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1401216696 = 2332112696577
BaseRepresentation
bin101001110000100…
…1101111010111000
310121122122011221200
41103201031322320
510332202413241
6351012534200
746503100605
oct12341157270
93548564850
101401216696
11659a4a930
12331321360
131943b6509
14d414b6ac
15830354b6
hex5384deb8

1401216696 has 96 divisors (see below), whose sum is σ = 4155980400. Its totient is φ = 422968320.

The previous prime is 1401216689. The next prime is 1401216757. The reversal of 1401216696 is 6966121041.

1401216696 is a `hidden beast` number, since 1 + 401 + 2 + 166 + 96 = 666.

1401216696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1401216696.

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, 209760 + ... + 216336.

Almost surely, 21401216696 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 1401216696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077990200).

1401216696 is an abundant number, since it is smaller than the sum of its proper divisors (2754763704).

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

1401216696 is a wasteful number, since it uses less digits than its factorization.

1401216696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1401216696 is about 37432.8291209735. The cubic root of 1401216696 is about 1119.0129207132.

The spelling of 1401216696 in words is "one billion, four hundred one million, two hundred sixteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 269 396 538 792 807 1076 1614 2152 2421 2959 3228 4842 5918 6456 6577 8877 9684 11836 13154 17754 19368 19731 23672 26308 26631 35508 39462 52616 53262 59193 71016 72347 78924 106524 118386 144694 157848 213048 217041 236772 289388 434082 473544 578776 651123 868164 1302246 1736328 1769213 2604492 3538426 5208984 5307639 7076852 10615278 14153704 15922917 19461343 21230556 31845834 38922686 42461112 58384029 63691668 77845372 116768058 127383336 155690744 175152087 233536116 350304174 467072232 700608348 1401216696