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105652242798 = 23791371626971
BaseRepresentation
bin110001001100101011…
…1010100100101101110
3101002201002100000201120
41202121113110211232
53212333433232143
6120311434121410
710430106150324
oct1423127244556
9332632300646
10105652242798
1140896a33843
1218586880266
139c698290cb
1451839c7d14
152b3557d383
hex18995d496e

105652242798 has 32 divisors (see below), whose sum is σ = 215541250560. Its totient is φ = 34517795520.

The previous prime is 105652242793. The next prime is 105652242827. The reversal of 105652242798 is 897242256501.

It is a super-2 number, since 2×1056522427982 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105652242798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105652242793) by changing a digit.

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, 748548 + ... + 878423.

It is an arithmetic number, because the mean of its divisors is an integer number (6735664080).

Almost surely, 2105652242798 is an apocalyptic number.

105652242798 is an abundant number, since it is smaller than the sum of its proper divisors (109889007762).

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

105652242798 is a wasteful number, since it uses less digits than its factorization.

105652242798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627192.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 105652242798 in words is "one hundred five billion, six hundred fifty-two million, two hundred forty-two thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 79 137 158 237 274 411 474 822 10823 21646 32469 64938 1626971 3253942 4880913 9761826 128530709 222895027 257061418 385592127 445790054 668685081 771184254 1337370162 17608707133 35217414266 52826121399 105652242798