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23152104504 = 23331912834397
BaseRepresentation
bin10101100011111110…
…010001010000111000
32012202111202202202000
4111203332101100320
5334403414321004
614345205541000
71446505432644
oct254376212070
965674682660
1023152104504
119900839871
1245a1714760
13224c746c29
141198ba3c24
15907857c39
hex563f91438

23152104504 has 128 divisors (see below), whose sum is σ = 67764384000. Its totient is φ = 7303830912.

The previous prime is 23152104491. The next prime is 23152104529. The reversal of 23152104504 is 40540125132.

23152104504 is a `hidden beast` number, since 2 + 3 + 1 + 52 + 104 + 504 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5263234 + ... + 5267630.

It is an arithmetic number, because the mean of its divisors is an integer number (529409250).

Almost surely, 223152104504 is an apocalyptic number.

23152104504 is a gapful number since it is divisible by the number (24) 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 23152104504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33882192000).

23152104504 is an abundant number, since it is smaller than the sum of its proper divisors (44612279496).

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

23152104504 is a wasteful number, since it uses less digits than its factorization.

23152104504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 23152104504 its reverse (40540125132), we get a palindrome (63692229636).

The spelling of 23152104504 in words is "twenty-three billion, one hundred fifty-two million, one hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1283 1368 2052 2566 3849 4104 4397 5132 7698 8794 10264 11547 13191 15396 17588 23094 24377 26382 30792 34641 35176 39573 46188 48754 52764 69282 73131 79146 83543 92376 97508 105528 118719 138564 146262 158292 167086 195016 219393 237438 250629 277128 292524 316584 334172 438786 474876 501258 585048 658179 668344 751887 877572 949752 1002516 1316358 1503774 1755144 2005032 2255661 2632716 3007548 4511322 5265432 5641351 6015096 9022644 11282702 16924053 18045288 22565404 33848106 45130808 50772159 67696212 101544318 107185669 135392424 152316477 203088636 214371338 304632954 321557007 406177272 428742676 609265908 643114014 857485352 964671021 1218531816 1286228028 1929342042 2572456056 2894013063 3858684084 5788026126 7717368168 11576052252 23152104504