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3137286480 = 243523568349
BaseRepresentation
bin1011101011111111…
…0011000101010000
322002122100122222120
42322333303011100
522411121131410
61235150534240
7140513331546
oct27277630520
98078318876
103137286480
11136aa09849
12736807380
133acc81743
1421a941d96
15135661570
hexbaff3150

3137286480 has 80 divisors (see below), whose sum is σ = 10148457600. Its totient is φ = 800233984.

The previous prime is 3137286463. The next prime is 3137286487. The reversal of 3137286480 is 846827313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137286487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278655 + ... + 289694.

It is an arithmetic number, because the mean of its divisors is an integer number (126855720).

Almost surely, 23137286480 is an apocalyptic number.

3137286480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3137286480 is an abundant number, since it is smaller than the sum of its proper divisors (7011171120).

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

3137286480 is a wasteful number, since it uses less digits than its factorization.

3137286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568388 (or 568382 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3137286480 is about 56011.4852507948. The cubic root of 3137286480 is about 1463.9224107108.

The spelling of 3137286480 in words is "three billion, one hundred thirty-seven million, two hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 568349 1136698 1705047 2273396 2841745 3410094 4546792 5683490 6820188 8525235 9093584 11366980 13072027 13640376 17050470 22733960 26144054 27280752 34100940 39216081 45467920 52288108 65360135 68201880 78432162 104576216 130720270 136403760 156864324 196080405 209152432 261440540 313728648 392160810 522881080 627457296 784321620 1045762160 1568643240 3137286480