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686555136 = 2183397
BaseRepresentation
bin101000111011000…
…000000000000000
31202211212121121000
4220323000000000
52401224231021
6152043132000
723004423321
oct5073000000
91684777530
10686555136
113225a7043
12171b14000
13ac312857
1467278448
1540418b26
hex28ec0000

686555136 has 152 divisors (see below), whose sum is σ = 2055205040. Its totient is φ = 226492416.

The previous prime is 686555119. The next prime is 686555141. The reversal of 686555136 is 631555686.

686555136 is a `hidden beast` number, since 6 + 8 + 65 + 551 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 686555091 and 686555100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7077840 + ... + 7077936.

Almost surely, 2686555136 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 686555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027602520).

686555136 is an abundant number, since it is smaller than the sum of its proper divisors (1368649904).

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

686555136 is an frugal number, since it uses more digits than its factorization.

686555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 686555136 is about 26202.1971597803. The cubic root of 686555136 is about 882.1825713038.

It can be divided in two parts, 6865 and 55136, that added together give a square (62001 = 2492).

The spelling of 686555136 in words is "six hundred eighty-six million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 256 288 291 384 388 432 512 576 582 768 776 864 873 1024 1152 1164 1536 1552 1728 1746 2048 2304 2328 2619 3072 3104 3456 3492 4096 4608 4656 5238 6144 6208 6912 6984 8192 9216 9312 10476 12288 12416 13824 13968 16384 18432 18624 20952 24576 24832 27648 27936 32768 36864 37248 41904 49152 49664 55296 55872 65536 73728 74496 83808 98304 99328 110592 111744 131072 147456 148992 167616 196608 198656 221184 223488 262144 294912 297984 335232 393216 397312 442368 446976 589824 595968 670464 786432 794624 884736 893952 1179648 1191936 1340928 1589248 1769472 1787904 2359296 2383872 2681856 3178496 3538944 3575808 4767744 5363712 6356992 7077888 7151616 9535488 10727424 12713984 14303232 19070976 21454848 25427968 28606464 38141952 42909696 57212928 76283904 85819392 114425856 171638784 228851712 343277568 686555136