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29807375064 = 2337144938959
BaseRepresentation
bin11011110000101010…
…000111001011011000
32211221022211112122020
4123300222013023120
5442021142000224
621405431254440
72103440336055
oct336052071330
984838745566
1029807375064
1111706539075
12593a51a420
132a704c094c
14162aa2602c
15b96c79c79
hex6f0a872d8

29807375064 has 64 divisors (see below), whose sum is σ = 75738240000. Its totient is φ = 9773783040.

The previous prime is 29807375029. The next prime is 29807375131. The reversal of 29807375064 is 46057370892.

It is a junction number, because it is equal to n+sod(n) for n = 29807374998 and 29807375016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745617 + ... + 784575.

It is an arithmetic number, because the mean of its divisors is an integer number (1183410000).

Almost surely, 229807375064 is an apocalyptic number.

29807375064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29807375064 is an abundant number, since it is smaller than the sum of its proper divisors (45930864936).

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

29807375064 is a wasteful number, since it uses less digits than its factorization.

29807375064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39488 (or 39484 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 29807375064 in words is "twenty-nine billion, eight hundred seven million, three hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 449 568 852 898 1347 1704 1796 2694 3592 5388 10776 31879 38959 63758 77918 95637 116877 127516 155836 191274 233754 255032 311672 382548 467508 765096 935016 2766089 5532178 8298267 11064356 16596534 17492591 22128712 33193068 34985182 52477773 66386136 69970364 104955546 139940728 209911092 419822184 1241973961 2483947922 3725921883 4967895844 7451843766 9935791688 14903687532 29807375064