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81626117120 = 210538634127
BaseRepresentation
bin100110000000101001…
…0111011010000000000
321210200122221101022222
41030001102323100000
52314132241221440
6101255402550212
75616525355562
oct1140122732000
9253618841288
1081626117120
11316878a6a29
12139a0508368
13790acb33b2
143d44b0b332
1521cb12b2b5
hex13014bb400

81626117120 has 88 divisors (see below), whose sum is σ = 195905170944. Its totient is φ = 32634085376.

The previous prime is 81626117063. The next prime is 81626117129. The reversal of 81626117120 is 2171162618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81626117129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19776497 + ... + 19780623.

Almost surely, 281626117120 is an apocalyptic number.

81626117120 is a gapful number since it is divisible by the number (80) 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 81626117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97952585472).

81626117120 is an abundant number, since it is smaller than the sum of its proper divisors (114279053824).

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

81626117120 is a wasteful number, since it uses less digits than its factorization.

81626117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

Adding to 81626117120 its reverse (2171162618), we get a palindrome (83797279738).

The spelling of 81626117120 in words is "eighty-one billion, six hundred twenty-six million, one hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3863 4127 5120 7726 8254 15452 16508 19315 20635 30904 33016 38630 41270 61808 66032 77260 82540 123616 132064 154520 165080 247232 264128 309040 330160 494464 528256 618080 660320 988928 1056512 1236160 1320640 1977856 2113024 2472320 2641280 3955712 4226048 4944640 5282560 9889280 10565120 15942601 19778560 21130240 31885202 63770404 79713005 127540808 159426010 255081616 318852020 510163232 637704040 1020326464 1275408080 2040652928 2550816160 4081305856 5101632320 8162611712 10203264640 16325223424 20406529280 40813058560 81626117120