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23826797440 = 275178092707
BaseRepresentation
bin10110001100001100…
…000001001110000000
32021111112022201110021
4112030030001032000
5342244130004230
614540150543224
71502310302515
oct261414011600
967445281407
1023826797440
11a117673636
12474b667b14
132329465414
14122063130c
15946bcbc7a
hex58c301380

23826797440 has 128 divisors (see below), whose sum is σ = 60408439200. Its totient is φ = 8955691008.

The previous prime is 23826797429. The next prime is 23826797459. The reversal of 23826797440 is 4479762832.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8800567 + ... + 8803273.

Almost surely, 223826797440 is an apocalyptic number.

23826797440 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 23826797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30204219600).

23826797440 is an abundant number, since it is smaller than the sum of its proper divisors (36581641760).

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

23826797440 is a wasteful number, since it uses less digits than its factorization.

23826797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 23826797440 in words is "twenty-three billion, eight hundred twenty-six million, seven hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 809 1088 1360 1618 2176 2707 2720 3236 4045 5414 5440 6472 8090 10828 10880 12944 13535 13753 16180 21656 25888 27070 27506 32360 43312 46019 51776 54140 55012 64720 68765 86624 92038 103552 108280 110024 129440 137530 173248 184076 216560 220048 230095 258880 275060 346496 368152 433120 440096 460190 517760 550120 736304 866240 880192 920380 1100240 1472608 1732480 1760384 1840760 2189963 2200480 2945216 3681520 4379926 4400960 5890432 7363040 8759852 8801920 10949815 14726080 17519704 21899630 29452160 35039408 37229371 43799260 70078816 74458742 87598520 140157632 148917484 175197040 186146855 280315264 297834968 350394080 372293710 595669936 700788160 744587420 1191339872 1401576320 1489174840 2382679744 2978349680 4765359488 5956699360 11913398720 23826797440