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23444620480 = 265315714139
BaseRepresentation
bin10101110101011010…
…001000010011000000
32020111220012010020001
4111311122020103000
5341003310323410
614434215325344
71456656662131
oct256532102300
966456163201
1023444620480
119a40971406
124663680854
1322982243c8
1411c5989c88
1592338933a
hex5756884c0

23444620480 has 112 divisors (see below), whose sum is σ = 57743262720. Its totient is φ = 9057254400.

The previous prime is 23444620477. The next prime is 23444620517. The reversal of 23444620480 is 8402644432.

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, 5662251 + ... + 5666389.

Almost surely, 223444620480 is an apocalyptic number.

23444620480 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 23444620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28871631360).

23444620480 is an abundant number, since it is smaller than the sum of its proper divisors (34298642240).

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

23444620480 is a wasteful number, since it uses less digits than its factorization.

23444620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 23444620480 in words is "twenty-three billion, four hundred forty-four million, six hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 571 620 992 1142 1240 1984 2284 2480 2855 4139 4568 4960 5710 8278 9136 9920 11420 16556 17701 18272 20695 22840 33112 35402 36544 41390 45680 66224 70804 82780 88505 91360 128309 132448 141608 165560 177010 182720 256618 264896 283216 331120 354020 513236 566432 641545 662240 708040 1026472 1132864 1283090 1324480 1416080 2052944 2363369 2566180 2832160 4105888 4726738 5132360 5664320 8211776 9453476 10264720 11816845 18906952 20529440 23633690 37813904 41058880 47267380 73264439 75627808 94534760 146528878 151255616 189069520 293057756 366322195 378139040 586115512 732644390 756278080 1172231024 1465288780 2344462048 2930577560 4688924096 5861155120 11722310240 23444620480