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3137020866 = 233725032357
BaseRepresentation
bin1011101011111011…
…0010001111000010
322002121212011122000
42322332302033002
522411034131431
61235141124430
7140511144300
oct27276621702
98077764560
103137020866
11136a848231
127366b9716
133acbba885
1421a8b3270
1513560c9e6
hexbafb23c2

3137020866 has 96 divisors (see below), whose sum is σ = 8128874880. Its totient is φ = 894130272.

The previous prime is 3137020847. The next prime is 3137020871. The reversal of 3137020866 is 6680207313.

It is a happy number.

It is a super-4 number, since 4×31370208664 (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3137020866.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329760 + ... + 1332116.

It is an arithmetic number, because the mean of its divisors is an integer number (84675780).

Almost surely, 23137020866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137020866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064437440).

3137020866 is an abundant number, since it is smaller than the sum of its proper divisors (4991854014).

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

3137020866 is a wasteful number, since it uses less digits than its factorization.

3137020866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3137020866 is about 56009.1141333266. The cubic root of 3137020866 is about 1463.8810958926.

The spelling of 3137020866 in words is "three billion, one hundred thirty-seven million, twenty thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 503 882 1006 1323 1509 2357 2646 3018 3521 4527 4714 7042 7071 9054 10563 13581 14142 16499 21126 21213 24647 27162 31689 32998 42426 49294 49497 63378 63639 73941 95067 98994 115493 127278 147882 148491 190134 221823 230986 296982 346479 443646 445473 665469 692958 890946 1039437 1185571 1330938 2078874 2371142 3118311 3556713 6236622 7113426 8298997 10670139 16597994 21340278 24896991 32010417 49793982 58092979 64020834 74690973 116185958 149381946 174278937 224072919 348557874 448145838 522836811 1045673622 1568510433 3137020866