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10293575414472 = 2332779258528617
BaseRepresentation
bin1001010111001010100011…
…1001111111001011001000
31100110001111222011112001100
42111302220321333023020
52322122220301230342
633520445301021400
72111454252241620
oct225625071771310
940401458145040
1010293575414472
113309531a720a9
1211a2b696b4860
135988abc4c41c
142782d6cdb880
1512cb5d59ae4c
hex95ca8e7f2c8

10293575414472 has 96 divisors (see below), whose sum is σ = 32264371526400. Its totient is φ = 2903793414912.

The previous prime is 10293575414443. The next prime is 10293575414569. The reversal of 10293575414472 is 27441457539201.

10293575414472 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 3 + 57 + 541 + 4 + 47 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129224493 + ... + 129304124.

It is an arithmetic number, because the mean of its divisors is an integer number (336087203400).

Almost surely, 210293575414472 is an apocalyptic number.

10293575414472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10293575414472 is an abundant number, since it is smaller than the sum of its proper divisors (21970796111928).

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

10293575414472 is a wasteful number, since it uses less digits than its factorization.

10293575414472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258528715 (or 258528708 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 10293575414472 in words is "ten trillion, two hundred ninety-three billion, five hundred seventy-five million, four hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 4424 4977 5688 6636 9954 13272 19908 39816 258528617 517057234 775585851 1034114468 1551171702 1809700319 2068228936 2326757553 3102343404 3619400638 4653515106 5429100957 6204686808 7238801276 9307030212 10858201914 14477602552 16287302871 18614060424 20423760743 21716403828 32574605742 40847521486 43432807656 61271282229 65149211484 81695042972 122542564458 130298422968 142966325201 163390085944 183813846687 245085128916 285932650402 367627693374 428898975603 490170257832 571865300804 735255386748 857797951206 1143730601608 1286696926809 1470510773496 1715595902412 2573393853618 3431191804824 5146787707236 10293575414472