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4652350968 = 23317103149743
BaseRepresentation
bin1000101010100110…
…10011110111111000
3110000020012220202010
410111103103313320
534012000212333
62045352005520
7223201221306
oct42523236770
913006186663
104652350968
111a78149161
12a9a0908a0
13591b197c5
14321c47276
151c3684563
hex1154d3df8

4652350968 has 128 divisors (see below), whose sum is σ = 12534912000. Its totient is φ = 1433757696.

The previous prime is 4652350949. The next prime is 4652350979. The reversal of 4652350968 is 8690532564.

It is a congruent number.

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, 6261205 + ... + 6261947.

It is an arithmetic number, because the mean of its divisors is an integer number (97929000).

Almost surely, 24652350968 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 4652350968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456000).

4652350968 is an abundant number, since it is smaller than the sum of its proper divisors (7882561032).

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

4652350968 is a wasteful number, since it uses less digits than its factorization.

4652350968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 4652350968 is about 68208.1444403819. The cubic root of 4652350968 is about 1669.3887789136.

The spelling of 4652350968 in words is "four billion, six hundred fifty-two million, three hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 149 204 206 298 309 408 412 447 596 618 743 824 894 1192 1236 1486 1751 1788 2229 2472 2533 2972 3502 3576 4458 5066 5253 5944 7004 7599 8916 10132 10506 12631 14008 15198 15347 17832 20264 21012 25262 30396 30694 37893 42024 46041 50524 60792 61388 75786 76529 92082 101048 110707 122776 151572 153058 184164 221414 229587 260899 303144 306116 332121 368328 442828 459174 521798 612232 664242 782697 885656 918348 1043596 1300993 1328484 1565394 1836696 1882019 2087192 2601986 2656968 3130788 3764038 3902979 5203972 5646057 6261576 7528076 7805958 10407944 11292114 11402821 15056152 15611916 22584228 22805642 31223832 34208463 45168456 45611284 68416926 91222568 136833852 193847957 273667704 387695914 581543871 775391828 1163087742 1550783656 2326175484 4652350968