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79428333053106 = 23329371370824843
BaseRepresentation
bin10010000011110101011001…
…100100111010010010110010
3101102020021102002122012021000
4102003311121210322102302
540402323211230144411
6440532512241542430
722505336065211562
oct2203653144722262
9342207362565230
1079428333053106
1123343404352814
128aa98b0044a16
1335420a11240bb
1415884cd5d8da2
1592b1a71be956
hex483d5993a4b2

79428333053106 has 64 divisors (see below), whose sum is σ = 187528838659200. Its totient is φ = 24872245933248.

The previous prime is 79428333053101. The next prime is 79428333053129. The reversal of 79428333053106 is 60135033382497.

79428333053106 is a `hidden beast` number, since 7 + 9 + 42 + 8 + 33 + 30 + 531 + 0 + 6 = 666.

It is a super-2 number, since 2×794283330531062 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79428333053101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685354480 + ... + 685470363.

It is an arithmetic number, because the mean of its divisors is an integer number (2930138104050).

It is a 1-persistent number, because it is pandigital, but 2⋅79428333053106 = 158856666106212 is not.

Almost surely, 279428333053106 is an apocalyptic number.

79428333053106 is an abundant number, since it is smaller than the sum of its proper divisors (108100505606094).

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

79428333053106 is a wasteful number, since it uses less digits than its factorization.

79428333053106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370824920 (or 1370824914 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 79428333053106 in words is "seventy-nine trillion, four hundred twenty-eight billion, three hundred thirty-three million, fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 29 37 54 58 74 87 111 174 222 261 333 522 666 783 999 1073 1566 1998 2146 3219 6438 9657 19314 28971 57942 1370824843 2741649686 4112474529 8224949058 12337423587 24674847174 37012270761 39753920447 50720519191 74024541522 79507840894 101441038382 119261761341 152161557573 238523522682 304323115146 357785284023 456484672719 715570568046 912969345438 1073355852069 1369454018157 1470895056539 2146711704138 2738908036314 2941790113078 4412685169617 8825370339234 13238055508851 26476111017702 39714166526553 79428333053106