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7693055968 = 2513172937511
BaseRepresentation
bin1110010101000101…
…01011011111100000
3201212010211201211211
413022202223133200
5111223410242333
63311212515504
7361432616413
oct71242533740
921763751754
107693055968
1132985908a4
1215a847bb94
13957a83730
1452da07b7a
153005b8ecd
hex1ca8ab7e0

7693055968 has 96 divisors (see below), whose sum is σ = 17866215360. Its totient is φ = 3226460160.

The previous prime is 7693055957. The next prime is 7693055969. The reversal of 7693055968 is 8695503967.

It is a super-2 number, since 2×76930559682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7693055969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 186333 + ... + 223843.

It is an arithmetic number, because the mean of its divisors is an integer number (186106410).

Almost surely, 27693055968 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 7693055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8933107680).

7693055968 is an abundant number, since it is smaller than the sum of its proper divisors (10173159392).

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

7693055968 is a wasteful number, since it uses less digits than its factorization.

7693055968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37580 (or 37572 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 58.

The square root of 7693055968 is about 87710.0676547453. The cubic root of 7693055968 is about 1974.0870399228.

The spelling of 7693055968 in words is "seven billion, six hundred ninety-three million, fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 68 104 116 136 208 221 232 272 377 416 442 464 493 544 754 884 928 986 1508 1768 1972 3016 3536 3944 6032 6409 7072 7888 12064 12818 15776 25636 37511 51272 75022 102544 150044 205088 300088 487643 600176 637687 975286 1087819 1200352 1275374 1950572 2175638 2550748 3901144 4351276 5101496 7802288 8289931 8702552 10202992 14141647 15604576 16579862 17405104 18492923 20405984 28283294 33159724 34810208 36985846 56566588 66319448 73971692 113133176 132638896 147943384 226266352 240407999 265277792 295886768 452532704 480815998 591773536 961631996 1923263992 3846527984 7693055968