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23500134768 = 24311300114831
BaseRepresentation
bin10101111000101101…
…111001100101110000
32020122202122112111210
4111320231321211300
5341112013303033
614443521240120
71461232564305
oct257055714560
966582575453
1023500134768
119a6a239090
12467a193040
1322a68906b6
1411cd0bb0ac
159281a2d63
hex578b79970

23500134768 has 80 divisors (see below), whose sum is σ = 66254188032. Its totient is φ = 7118400000.

The previous prime is 23500134761. The next prime is 23500134769. The reversal of 23500134768 is 86743100532.

It is a super-2 number, since 2×235001347682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23500134761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577113 + ... + 1591943.

Almost surely, 223500134768 is an apocalyptic number.

It is an amenable number.

23500134768 is an abundant number, since it is smaller than the sum of its proper divisors (42754053264).

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

23500134768 is a wasteful number, since it uses less digits than its factorization.

23500134768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17854 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 23500134768 in words is "twenty-three billion, five hundred million, one hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3001 6002 9003 12004 14831 18006 24008 29662 33011 36012 44493 48016 59324 66022 72024 88986 99033 118648 132044 144048 163141 177972 198066 237296 264088 326282 355944 396132 489423 528176 652564 711888 792264 978846 1305128 1584528 1957692 2610256 3915384 7830768 44507831 89015662 133523493 178031324 267046986 356062648 489586141 534093972 712125296 979172282 1068187944 1468758423 1958344564 2136375888 2937516846 3916689128 5875033692 7833378256 11750067384 23500134768