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10490758235136 = 21032337392
BaseRepresentation
bin1001100010101001000111…
…1010110000010000000000
31101010220110222102200000100
42120222101322300100000
52333340033102011021
634151215433122400
72131634524460034
oct230522172602000
941126428380010
1010490758235136
113385118591813
121215219859400
135b1374707a7a
14283a80ba61c4
15132d4e540626
hex98a91eb0400

10490758235136 has 99 divisors (see below), whose sum is σ = 30292734595071. Its totient is φ = 3496815765504.

The previous prime is 10490758235077. The next prime is 10490758235143. The reversal of 10490758235136 is 63153285709401.

It is a happy number.

The square root of 10490758235136 is 3238944.

It is a perfect power (a square), and thus also a powerful number.

10490758235136 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 7 + 582 + 3 + 51 + 3 + 6 = 666.

It is a super-2 number, since 2×104907582351362 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 310921755 + ... + 310955493.

It is a 1-persistent number, because it is pandigital, but 2⋅10490758235136 = 20981516470272 is not.

Almost surely, 210490758235136 is an apocalyptic number.

10490758235136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10490758235136 is the 3238944-th square number.

It is an amenable number.

10490758235136 is an abundant number, since it is smaller than the sum of its proper divisors (19801976359935).

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

10490758235136 is an frugal number, since it uses more digits than its factorization.

10490758235136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67504 (or 33744 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10490758235136 in words is "ten trillion, four hundred ninety billion, seven hundred fifty-eight million, two hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 33739 67478 101217 134956 202434 269912 303651 404868 539824 607302 809736 1079648 1214604 1619472 2159296 2429208 3238944 4318592 4858416 6477888 8637184 9716832 12955776 17274368 19433664 25911552 34548736 38867328 51823104 77734656 103646208 155469312 310938624 1138320121 2276640242 3414960363 4553280484 6829920726 9106560968 10244881089 13659841452 18213121936 20489762178 27319682904 36426243872 40979524356 54639365808 72852487744 81959048712 109278731616 145704975488 163918097424 218557463232 291409950976 327836194848 437114926464 582819901952 655672389696 874229852928 1165639803904 1311344779392 1748459705856 2622689558784 3496919411712 5245379117568 10490758235136