Search a number
-
+
23484957345 = 3752837589
BaseRepresentation
bin10101110111110100…
…000000001010100001
32020121201002110000000
4111313310000022201
5341044122113340
614442220050213
71460656562253
oct256764001241
966551073000
1023484957345
119a61712063
124675093969
1322a36a8385
1411cb089cd3
15926ba5d30
hex577d002a1

23484957345 has 64 divisors (see below), whose sum is σ = 42421420800. Its totient is φ = 12479406912.

The previous prime is 23484957299. The next prime is 23484957373. The reversal of 23484957345 is 54375948432.

23484957345 is a `hidden beast` number, since 2 + 3 + 48 + 495 + 73 + 45 = 666.

It is not a de Polignac number, because 23484957345 - 26 = 23484957281 is a prime.

It is a super-3 number, since 3×234849573453 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23484957291 and 23484957300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3090811 + ... + 3098399.

It is an arithmetic number, because the mean of its divisors is an integer number (662834700).

Almost surely, 223484957345 is an apocalyptic number.

It is an amenable number.

23484957345 is a deficient number, since it is larger than the sum of its proper divisors (18936463455).

23484957345 is an frugal number, since it uses more digits than its factorization.

23484957345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7880 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 23484957345 in words is "twenty-three billion, four hundred eighty-four million, nine hundred fifty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 283 405 729 849 1215 1415 2187 2547 3645 4245 7589 7641 10935 12735 22767 22923 37945 38205 68301 68769 113835 114615 204903 206307 341505 343845 614709 618921 1024515 1031535 1844127 2147687 3073545 3094605 5532381 6443061 9220635 10738435 16597143 19329183 27661905 32215305 57987549 82985715 96645915 173962647 289937745 521887941 869813235 1565663823 2609439705 4696991469 7828319115 23484957345