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23505718068 = 22327294714071
BaseRepresentation
bin10101111001000011…
…001100101100110100
32020200011011012100200
4111321003030230310
5341114430434233
614444241040500
71461331210200
oct257103145464
966604135320
1023505718068
119a72401988
124680026130
1322a7a96b21
1411cdb31b00
15928907313
hex5790ccb34

23505718068 has 108 divisors (see below), whose sum is σ = 69195907872. Its totient is φ = 6708350880.

The previous prime is 23505718063. The next prime is 23505718073. The reversal of 23505718068 is 86081750532.

23505718068 is a `hidden beast` number, since 2 + 3 + 505 + 7 + 1 + 80 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (23505718063) and next prime (23505718073).

It is a hoax number, since the sum of its digits (45) 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 (23505718063) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1663473 + ... + 1677543.

Almost surely, 223505718068 is an apocalyptic number.

23505718068 is a gapful number since it is divisible by the number (28) 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 23505718068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34597953936).

23505718068 is an abundant number, since it is smaller than the sum of its proper divisors (45690189804).

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

23505718068 is a wasteful number, since it uses less digits than its factorization.

23505718068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 23505718068 in words is "twenty-three billion, five hundred five million, seven hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 947 1764 1894 2841 3788 5682 6629 8523 11364 13258 14071 17046 19887 26516 28142 34092 39774 42213 46403 56284 59661 79548 84426 92806 98497 119322 126639 139209 168852 185612 196994 238644 253278 278418 295491 393988 417627 506556 556836 590982 689479 835254 886473 1181964 1378958 1670508 1772946 2068437 2757916 3545892 4136874 6205311 8273748 12410622 13325237 24821244 26650474 39975711 53300948 79951422 93276659 119927133 159902844 186553318 239854266 279829977 373106636 479708532 559659954 652936613 839489931 1119319908 1305873226 1678979862 1958809839 2611746452 3357959724 3917619678 5876429517 7835239356 11752859034 23505718068