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23957940564 = 2236613672
BaseRepresentation
bin10110010100000000…
…010010100101010100
32021211200002111000000
4112110000102211110
5343031213044224
615001153451300
71505462064135
oct262400224524
967750074000
1023957940564
11a1846a6388
124787570b30
13234a6912bc
141233c0bc8c
159534840c9
hex594012954

23957940564 has 126 divisors (see below), whose sum is σ = 64065908634. Its totient is φ = 7833659040.

The previous prime is 23957940529. The next prime is 23957940571. The reversal of 23957940564 is 46504975932.

23957940564 is a `hidden beast` number, since 2 + 3 + 9 + 5 + 79 + 4 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14139112464 + 9818828100 = 118908^2 + 99090^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 23957940564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 65280309 + ... + 65280675.

Almost surely, 223957940564 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 23957940564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032954317).

23957940564 is an abundant number, since it is smaller than the sum of its proper divisors (40107968070).

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

23957940564 is an frugal number, since it uses more digits than its factorization.

23957940564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 23957940564 in words is "twenty-three billion, nine hundred fifty-seven million, nine hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 367 486 549 729 732 734 972 1098 1101 1458 1468 1647 2196 2202 2916 3294 3303 4404 4941 6588 6606 9882 9909 13212 14823 19764 19818 22387 29646 29727 39636 44469 44774 59292 59454 67161 88938 89181 89548 118908 134322 134689 177876 178362 201483 267543 268644 269378 356724 402966 404067 535086 538756 604449 805932 808134 1070172 1208898 1212201 1616268 1813347 2417796 2424402 3626694 3636603 4848804 5440041 7253388 7273206 8216029 10880082 10909809 14546412 16320123 16432058 21760164 21819618 24648087 32640246 32729427 32864116 43639236 49296174 65280492 65458854 73944261 98188281 98592348 130917708 147888522 196376562 221832783 295777044 392753124 443665566 665498349 887331132 1330996698 1996495047 2661993396 3992990094 5989485141 7985980188 11978970282 23957940564