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81358711632 = 24331117120941
BaseRepresentation
bin100101111000101011…
…0110110101101010000
321210000000202202222000
41023301112312231100
52313110312233012
6101213051314000
75610100432002
oct1136126665520
9253000682860
1081358711632
113155a965260
1213926a4b900
1378977884b3
143d1b3c0372
1521b2909ddc
hex12f15b6b50

81358711632 has 80 divisors (see below), whose sum is σ = 254759616960. Its totient is φ = 24654153600.

The previous prime is 81358711619. The next prime is 81358711649. The reversal of 81358711632 is 23611785318.

It is a happy number.

81358711632 is a `hidden beast` number, since 8 + 1 + 3 + 5 + 8 + 7 + 1 + 1 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8555719 + ... + 8565222.

It is an arithmetic number, because the mean of its divisors is an integer number (3184495212).

Almost surely, 281358711632 is an apocalyptic number.

It is an amenable number.

81358711632 is an abundant number, since it is smaller than the sum of its proper divisors (173400905328).

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

81358711632 is a wasteful number, since it uses less digits than its factorization.

81358711632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120969 (or 17120957 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 81358711632 in words is "eighty-one billion, three hundred fifty-eight million, seven hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 17120941 34241882 51362823 68483764 102725646 136967528 154088469 188330351 205451292 273935056 308176938 376660702 410902584 462265407 564991053 616353876 753321404 821805168 924530814 1129982106 1232707752 1506642808 1694973159 1849061628 2259964212 2465415504 3013285616 3389946318 3698123256 4519928424 5084919477 6779892636 7396246512 9039856848 10169838954 13559785272 20339677908 27119570544 40679355816 81358711632