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23253416420 = 22513216674127
BaseRepresentation
bin10101101010000000…
…101111100111100100
32020000120101221120012
4111222000233213210
5340110333311140
614403225225352
71452145530653
oct255200574744
966016357505
1023253416420
119952a46a23
12460b632258
132267729900
1411a841719a
159116bb265
hex56a02f9e4

23253416420 has 72 divisors (see below), whose sum is σ = 52921983744. Its totient is φ = 8578647168.

The previous prime is 23253416413. The next prime is 23253416447. The reversal of 23253416420 is 2461435232.

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 23 ways as a sum of consecutive naturals, for example, 5632397 + ... + 5636523.

It is an arithmetic number, because the mean of its divisors is an integer number (735027552).

Almost surely, 223253416420 is an apocalyptic number.

23253416420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23253416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460991872).

23253416420 is an abundant number, since it is smaller than the sum of its proper divisors (29668567324).

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

23253416420 is a wasteful number, since it uses less digits than its factorization.

23253416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 23253416420 in words is "twenty-three billion, two hundred fifty-three million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1667 1690 3334 3380 4127 6668 8254 8335 16508 16670 20635 21671 33340 41270 43342 53651 82540 86684 107302 108355 214604 216710 268255 281723 433420 536510 563446 697463 1073020 1126892 1394926 1408615 2789852 2817230 3487315 5634460 6879709 6974630 13759418 13949260 27518836 34398545 68797090 89436217 137594180 178872434 357744868 447181085 894362170 1162670821 1788724340 2325341642 4650683284 5813354105 11626708210 23253416420