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31682704512 = 273473534973
BaseRepresentation
bin11101100000011011…
…111011010010000000
310000210000121011000110
4131200123323102000
51004341233021022
622315502151320
72201061354624
oct354033732200
9100700534013
1031682704512
1112489073918
126182582540
132cabb97244
141767b0b184
15c5671300c
hex7606fb480

31682704512 has 128 divisors (see below), whose sum is σ = 86208572160. Its totient is φ = 10304847872.

The previous prime is 31682704489. The next prime is 31682704513. The reversal of 31682704512 is 21540728613.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (31682704513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6368458 + ... + 6373430.

It is an arithmetic number, because the mean of its divisors is an integer number (673504470).

Almost surely, 231682704512 is an apocalyptic number.

31682704512 is a gapful number since it is divisible by the number (32) 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 31682704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43104286080).

31682704512 is an abundant number, since it is smaller than the sum of its proper divisors (54525867648).

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

31682704512 is a wasteful number, since it uses less digits than its factorization.

31682704512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 31682704512 in words is "thirty-one billion, six hundred eighty-two million, seven hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 353 376 384 564 706 752 1059 1128 1412 1504 2118 2256 2824 3008 4236 4512 4973 5648 6016 8472 9024 9946 11296 14919 16591 16944 18048 19892 22592 29838 33182 33888 39784 45184 49773 59676 66364 67776 79568 99546 119352 132728 135552 159136 199092 233731 238704 265456 318272 398184 467462 477408 530912 636544 701193 796368 934924 954816 1061824 1402386 1592736 1755469 1869848 1909632 2123648 2804772 3185472 3510938 3739696 5266407 5609544 6370944 7021876 7479392 10532814 11219088 14043752 14958784 21065628 22438176 28087504 29917568 42131256 44876352 56175008 82507043 84262512 89752704 112350016 165014086 168525024 224700032 247521129 330028172 337050048 495042258 660056344 674100096 990084516 1320112688 1980169032 2640225376 3960338064 5280450752 7920676128 10560901504 15841352256 31682704512