Search a number
-
+
23384735748 = 22331119684121
BaseRepresentation
bin10101110001110101…
…101100000000000100
32020100201111122211000
4111301311230000010
5340342443020443
614424240013300
71455331655103
oct256165540004
966321448730
1023384735748
119a1008a0a0
124647601230
1322889b7a5a
1411bba3c03a
1591ceaa8d3
hex571d6c004

23384735748 has 48 divisors (see below), whose sum is σ = 66138649920. Its totient is φ = 7086283200.

The previous prime is 23384735719. The next prime is 23384735749. The reversal of 23384735748 is 84753748332.

23384735748 is a `hidden beast` number, since 23 + 3 + 8 + 47 + 3 + 574 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23384735694 and 23384735703.

It is not an unprimeable number, because it can be changed into a prime (23384735749) 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, 9840873 + ... + 9843248.

It is an arithmetic number, because the mean of its divisors is an integer number (1377888540).

Almost surely, 223384735748 is an apocalyptic number.

It is an amenable number.

23384735748 is an abundant number, since it is smaller than the sum of its proper divisors (42753914172).

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

23384735748 is a wasteful number, since it uses less digits than its factorization.

23384735748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19684145 (or 19684137 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 23384735748 in words is "twenty-three billion, three hundred eighty-four million, seven hundred thirty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 19684121 39368242 59052363 78736484 118104726 177157089 216525331 236209452 354314178 433050662 531471267 649575993 708628356 866101324 1062942534 1299151986 1948727979 2125885068 2598303972 3897455958 5846183937 7794911916 11692367874 23384735748