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16252420601024 = 2641139379117571
BaseRepresentation
bin1110110010000000111111…
…0000011011010011000000
32010112201100010122221012122
43230200033300123103000
54112234424133213044
654322131533343412
73265125063513206
oct354401760332300
963481303587178
1016252420601024
1151a6681803033
1219a59b2937b68
1390b79abc69aa
1440289add3076
151d2b69489dee
hexec80fc1b4c0

16252420601024 has 112 divisors (see below), whose sum is σ = 33363265353600. Its totient is φ = 7850139494400.

The previous prime is 16252420600987. The next prime is 16252420601051. The reversal of 16252420601024 is 42010602425261.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138176159 + ... + 138293729.

It is an arithmetic number, because the mean of its divisors is an integer number (297886297800).

Almost surely, 216252420601024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16252420601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681632676800).

16252420601024 is an abundant number, since it is smaller than the sum of its proper divisors (17110844752576).

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

16252420601024 is a wasteful number, since it uses less digits than its factorization.

16252420601024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118142 (or 118132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 16252420601024 in words is "sixteen trillion, two hundred fifty-two billion, four hundred twenty million, six hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 139 164 278 328 379 556 656 758 1112 1312 1516 2224 2624 3032 4448 5699 6064 8896 11398 12128 15539 22796 24256 31078 45592 52681 62156 91184 105362 117571 124312 182368 210724 235142 248624 364736 421448 470284 497248 842896 940568 994496 1685792 1881136 2159921 3371584 3762272 4319842 4820411 7524544 8639684 9640822 16342369 17279368 19281644 32684738 34558736 38563288 44559409 65369476 69117472 77126576 89118818 130738952 138234944 154253152 178237636 261477904 308506304 356475272 522955808 670037129 712950544 1045911616 1340074258 1425901088 1826935769 2680148516 2851802176 3653871538 5360297032 6193757851 7307743076 10720594064 12387515702 14615486152 21441188128 24775031404 29230972304 42882376256 49550062808 58461944608 99100125616 116923889216 198200251232 253944071891 396400502464 507888143782 1015776287564 2031552575128 4063105150256 8126210300512 16252420601024