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6540430296232 = 2371741971727483
BaseRepresentation
bin101111100101101000000…
…0001100100010010101000
3212011020222211111010002201
41133023100001210102220
51324124300123434412
621524344315505544
71243346650144360
oct137132001442250
925136884433081
106540430296232
1120a1865436908
128976b4a582b4
133859b574b481
141887b67cd9a0
15b51e924ce57
hex5f2d00644a8

6540430296232 has 128 divisors (see below), whose sum is σ = 15358300151040. Its totient is φ = 2547275857920.

The previous prime is 6540430296199. The next prime is 6540430296263. The reversal of 6540430296232 is 2326920340456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922363 + ... + 4649845.

It is an arithmetic number, because the mean of its divisors is an integer number (119986719930).

Almost surely, 26540430296232 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 6540430296232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679150075520).

6540430296232 is an abundant number, since it is smaller than the sum of its proper divisors (8817869854808).

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

6540430296232 is a wasteful number, since it uses less digits than its factorization.

6540430296232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727651 (or 1727647 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 6540430296232 in words is "six trillion, five hundred forty billion, four hundred thirty million, two hundred ninety-six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 97 119 136 164 194 238 287 328 388 476 574 679 697 776 952 1148 1358 1394 1649 2296 2716 2788 3298 3977 4879 5432 5576 6596 7954 9758 11543 13192 15908 19516 23086 27839 31816 39032 46172 55678 67609 92344 111356 135218 222712 270436 473263 540872 946526 1727483 1893052 3454966 3786104 6909932 12092381 13819864 24184762 29367211 48369524 58734422 70826803 96739048 117468844 141653606 167565851 205570477 234937688 283307212 335131702 411140954 495787621 566614424 670263404 822281908 991575242 1172960957 1204055651 1340526808 1644563816 1983150484 2345921914 2408111302 2848619467 3966300968 4691843828 4816222604 5697238934 6870199891 8428389557 9383687656 9632445208 11394477868 13740399782 16856779114 19940336269 22788955736 27480799564 33713558228 39880672538 48091399237 54961599128 67427116456 79761345076 96182798474 116793398147 159522690152 192365596948 233586796294 384731193896 467173592588 817553787029 934347185176 1635107574058 3270215148116 6540430296232