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23454645432 = 2333737969691
BaseRepresentation
bin10101110110000000…
…010111110010111000
32020112121001102212120
4111312000113302320
5341013342123212
614435214241240
71460141124321
oct256600276270
966477042776
1023454645432
119a46599299
124666ab6220
13229a32442a
1411c7039448
159241b988c
hex576017cb8

23454645432 has 64 divisors (see below), whose sum is σ = 60381148800. Its totient is φ = 7586732160.

The previous prime is 23454645377. The next prime is 23454645457.

It is a happy number.

23454645432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301707 + ... + 371397.

It is an arithmetic number, because the mean of its divisors is an integer number (943455450).

Almost surely, 223454645432 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 23454645432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30190574400).

23454645432 is an abundant number, since it is smaller than the sum of its proper divisors (36926503368).

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

23454645432 is a wasteful number, since it uses less digits than its factorization.

23454645432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70116 (or 70112 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The spelling of 23454645432 in words is "twenty-three billion, four hundred fifty-four million, six hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 379 444 758 888 1137 1516 2274 3032 4548 9096 14023 28046 42069 56092 69691 84138 112184 139382 168276 209073 278764 336552 418146 557528 836292 1672584 2578567 5157134 7735701 10314268 15471402 20628536 26412889 30942804 52825778 61885608 79238667 105651556 158477334 211303112 316954668 633909336 977276893 1954553786 2931830679 3909107572 5863661358 7818215144 11727322716 23454645432