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23654640656 = 24291071313637
BaseRepresentation
bin10110000001111011…
…010010110000010000
32021001112101020202002
4112001323102300100
5341421042000111
614511121013132
71465120061633
oct260173226020
967045336662
1023654640656
11a0394786a9
124701a841a8
1322cc8a94ba
141205819c1a
15936a2263b
hex581ed2c10

23654640656 has 80 divisors (see below), whose sum is σ = 48232895040. Its totient is φ = 11223313920.

The previous prime is 23654640643. The next prime is 23654640661. The reversal of 23654640656 is 65604645632.

It is a happy number.

It is a super-2 number, since 2×236546406562 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23654640656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6502070 + ... + 6505706.

It is an arithmetic number, because the mean of its divisors is an integer number (602911188).

Almost surely, 223654640656 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 23654640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24116447520).

23654640656 is an abundant number, since it is smaller than the sum of its proper divisors (24578254384).

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

23654640656 is a wasteful number, since it uses less digits than its factorization.

23654640656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

The spelling of 23654640656 in words is "twenty-three billion, six hundred fifty-four million, six hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 107 116 131 214 232 262 428 464 524 856 1048 1712 2096 3103 3637 3799 6206 7274 7598 12412 14017 14548 15196 24824 28034 29096 30392 49648 56068 58192 60784 105473 112136 210946 224272 389159 406493 421892 476447 778318 812986 843784 952894 1556636 1625972 1687568 1905788 3113272 3251944 3811576 6226544 6503888 7623152 11285611 13816963 22571222 27633926 45142444 50979829 55267852 90284888 101959658 110535704 180569776 203919316 221071408 407838632 815677264 1478415041 2956830082 5913660164 11827320328 23654640656