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107745790924489 = 97211329472
BaseRepresentation
bin11000011111111010000101…
…100110000001011011001001
3112010111101201102110212220011
4120133322011212001123021
5103110301334434040424
61021053422200031521
731460243066521534
oct3037720546013311
9463441642425804
10107745790924489
1131370808060463
1210101a334625a1
1348174cc9456a3
141c86cd1a63a1b
15c6caae147694
hex61fe859816c9

107745790924489 has 27 divisors (see below), whose sum is σ = 109956093218517. Its totient is φ = 105579730443264.

The previous prime is 107745790924451. The next prime is 107745790924511. The reversal of 107745790924489 is 984429097547701.

The square root of 107745790924489 is 10380067.

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

It can be written as a sum of positive squares in 4 ways, for example, as 45068168638089 + 62677622286400 = 6713283^2 + 7916920^2 .

It is a de Polignac number, because none of the positive numbers 2k-107745790924489 is a prime.

It is a super-2 number, since 2×1077457909244892 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107745790964489) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 113775913914 + ... + 113775914860.

Almost surely, 2107745790924489 is an apocalyptic number.

107745790924489 is the 10380067-th square number.

107745790924489 is the 5190034-th centered octagonal number.

It is an amenable number.

107745790924489 is a deficient number, since it is larger than the sum of its proper divisors (2210302294028).

107745790924489 is an frugal number, since it uses more digits than its factorization.

107745790924489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 76.

The spelling of 107745790924489 in words is "one hundred seven trillion, seven hundred forty-five billion, seven hundred ninety million, nine hundred twenty-four thousand, four hundred eighty-nine".

Divisors: 1 97 113 947 9409 10961 12769 91859 107011 896809 1063217 1238593 8910323 10380067 12092243 86990473 101339417 120143521 1006866499 1172947571 8438075881 9829923449 11451354121 113775914387 953502574553 1110781349737 107745790924489