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23641620464 = 2471135953453
BaseRepresentation
bin10110000001001001…
…100111111111110000
32021000121212202101202
4112001021213333300
5341404223323324
614505533550332
71464601313120
oct260111477760
967017782352
1023641620464
11a032095410
1246b96453a8
1322c9c9b047
141203bcac80
159357ee8ae
hex581267ff0

23641620464 has 80 divisors (see below), whose sum is σ = 57268477440. Its totient is φ = 9185191680.

The previous prime is 23641620463. The next prime is 23641620491. The reversal of 23641620464 is 46402614632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23641620463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415562 + ... + 469014.

It is an arithmetic number, because the mean of its divisors is an integer number (715855968).

Almost surely, 223641620464 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 23641620464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28634238720).

23641620464 is an abundant number, since it is smaller than the sum of its proper divisors (33626856976).

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

23641620464 is a wasteful number, since it uses less digits than its factorization.

23641620464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53838 (or 53832 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 23641620464 in words is "twenty-three billion, six hundred forty-one million, six hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 359 616 718 1232 1436 2513 2872 3949 5026 5744 7898 10052 15796 20104 27643 31592 40208 53453 55286 63184 106906 110572 213812 221144 374171 427624 442288 587983 748342 855248 1175966 1496684 2351932 2993368 4115881 4703864 5986736 8231762 9407728 16463524 19189627 32927048 38379254 65854096 76758508 134327389 153517016 211085897 268654778 307034032 422171794 537309556 844343588 1074619112 1477601279 1688687176 2149238224 2955202558 3377374352 5910405116 11820810232 23641620464