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23445738720 = 2532526960527
BaseRepresentation
bin10101110101011110…
…011001010011100000
32020111222021221011100
4111311132121103200
5341004102114340
614434255314400
71460002330245
oct256536312340
966458257140
1023445738720
119a41565578
124663b1ba00
1322985263a1
1411c5b9b5cc
1592350a830
hex5757994e0

23445738720 has 144 divisors (see below), whose sum is σ = 80307339840. Its totient is φ = 6228851712.

The previous prime is 23445738713. The next prime is 23445738739. The reversal of 23445738720 is 2783754432.

23445738720 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 573 + 8 + 72 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357097 + ... + 417623.

It is an arithmetic number, because the mean of its divisors is an integer number (557689860).

Almost surely, 223445738720 is an apocalyptic number.

23445738720 is a gapful number since it is divisible by the number (20) 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 23445738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40153669920).

23445738720 is an abundant number, since it is smaller than the sum of its proper divisors (56861601120).

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

23445738720 is a wasteful number, since it uses less digits than its factorization.

23445738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60817 (or 60806 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 23445738720 in words is "twenty-three billion, four hundred forty-five million, seven hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 269 288 360 480 538 720 807 1076 1345 1440 1614 2152 2421 2690 3228 4035 4304 4842 5380 6456 8070 8608 9684 10760 12105 12912 16140 19368 21520 24210 25824 32280 38736 43040 48420 60527 64560 77472 96840 121054 129120 181581 193680 242108 302635 363162 387360 484216 544743 605270 726324 907905 968432 1089486 1210540 1452648 1815810 1936864 2178972 2421080 2723715 2905296 3631620 4357944 4842160 5447430 5810592 7263240 8715888 9684320 10894860 14526480 16281763 17431776 21789720 29052960 32563526 43579440 48845289 65127052 81408815 87158880 97690578 130254104 146535867 162817630 195381156 244226445 260508208 293071734 325635260 390762312 488452890 521016416 586143468 651270520 732679335 781524624 976905780 1172286936 1302541040 1465358670 1563049248 1953811560 2344573872 2605082080 2930717340 3907623120 4689147744 5861434680 7815246240 11722869360 23445738720