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31677809040 = 2432567656671
BaseRepresentation
bin11101100000001001…
…010000000110010000
310000202200101102200200
4131200021100012100
51004334004342130
622315205215200
72201001635253
oct354011200620
9100680342620
1031677809040
111248632a879
126180a01500
132caab71c07
1417671d509a
15c56097760
hex760250190

31677809040 has 120 divisors (see below), whose sum is σ = 107972636928. Its totient is φ = 8321322240.

The previous prime is 31677808999. The next prime is 31677809041. The reversal of 31677809040 is 4090877613.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31677809041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280096 + ... + 376575.

Almost surely, 231677809040 is an apocalyptic number.

31677809040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31677809040 is an abundant number, since it is smaller than the sum of its proper divisors (76294827888).

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

31677809040 is a wasteful number, since it uses less digits than its factorization.

31677809040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656757 (or 656748 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 31677809040 in words is "thirty-one billion, six hundred seventy-seven million, eight hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 12060 16080 24120 48240 656671 1313342 1970013 2626684 3283355 3940026 5253368 5910039 6566710 7880052 9850065 10506736 11820078 13133420 15760104 19700130 23640156 26266840 29550195 31520208 39400260 43996957 47280312 52533680 59100390 78800520 87993914 94560624 118200780 131990871 157601040 175987828 219984785 236401560 263981742 351975656 395972613 439969570 472803120 527963484 659954355 703951312 791945226 879939140 1055926968 1319908710 1583890452 1759878280 1979863065 2111853936 2639817420 3167780904 3519756560 3959726130 5279634840 6335561808 7919452260 10559269680 15838904520 31677809040