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102406106608 = 241317129122433
BaseRepresentation
bin101111101011111100…
…0010010110111110000
3100210022212011020000021
41133113320102313300
53134211430402413
6115013354133224
710253501354401
oct1372770226760
9323285136007
10102406106608
113a480639663
1217a1b721214
139870155a70
144d5682d9a8
1529e55ba18d
hex17d7e12df0

102406106608 has 80 divisors (see below), whose sum is σ = 226428695136. Its totient is φ = 44447662080.

The previous prime is 102406106563. The next prime is 102406106639. The reversal of 102406106608 is 806601604201.

It is a super-2 number, since 2×1024061066082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4553760 + ... + 4576192.

Almost surely, 2102406106608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102406106608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113214347568).

102406106608 is an abundant number, since it is smaller than the sum of its proper divisors (124022588528).

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

102406106608 is a wasteful number, since it uses less digits than its factorization.

102406106608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23762 (or 23756 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 102406106608 in words is "one hundred two billion, four hundred six million, one hundred six thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1291 1768 2582 3536 5164 10328 16783 20656 21947 22433 33566 43894 44866 67132 87788 89732 134264 175576 179464 268528 285311 291629 351152 358928 381361 570622 583258 762722 1141244 1166516 1525444 2282488 2333032 3050888 4564976 4666064 4957693 6101776 9915386 19830772 28961003 39661544 57922006 79323088 115844012 231688024 376493039 463376048 492337051 752986078 984674102 1505972156 1969348204 3011944312 3938696408 6023888624 6400381663 7877392816 12800763326 25601526652 51203053304 102406106608