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23409690432 = 263376015483
BaseRepresentation
bin10101110011010100…
…111000011101000000
32020102110110111012120
4111303110320131000
5340420340043212
614430530524240
71456054041222
oct256324703500
966373414176
1023409690432
119a231839a7
124653a36680
132290c1443b
1411c1096412
1592028988c
hex573538740

23409690432 has 112 divisors (see below), whose sum is σ = 63729607872. Its totient is φ = 7578316800.

The previous prime is 23409690431. The next prime is 23409690433.

23409690432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23409690431) and next prime (23409690433).

It is a super-2 number, since 2×234096904322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23409690431) 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, 4266763 + ... + 4272245.

It is an arithmetic number, because the mean of its divisors is an integer number (569014356).

Almost surely, 223409690432 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 23409690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31864803936).

23409690432 is an abundant number, since it is smaller than the sum of its proper divisors (40319917440).

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

23409690432 is a wasteful number, since it uses less digits than its factorization.

23409690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 23409690432 in words is "twenty-three billion, four hundred nine million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 601 888 1184 1202 1776 1803 2368 2404 3552 3606 4808 5483 7104 7212 9616 10966 14424 16449 19232 21932 22237 28848 32898 38464 43864 44474 57696 65796 66711 87728 88948 115392 131592 133422 175456 177896 202871 263184 266844 350912 355792 405742 526368 533688 608613 711584 811484 1052736 1067376 1217226 1423168 1622968 2134752 2434452 3245936 3295283 4269504 4868904 6491872 6590566 9737808 9885849 12983744 13181132 19475616 19771698 26362264 38951232 39543396 52724528 79086792 105449056 121925471 158173584 210898112 243850942 316347168 365776413 487701884 632694336 731552826 975403768 1463105652 1950807536 2926211304 3901615072 5852422608 7803230144 11704845216 23409690432