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83697133992 = 23341313331821
BaseRepresentation
bin100110111110010111…
…1001110100110101000
322000000222220221101120
41031330233032212220
52332402431241432
6102241104015240
76022043620623
oct1157457164650
9260028827346
1083697133992
113254a93961a
121427a001520
137b7b094074
14409dbb0dba
15229cd6ac2c
hex137cbce9a8

83697133992 has 128 divisors (see below), whose sum is σ = 215943477120. Its totient is φ = 27016704000.

The previous prime is 83697133931. The next prime is 83697134009. The reversal of 83697133992 is 29933179638.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101944942 + ... + 101945762.

It is an arithmetic number, because the mean of its divisors is an integer number (1687058415).

Almost surely, 283697133992 is an apocalyptic number.

83697133992 is a gapful number since it is divisible by the number (82) 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 83697133992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107971738560).

83697133992 is an abundant number, since it is smaller than the sum of its proper divisors (132246343128).

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

83697133992 is a wasteful number, since it uses less digits than its factorization.

83697133992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1511 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 60.

The spelling of 83697133992 in words is "eighty-three billion, six hundred ninety-seven million, one hundred thirty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 313 328 331 492 626 662 821 939 984 993 1252 1324 1642 1878 1986 2463 2504 2648 3284 3756 3972 4926 6568 7512 7944 9852 12833 13571 19704 25666 27142 33661 38499 40713 51332 54284 67322 76998 81426 100983 102664 103603 108568 134644 153996 162852 201966 207206 256973 269288 271751 307992 310809 325704 403932 414412 513946 543502 621618 770919 807864 815253 828824 1027892 1087004 1243236 1541838 1630506 2055784 2174008 2486472 3083676 3261012 4247723 6167352 6522024 8495446 10535893 11141791 12743169 16990892 21071786 22283582 25486338 31607679 33425373 33981784 42143572 44567164 50972676 63215358 66850746 84287144 85058063 89134328 101945352 126430716 133701492 170116126 252861432 255174189 267402984 340232252 510348378 680464504 1020696756 2041393512 3487380583 6974761166 10462141749 13949522332 20924283498 27899044664 41848566996 83697133992