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23405065008 = 24313199188483
BaseRepresentation
bin10101110011000011…
…001111001100110000
32020102010202111022120
4111303003033030300
5340413144040013
614430243434240
71455666525063
oct256303171460
966363674276
1023405065008
119a20604836
124652385980
13228cc84cc0
1411c06108da
1591eb74123
hex5730cf330

23405065008 has 80 divisors (see below), whose sum is σ = 65441644800. Its totient is φ = 7165331712.

The previous prime is 23405064961. The next prime is 23405065009. The reversal of 23405065008 is 80056050432.

It is a self number, because there is not a number n which added to its sum of digits gives 23405065008.

It is not an unprimeable number, because it can be changed into a prime (23405065009) 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 15 ways as a sum of consecutive naturals, for example, 29935 + ... + 218417.

It is an arithmetic number, because the mean of its divisors is an integer number (818020560).

Almost surely, 223405065008 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 23405065008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32720822400).

23405065008 is an abundant number, since it is smaller than the sum of its proper divisors (42036579792).

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

23405065008 is a wasteful number, since it uses less digits than its factorization.

23405065008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188706 (or 188700 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 23405065008 in words is "twenty-three billion, four hundred five million, sixty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 199 208 312 398 597 624 796 1194 1592 2388 2587 3184 4776 5174 7761 9552 10348 15522 20696 31044 41392 62088 124176 188483 376966 565449 753932 1130898 1507864 2261796 2450279 3015728 4523592 4900558 7350837 9047184 9801116 14701674 19602232 29403348 37508117 39204464 58806696 75016234 112524351 117613392 150032468 225048702 300064936 450097404 487605521 600129872 900194808 975211042 1462816563 1800389616 1950422084 2925633126 3900844168 5851266252 7801688336 11702532504 23405065008