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23085401004 = 22332396131459
BaseRepresentation
bin10101011111111111…
…110100001110101100
32012120212020212202000
4111133333310032230
5334234330313004
614334424132300
71445035446051
oct253777641654
965525225660
1023085401004
11987711a506
124583307090
13223b9909c3
14118dd9d028
15901a7dc39
hex55fff43ac

23085401004 has 96 divisors (see below), whose sum is σ = 60240768000. Its totient is φ = 7645192128.

The previous prime is 23085400999. The next prime is 23085401011. The reversal of 23085401004 is 40010458032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15822027 + ... + 15823485.

It is an arithmetic number, because the mean of its divisors is an integer number (627508000).

Almost surely, 223085401004 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 23085401004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30120384000).

23085401004 is an abundant number, since it is smaller than the sum of its proper divisors (37155366996).

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

23085401004 is a wasteful number, since it uses less digits than its factorization.

23085401004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 23085401004 its reverse (40010458032), we get a palindrome (63095859036).

The spelling of 23085401004 in words is "twenty-three billion, eighty-five million, four hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 613 717 956 1226 1434 1459 1839 2151 2452 2868 2918 3678 4302 4377 5517 5836 6453 7356 8604 8754 11034 12906 13131 16551 17508 22068 25812 26262 33102 39393 52524 66204 78786 146507 157572 293014 348701 439521 586028 697402 879042 894367 1046103 1318563 1394804 1758084 1788734 2092206 2637126 2683101 3138309 3577468 3955689 4184412 5274252 5366202 6276618 7911378 8049303 9414927 10732404 12553236 15822756 16098606 18829854 24147909 32197212 37659708 48295818 96591636 213753713 427507426 641261139 855014852 1282522278 1923783417 2565044556 3847566834 5771350251 7695133668 11542700502 23085401004