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3137869290 = 235316750359
BaseRepresentation
bin1011101100001000…
…0001010111101010
322002200110021110010
42323002001113222
522411243304130
61235211232350
7140521306653
oct27302012752
98080407403
103137869290
111370277706
12736a486b6
133b0126aba
1421aa5452a
151357290b0
hexbb0815ea

3137869290 has 64 divisors (see below), whose sum is σ = 7890001920. Its totient is φ = 797670720.

The previous prime is 3137869289. The next prime is 3137869291. The reversal of 3137869290 is 929687313.

It is an interprime number because it is at equal distance from previous prime (3137869289) and next prime (3137869291).

It is a super-2 number, since 2×31378692902 = 19692447362250208200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3137869291) 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, 37131 + ... + 87489.

It is an arithmetic number, because the mean of its divisors is an integer number (123281280).

Almost surely, 23137869290 is an apocalyptic number.

3137869290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137869290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945000960).

3137869290 is an abundant number, since it is smaller than the sum of its proper divisors (4752132630).

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

3137869290 is a wasteful number, since it uses less digits than its factorization.

3137869290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50467.

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3137869290 is about 56016.6876028921. The cubic root of 3137869290 is about 1464.0130554765.

The spelling of 3137869290 in words is "three billion, one hundred thirty-seven million, eight hundred sixty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 93 134 155 186 201 310 335 402 465 670 930 1005 2010 2077 4154 6231 10385 12462 20770 31155 50359 62310 100718 151077 251795 302154 503590 755385 1510770 1561129 3122258 3374053 4683387 6748106 7805645 9366774 10122159 15611290 16870265 20244318 23416935 33740530 46833870 50610795 101221590 104595643 209191286 313786929 522978215 627573858 1045956430 1568934645 3137869290