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3137445636 = 22313374312641
BaseRepresentation
bin1011101100000001…
…1001111100000100
322002122122202022020
42323000121330010
522411141230021
61235154203140
7140514563553
oct27300317404
98078582266
103137445636
111370008386
127368834b0
133b0009010
1421a983d9a
151356937c6
hexbb019f04

3137445636 has 96 divisors (see below), whose sum is σ = 8285870208. Its totient is φ = 917360640.

The previous prime is 3137445629. The next prime is 3137445637. The reversal of 3137445636 is 6365447313.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3137445637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241876 + ... + 254516.

It is an arithmetic number, because the mean of its divisors is an integer number (86311148).

Almost surely, 23137445636 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 3137445636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142935104).

3137445636 is an abundant number, since it is smaller than the sum of its proper divisors (5148424572).

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

3137445636 is a wasteful number, since it uses less digits than its factorization.

3137445636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741 (or 12739 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 3137445636 is about 56012.9059771050. The cubic root of 3137445636 is about 1463.9471654467.

The spelling of 3137445636 in words is "three billion, one hundred thirty-seven million, four hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 43 52 74 78 86 111 129 148 156 172 222 258 444 481 516 559 962 1118 1443 1591 1677 1924 2236 2886 3182 3354 4773 5772 6364 6708 9546 12641 19092 20683 25282 37923 41366 50564 62049 75846 82732 124098 151692 164333 248196 328666 467717 492999 543563 657332 935434 985998 1087126 1403151 1630689 1870868 1971996 2174252 2806302 3261378 5612604 6080321 6522756 7066319 12160642 14132638 18240963 20111831 21198957 24321284 28265276 36481926 40223662 42397914 60335493 72963852 80447324 84795828 120670986 241341972 261453803 522907606 784361409 1045815212 1568722818 3137445636