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4640346564 = 2237372396247
BaseRepresentation
bin1000101001001011…
…00001000111000100
3102222101122000210120
410110211201013010
534000412042224
62044242421540
7222664203120
oct42445410704
912871560716
104640346564
111a7139a067
12a960618b0
1358c4a57c9
14320400580
151c25b2779
hex1149611c4

4640346564 has 96 divisors (see below), whose sum is σ = 12763914240. Its totient is φ = 1284377472.

The previous prime is 4640346563. The next prime is 4640346617. The reversal of 4640346564 is 4656430464.

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 (4640346563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739689 + ... + 745935.

It is an arithmetic number, because the mean of its divisors is an integer number (132957440).

Almost surely, 24640346564 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 4640346564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381957120).

4640346564 is an abundant number, since it is smaller than the sum of its proper divisors (8123567676).

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

4640346564 is a wasteful number, since it uses less digits than its factorization.

4640346564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The square root of 4640346564 is about 68120.0892835586. The cubic root of 4640346564 is about 1667.9517077381.

The spelling of 4640346564 in words is "four billion, six hundred forty million, three hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 239 259 444 478 518 717 777 956 1036 1434 1554 1673 2868 3108 3346 5019 6247 6692 8843 10038 12494 17686 18741 20076 24988 26529 35372 37482 43729 53058 61901 74964 87458 106116 123802 131187 174916 185703 231139 247604 262374 371406 462278 524748 693417 742812 924556 1386834 1493033 1617973 2773668 2986066 3235946 4479099 4853919 5972132 6471892 8958198 9707838 10451231 17916396 19415676 20902462 31353693 41804924 55242221 62707386 110484442 125414772 165726663 220968884 331453326 386695547 662906652 773391094 1160086641 1546782188 2320173282 4640346564