53857569840 57448074496 71810093120 86172111744 107715139680 143620186240 172344223488 215430279360 287240372480 430860558720 861721117440