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642755685376 = 2107412187077
BaseRepresentation
bin10010101101001110011…
…10010110110000000000
32021110001202012220200001
421112213032112300000
541012330423413001
61211140005005344
764303041115660
oct11264716266000
92243052186601
10642755685376
11228655911872
12a46a16b3854
13487c48c261c
142317681c1a0
1511abd739001
hex95a7396c00

642755685376 has 88 divisors (see below), whose sum is σ = 1504254751776. Its totient is φ = 268747898880.

The previous prime is 642755685353. The next prime is 642755685479. The reversal of 642755685376 is 673586557246.

It is a super-2 number, since 2×6427556853762 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799651 + ... + 1387426.

Almost surely, 2642755685376 is an apocalyptic number.

It is an amenable number.

642755685376 is an abundant number, since it is smaller than the sum of its proper divisors (861499066400).

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

642755685376 is a wasteful number, since it uses less digits than its factorization.

642755685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187145 (or 2187127 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 64.

The spelling of 642755685376 in words is "six hundred forty-two billion, seven hundred fifty-five million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 656 896 1024 1148 1312 1792 2296 2624 3584 4592 5248 7168 9184 10496 18368 20992 36736 41984 73472 146944 293888 2187077 4374154 8748308 15309539 17496616 30619078 34993232 61238156 69986464 89670157 122476312 139972928 179340314 244952624 279945856 358680628 489905248 559891712 627691099 717361256 979810496 1119783424 1255382198 1434722512 1959620992 2239566848 2510764396 2869445024 3919241984 5021528792 5738890048 7838483968 10043057584 11477780096 15676967936 20086115168 22955560192 40172230336 45911120384 80344460672 91822240768 160688921344 321377842688 642755685376