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31561533540 = 22325374738969
BaseRepresentation
bin11101011001001101…
…101100100001100100
310000110120121000200200
4131121031230201210
51004114223033130
622255453110500
72165060415525
oct353115544144
9100416530620
1031561533540
1112426732319
126149a88430
132c8ca50344
1417559a884c
15c4ac7a760
hex75936c864

31561533540 has 72 divisors (see below), whose sum is σ = 98324149560. Its totient is φ = 8188936704.

The previous prime is 31561533539. The next prime is 31561533559. The reversal of 31561533540 is 4533516513.

31561533540 is a `hidden beast` number, since 3 + 1 + 5 + 61 + 53 + 3 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2916648036 + 28644885504 = 54006^2 + 169248^2 .

It is a super-2 number, since 2×315615335402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31561533495 and 31561533504.

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 23 ways as a sum of consecutive naturals, for example, 2362825 + ... + 2376144.

Almost surely, 231561533540 is an apocalyptic number.

31561533540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31561533540 is an abundant number, since it is smaller than the sum of its proper divisors (66762616020).

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

31561533540 is a wasteful number, since it uses less digits than its factorization.

31561533540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739021 (or 4739016 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 31561533540 in words is "thirty-one billion, five hundred sixty-one million, five hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 4738969 9477938 14216907 18955876 23694845 28433814 42650721 47389690 56867628 71084535 85301442 94779380 142169070 170602884 175341853 213253605 284338140 350683706 426507210 526025559 701367412 853014420 876709265 1052051118 1578076677 1753418530 2104102236 2630127795 3156153354 3506837060 5260255590 6312306708 7890383385 10520511180 15780766770 31561533540