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81976813376 = 2667103313593
BaseRepresentation
bin100110001011000110…
…0101110011101000000
321211121002211121011012
41030112030232131000
52320342031012001
6101354251340052
75631314262623
oct1142614563500
9254532747135
1081976813376
1131847857247
1213a79a51628
137965851483
143d79519dba
1521ebd012bb
hex131632e740

81976813376 has 112 divisors (see below), whose sum is σ = 167518226304. Its totient is φ = 39789674496.

The previous prime is 81976813363. The next prime is 81976813409. The reversal of 81976813376 is 67331867918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138240536 + ... + 138241128.

Almost surely, 281976813376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81976813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83759113152).

81976813376 is an abundant number, since it is smaller than the sum of its proper divisors (85541412928).

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

81976813376 is a wasteful number, since it uses less digits than its factorization.

81976813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 59.

The spelling of 81976813376 in words is "eighty-one billion, nine hundred seventy-six million, eight hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 67 103 134 206 268 313 412 536 593 626 824 1072 1186 1252 1648 2144 2372 2504 3296 4288 4744 5008 6592 6901 9488 10016 13802 18976 20032 20971 27604 32239 37952 39731 41942 55208 61079 64478 79462 83884 110416 122158 128956 158924 167768 185609 220832 244316 257912 317848 335536 371218 441664 488632 515824 635696 671072 742436 977264 1031648 1271392 1342144 1484872 1954528 2063296 2160013 2542784 2969744 3909056 4092293 4320026 5939488 8184586 8640052 11878976 12435803 16369172 17280104 19117727 24871606 32738344 34560208 38235454 49743212 65476688 69120416 76470908 99486424 130953376 138240832 152941816 198972848 261906752 305883632 397945696 611767264 795891392 1223534528 1280887709 2561775418 5123550836 10247101672 20494203344 40988406688 81976813376