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23434137276 = 22311267323981
BaseRepresentation
bin10101110100110010…
…001000111010111100
32020111011110111222020
4111310302020322330
5340443114343101
614433202520140
71456501610634
oct256462107274
966434414866
1023434137276
119a35a61200
124660066050
132295cc3924
1411c441b6c4
159224b8136
hex574c88ebc

23434137276 has 72 divisors (see below), whose sum is σ = 60194244432. Its totient is φ = 7090406400.

The previous prime is 23434137247. The next prime is 23434137277. The reversal of 23434137276 is 67273143432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434137277) 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, 965206 + ... + 989186.

Almost surely, 223434137276 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 23434137276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30097122216).

23434137276 is an abundant number, since it is smaller than the sum of its proper divisors (36760107156).

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

23434137276 is a wasteful number, since it uses less digits than its factorization.

23434137276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24683 (or 24670 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The spelling of 23434137276 in words is "twenty-three billion, four hundred thirty-four million, one hundred thirty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 673 726 1346 1452 2019 2692 4038 7403 8076 14806 22209 23981 29612 44418 47962 71943 81433 88836 95924 143886 162866 244299 263791 287772 325732 488598 527582 791373 977196 1055164 1582746 2901701 3165492 5803402 8705103 11606804 16139213 17410206 32278426 34820412 48417639 64556852 96835278 177531343 193670556 355062686 532594029 710125372 1065188058 1952844773 2130376116 3905689546 5858534319 7811379092 11717068638 23434137276