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23488374420 = 22325722663081
BaseRepresentation
bin10101111000000001…
…000010011010010100
32020121221112001100100
4111320001002122110
5341101010440140
614442421214100
71461030613500
oct257001023224
966557461310
1023488374420
119a63636395
124676261330
1322a4303804
1411cb6d9300
1592712d530
hex578042694

23488374420 has 108 divisors (see below), whose sum is σ = 82880438004. Its totient is φ = 5368769280.

The previous prime is 23488374383. The next prime is 23488374449. The reversal of 23488374420 is 2447388432.

23488374420 is a `hidden beast` number, since 234 + 8 + 8 + 374 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4901960196 + 18586414224 = 70014^2 + 136332^2 .

It is a super-2 number, since 2×234883744202 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1322721 + ... + 1340360.

It is an arithmetic number, because the mean of its divisors is an integer number (767411463).

Almost surely, 223488374420 is an apocalyptic number.

23488374420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23488374420 is an abundant number, since it is smaller than the sum of its proper divisors (59392063584).

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

23488374420 is a wasteful number, since it uses less digits than its factorization.

23488374420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663110 (or 2663098 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 23488374420 in words is "twenty-three billion, four hundred eighty-eight million, three hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 2663081 5326162 7989243 10652324 13315405 15978486 18641567 23967729 26630810 31956972 37283134 39946215 47935458 53261620 55924701 74566268 79892430 93207835 95870916 111849402 119838645 130490969 159784860 167774103 186415670 223698804 239677290 260981938 279623505 335548206 372831340 391472907 479354580 521963876 559247010 652454845 671096412 782945814 838870515 1118494020 1174418721 1304909690 1565891628 1677741030 1957364535 2348837442 2609819380 3355482060 3914729070 4697674884 5872093605 7829458140 11744187210 23488374420