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23666513240 = 2351933194079
BaseRepresentation
bin10110000010101000…
…100101010101011000
32021002100201102212102
4112002220211111120
5341432111410430
614512223302532
71465323020606
oct260250452530
967070642772
1023666513240
11a045147757
124705a4aa48
1323021a54b6
14120722a876
15937aba345
hex582a25558

23666513240 has 64 divisors (see below), whose sum is σ = 56222208000. Its totient is φ = 8941173120.

The previous prime is 23666513177. The next prime is 23666513257. The reversal of 23666513240 is 4231566632.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 23666513194 and 23666513203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204521 + ... + 298599.

It is an arithmetic number, because the mean of its divisors is an integer number (878472000).

Almost surely, 223666513240 is an apocalyptic number.

23666513240 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 23666513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111104000).

23666513240 is an abundant number, since it is smaller than the sum of its proper divisors (32555694760).

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

23666513240 is a wasteful number, since it uses less digits than its factorization.

23666513240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94440 (or 94436 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 23666513240 in words is "twenty-three billion, six hundred sixty-six million, five hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 331 380 662 760 1324 1655 2648 3310 6289 6620 12578 13240 25156 31445 50312 62890 94079 125780 188158 251560 376316 470395 752632 940790 1787501 1881580 3575002 3763160 7150004 8937505 14300008 17875010 31140149 35750020 62280298 71500040 124560596 155700745 249121192 311401490 591662831 622802980 1183325662 1245605960 2366651324 2958314155 4733302648 5916628310 11833256620 23666513240