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23601364668 = 22327223457919
BaseRepresentation
bin10101111110110000…
…000011111010111100
32020220211010112211100
4111332300003322330
5341313422132133
614501535053100
71463602201230
oct257660037274
966824115740
1023601364668
11a01139a662
1246a8071190
1322c1844c4b
1411dc70c5c0
15931eebe13
hex57ec03ebc

23601364668 has 144 divisors (see below), whose sum is σ = 68712017920. Its totient is φ = 6691030272.

The previous prime is 23601364667. The next prime is 23601364687. The reversal of 23601364668 is 86646310632.

23601364668 is a `hidden beast` number, since 2 + 3 + 601 + 36 + 4 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23601364667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25681113 + ... + 25682031.

Almost surely, 223601364668 is an apocalyptic number.

23601364668 is a gapful number since it is divisible by the number (28) 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 23601364668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34356008960).

23601364668 is an abundant number, since it is smaller than the sum of its proper divisors (45110653252).

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

23601364668 is a wasteful number, since it uses less digits than its factorization.

23601364668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23601364668 in words is "twenty-three billion, six hundred one million, three hundred sixty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 457 669 892 914 919 1338 1371 1561 1828 1838 2007 2676 2742 2757 3122 3199 3676 4014 4113 4683 5484 5514 6244 6398 6433 8028 8226 8271 9366 9597 11028 12796 12866 14049 16452 16542 18732 19194 19299 25732 28098 28791 33084 38388 38598 56196 57582 57897 77196 101911 115164 115794 203822 204937 231588 305733 407644 409874 419983 611466 614811 713377 819748 839966 917199 1222932 1229622 1259949 1426754 1434559 1679932 1834398 1844433 2140131 2459244 2519898 2853508 2869118 2939881 3668796 3688866 3779847 4280262 4303677 5039796 5738236 5879762 6420393 7377732 7559694 8560524 8607354 8819643 11759524 12840786 12911031 15119388 17214708 17639286 25681572 25822062 26458929 35278572 51644124 52917858 93656209 105835716 187312418 280968627 374624836 561937254 655593463 842905881 1123874508 1311186926 1685811762 1966780389 2622373852 3371623524 3933560778 5900341167 7867121556 11800682334 23601364668