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632791677282216 = 2332913937317535893
BaseRepresentation
bin1000111111100001010100101…
…1001001000010011110101000
310001222112021220222220122200020
42033320111023021002132220
51130420124323341012331
610121500252224240440
7250200455444221224
oct21770251311023650
93058467828818606
10632791677282216
11173699496a87511
125ab7b324470120
1321211ccb0c350a
14b2393cdd5b784
154d2556c770c96
hex23f854b2427a8

632791677282216 has 128 divisors (see below), whose sum is σ = 1652722937712000. Its totient is φ = 201649851583488.

The previous prime is 632791677282203. The next prime is 632791677282221. The reversal of 632791677282216 is 612282776197236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27317566 + ... + 44853458.

It is an arithmetic number, because the mean of its divisors is an integer number (12911897950875).

Almost surely, 2632791677282216 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 632791677282216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826361468856000).

632791677282216 is an abundant number, since it is smaller than the sum of its proper divisors (1019931260429784).

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

632791677282216 is a wasteful number, since it uses less digits than its factorization.

632791677282216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536443 (or 17536439 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 69.

The spelling of 632791677282216 in words is "six hundred thirty-two trillion, seven hundred ninety-one billion, six hundred seventy-seven million, two hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 139 174 232 278 348 373 417 556 696 746 834 1112 1119 1492 1668 2238 2984 3336 4031 4476 8062 8952 10817 12093 16124 21634 24186 32248 32451 43268 48372 51847 64902 86536 96744 103694 129804 155541 207388 259608 311082 414776 622164 1244328 1503563 3007126 4510689 6014252 9021378 12028504 17535893 18042756 35071786 36085512 52607679 70143572 105215358 140287144 210430716 420861432 508540897 1017081794 1525622691 2034163588 2437489127 3051245382 4068327176 4874978254 6102490764 6540888089 7312467381 9749956508 12204981528 13081776178 14624934762 19499913016 19622664267 26163552356 29249869524 39245328534 52327104712 58499739048 70687184683 78490657068 141374369366 156981314136 189685754581 212061554049 282748738732 379371509162 424123108098 565497477464 569057263743 758743018324 848246216196 909183444371 1138114527486 1517486036648 1696492432392 1818366888742 2276229054972 2727550333113 3636733777484 4552458109944 5455100666226 7273467554968 10910201332452 21820402664904 26366319886759 52732639773518 79098959660277 105465279547036 158197919320554 210930559094072 316395838641108 632791677282216