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6686054640 = 2432559157393
BaseRepresentation
bin1100011101000010…
…10001100011110000
3122020221222202201100
412032201101203300
5102143112222030
63023241204400
7324454345446
oct61641214360
918227882640
106686054640
1129211158a1
121367190700
13827264865
14475d96b96
15291ea3360
hex18e8518f0

6686054640 has 120 divisors (see below), whose sum is σ = 22834721520. Its totient is φ = 1752717312.

The previous prime is 6686054587. The next prime is 6686054657. The reversal of 6686054640 is 464506866.

6686054640 is a `hidden beast` number, since 6 + 6 + 8 + 60 + 546 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36217 + ... + 121176.

It is an arithmetic number, because the mean of its divisors is an integer number (190289346).

Almost surely, 26686054640 is an apocalyptic number.

6686054640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6686054640 is an abundant number, since it is smaller than the sum of its proper divisors (16148666880).

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

6686054640 is a wasteful number, since it uses less digits than its factorization.

6686054640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157471 (or 157462 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6686054640 is about 81768.2985025370. The cubic root of 6686054640 is about 1883.8947701108.

The spelling of 6686054640 in words is "six billion, six hundred eighty-six million, fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480 157393 314786 472179 629572 786965 944358 1259144 1416537 1573930 1888716 2360895 2518288 2833074 3147860 3777432 4721790 5666148 6295720 7082685 7554864 9286187 9443580 11332296 12591440 14165370 18572374 18887160 22664592 27858561 28330740 37144748 37774320 46430935 55717122 56661480 74289496 83575683 92861870 111434244 113322960 139292805 148578992 167151366 185723740 222868488 278585610 334302732 371447480 417878415 445736976 557171220 668605464 742894960 835756830 1114342440 1337210928 1671513660 2228684880 3343027320 6686054640