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23072303264 = 254122291873
BaseRepresentation
bin10101011111001101…
…110110100010100000
32012112221121110000112
4111133031312202200
5334223002201024
614333235310452
71444516225163
oct253715664240
965487543015
1023072303264
11986a793a2a
12457aa4b428
13223905616a
14118c34dada
1590084300e
hex55f3768a0

23072303264 has 72 divisors (see below), whose sum is σ = 46786789980. Its totient is φ = 11199651840.

The previous prime is 23072303251. The next prime is 23072303279. The reversal of 23072303264 is 46230327032.

It can be written as a sum of positive squares in 6 ways, for example, as 664608400 + 22407694864 = 25780^2 + 149692^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23072303264.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12317432 + ... + 12319304.

Almost surely, 223072303264 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 23072303264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393394990).

23072303264 is an abundant number, since it is smaller than the sum of its proper divisors (23714486716).

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

23072303264 is a wasteful number, since it uses less digits than its factorization.

23072303264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 32.

The spelling of 23072303264 in words is "twenty-three billion, seventy-two million, three hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 229 328 458 656 916 1312 1681 1832 1873 3362 3664 3746 6724 7328 7492 9389 13448 14984 18778 26896 29968 37556 53792 59936 75112 76793 150224 153586 300448 307172 384949 428917 614344 769898 857834 1228688 1539796 1715668 2457376 3079592 3148513 3431336 6159184 6297026 6862672 12318368 12594052 13725344 17585597 25188104 35171194 50376208 70342388 100752416 140684776 281369552 562739104 721009477 1442018954 2884037908 5768075816 11536151632 23072303264