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23550820704 = 2532211599647
BaseRepresentation
bin10101111011101111…
…010000000101100000
32020210022000122112200
4111323233100011200
5341213002230304
614452531453200
71462416446565
oct257357200540
966708018480
1023550820704
119a95908194
124693157200
1322b4229088
1411d5b1286c
1592c865e39
hex57bbd0160

23550820704 has 144 divisors (see below), whose sum is σ = 67506566400. Its totient is φ = 7787969280.

The previous prime is 23550820687. The next prime is 23550820751. The reversal of 23550820704 is 40702805532.

23550820704 is a `hidden beast` number, since 23 + 550 + 82 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 36399709 + ... + 36400355.

It is an arithmetic number, because the mean of its divisors is an integer number (468795600).

Almost surely, 223550820704 is an apocalyptic number.

23550820704 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 23550820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33753283200).

23550820704 is an abundant number, since it is smaller than the sum of its proper divisors (43955745696).

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

23550820704 is a wasteful number, since it uses less digits than its factorization.

23550820704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 23550820704 in words is "twenty-three billion, five hundred fifty million, eight hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 599 633 647 844 1198 1266 1294 1688 1797 1899 1941 2396 2532 2588 3376 3594 3798 3882 4792 5064 5176 5391 5823 6752 7188 7596 7764 9584 10128 10352 10782 11646 14376 15192 15528 19168 20256 20704 21564 23292 28752 30384 31056 43128 46584 57504 60768 62112 86256 93168 126389 136517 172512 186336 252778 273034 379167 387553 409551 505556 546068 758334 775106 819102 1011112 1092136 1137501 1162659 1228653 1516668 1550212 1638204 2022224 2184272 2275002 2325318 2457306 3033336 3100424 3276408 3487977 4044448 4368544 4550004 4650636 4914612 6066672 6200848 6552816 6975954 9100008 9301272 9829224 12133344 12401696 13105632 13951908 18200016 18602544 19658448 27903816 36400032 37205088 39316896 55807632 81773683 111615264 163547366 245321049 327094732 490642098 654189464 735963147 981284196 1308378928 1471926294 1962568392 2616757856 2943852588 3925136784 5887705176 7850273568 11775410352 23550820704