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12870565680 = 2435761125591
BaseRepresentation
bin10111111110010010…
…10011111100110000
31020012222020110221210
423333021103330300
5202324331100210
65525044520120
7633642001050
oct137711237460
936188213853
1012870565680
11550510a545
1225b23b0040
1312a162384b
148a14b5560
15504dd5e20
hex2ff253f30

12870565680 has 160 divisors (see below), whose sum is σ = 46346462208. Its totient is φ = 2893593600.

The previous prime is 12870565663. The next prime is 12870565753. The reversal of 12870565680 is 8656507821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39685 + ... + 165275.

Almost surely, 212870565680 is an apocalyptic number.

12870565680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12870565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173231104).

12870565680 is an abundant number, since it is smaller than the sum of its proper divisors (33475896528).

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

12870565680 is a wasteful number, since it uses less digits than its factorization.

12870565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125675 (or 125669 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 12870565680 in words is "twelve billion, eight hundred seventy million, five hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480 125591 251182 376773 502364 627955 753546 879137 1004728 1255910 1507092 1758274 1883865 2009456 2511820 2637411 3014184 3516548 3767730 4395685 5023640 5274822 6028368 7033096 7535460 7661051 8791370 10047280 10549644 13187055 14066192 15070920 15322102 17582740 21099288 22983153 26374110 30141840 30644204 35165480 38305255 42198576 45966306 52748220 53627357 61288408 70330960 76610510 91932612 105496440 107254714 114915765 122576816 153221020 160882071 183865224 210992880 214509428 229831530 268136785 306442040 321764142 367730448 429018856 459663060 536273570 612884080 643528284 804410355 858037712 919326120 1072547140 1287056568 1608820710 1838652240 2145094280 2574113136 3217641420 4290188560 6435282840 12870565680