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634432232631652 = 2271319445120609747
BaseRepresentation
bin1001000001000000110100001…
…1110111000010110101100100
310002012100010111010020100100121
42100100031003313002311210
51131124014203023203102
610125154051043051324
7250430134104500530
oct22020150367026544
93065303433210317
10634432232631652
11174171220785214
125b1a5273070b44
132130091a163130
14b294980898bc0
154d53089489b37
hex2410343dc2d64

634432232631652 has 96 divisors (see below), whose sum is σ = 1438712098145280. Its totient is φ = 237721054262400.

The previous prime is 634432232631647. The next prime is 634432232631713. The reversal of 634432232631652 is 256136232234436.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 634432232631652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20478243 + ... + 41087989.

It is an arithmetic number, because the mean of its divisors is an integer number (14986584355680).

Almost surely, 2634432232631652 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 634432232631652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719356049072640).

634432232631652 is an abundant number, since it is smaller than the sum of its proper divisors (804279865513628).

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

634432232631652 is a wasteful number, since it uses less digits than its factorization.

634432232631652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20614241 (or 20614239 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 52.

The spelling of 634432232631652 in words is "six hundred thirty-four trillion, four hundred thirty-two billion, two hundred thirty-two million, six hundred thirty-one thousand, six hundred fifty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 3458 4451 6916 8902 17804 31157 57863 62314 84569 115726 124628 169138 231452 338276 405041 591983 810082 1099397 1183966 1620164 2198794 2367932 4397588 7695779 15391558 20609747 30783116 41219494 82438988 144268229 267926711 288536458 391585193 535853422 577072916 783170386 1071706844 1566340772 1875486977 2741096351 3750973954 5090607509 5482192702 7501947908 10181215018 10964385404 20362430036 35634252563 71268505126 91733983897 142537010252 183467967794 366935935588 642137887279 1192541790661 1284275774558 1742945694043 2385083581322 2568551549116 3485891388086 4770167162644 6971782776172 8347792534627 12200619858301 16695585069254 22658294022559 24401239716602 33391170138508 45316588045118 48802479433204 90633176090236 158608058157913 317216116315826 634432232631652