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23332320072 = 23321735354001
BaseRepresentation
bin10101101110101101…
…101111001101001000
32020020001212200000200
4111232231233031020
5340241033220242
614415124332200
71454124306525
oct255655571510
966201780020
1023332320072
119993539456
124631b44060
13227ab94c69
1411b4ab614c
159185a504c
hex56eb6f348

23332320072 has 96 divisors (see below), whose sum is σ = 67099645080. Its totient is φ = 7299072000.

The previous prime is 23332320071. The next prime is 23332320107. The reversal of 23332320072 is 27002323332.

23332320072 is a `hidden beast` number, since 2 + 3 + 332 + 320 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19062220356 + 4270099716 = 138066^2 + 65346^2 .

It is not an unprimeable number, because it can be changed into a prime (23332320071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405072 + ... + 459072.

Almost surely, 223332320072 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 23332320072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33549822540).

23332320072 is an abundant number, since it is smaller than the sum of its proper divisors (43767325008).

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

23332320072 is a wasteful number, since it uses less digits than its factorization.

23332320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54383 (or 54376 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The spelling of 23332320072 in words is "twenty-three billion, three hundred thirty-two million, three hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 353 408 612 706 1059 1224 1412 2118 2824 3177 4236 6001 6354 8472 12002 12708 18003 24004 25416 36006 48008 54001 54009 72012 108002 108018 144024 162003 216004 216036 324006 432008 432072 486009 648012 918017 972018 1296024 1836034 1944036 2754051 3672068 3888072 5508102 7344136 8262153 11016204 16524306 19062353 22032408 33048612 38124706 57187059 66097224 76249412 114374118 152498824 171561177 228748236 324060001 343122354 457496472 648120002 686244708 972180003 1296240004 1372489416 1944360006 2592480008 2916540009 3888720012 5833080018 7777440024 11666160036 23332320072