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31614685648 = 2471335361511
BaseRepresentation
bin11101011100011000…
…011101000111010000
310000121021121102200021
4131130120131013100
51004221324420043
622305032233224
72166304252120
oct353430350720
9100537542607
1031614685648
1112453736287
12616383b814
132c9aa703b0
14175ca82c80
15c507793ed
hex75c61d1d0

31614685648 has 80 divisors (see below), whose sum is σ = 75603661056. Its totient is φ = 12471275520.

The previous prime is 31614685607. The next prime is 31614685651. The reversal of 31614685648 is 84658641613.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 31614685595 and 31614685604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483213 + ... + 544723.

Almost surely, 231614685648 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 31614685648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37801830528).

31614685648 is an abundant number, since it is smaller than the sum of its proper divisors (43988975408).

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

31614685648 is a wasteful number, since it uses less digits than its factorization.

31614685648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61892 (or 61886 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 31614685648 in words is "thirty-one billion, six hundred fourteen million, six hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 353 364 706 728 1412 1456 2471 2824 4589 4942 5648 9178 9884 18356 19768 32123 36712 39536 61511 64246 73424 123022 128492 246044 256984 430577 492088 513968 799643 861154 984176 1599286 1722308 3198572 3444616 5597501 6397144 6889232 11195002 12794288 21713383 22390004 43426766 44780008 86853532 89560016 151993681 173707064 282273979 303987362 347414128 564547958 607974724 1129095916 1215949448 1975917853 2258191832 2431898896 3951835706 4516383664 7903671412 15807342824 31614685648