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7997011008 = 26377381509
BaseRepresentation
bin1110111001010100…
…01011010001000000
3202122022210020202220
413130222023101000
5112334213323013
63401311411040
7402113320620
oct73452132100
922568706686
107997011008
113434116808
121672223a80
139a5a3779c
1455c12a880
1531c109b23
hex1dca8b440

7997011008 has 112 divisors (see below), whose sum is σ = 24512991360. Its totient is φ = 2253533184.

The previous prime is 7997011003. The next prime is 7997011039. The reversal of 7997011008 is 8001107997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7997011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57358 + ... + 138866.

Almost surely, 27997011008 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 7997011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256495680).

7997011008 is an abundant number, since it is smaller than the sum of its proper divisors (16515980352).

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

7997011008 is a wasteful number, since it uses less digits than its factorization.

7997011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81604 (or 81594 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 42.

The square root of 7997011008 is about 89426.0085657411. The cubic root of 7997011008 is about 1999.7508863058.

The spelling of 7997011008 in words is "seven billion, nine hundred ninety-seven million, eleven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 49056 81509 98112 163018 244527 326036 489054 570563 652072 978108 1141126 1304144 1711689 1956216 2282252 2608288 3423378 3912432 4564504 5216576 5950157 6846756 7824864 9129008 11900314 13693512 15649728 17850471 18258016 23800628 27387024 35700942 36516032 41651099 47601256 54774048 71401884 83302198 95202512 109548096 124953297 142803768 166604396 190405024 249906594 285607536 333208792 380810048 499813188 571215072 666417584 999626376 1142430144 1332835168 1999252752 2665670336 3998505504 7997011008