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29002924240 = 245362536553
BaseRepresentation
bin11011000000101101…
…011000000011010000
32202212021010012120021
4123000231120003100
5433344222033430
621153533153224
72044501534303
oct330055300320
982767105507
1029002924240
1111333438284
12575502b814
13297293cc44
141591c5cb3a
15b4b32407a
hex6c0b580d0

29002924240 has 20 divisors (see below), whose sum is σ = 67431799044. Its totient is φ = 11601169664.

The previous prime is 29002924219. The next prime is 29002924241. The reversal of 29002924240 is 4242920092.

It can be written as a sum of positive squares in 2 ways, for example, as 4252083264 + 24750840976 = 65208^2 + 157324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×290029242402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29002924196 and 29002924205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29002924241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181268197 + ... + 181268356.

Almost surely, 229002924240 is an apocalyptic number.

29002924240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29002924240 is an abundant number, since it is smaller than the sum of its proper divisors (38428874804).

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

29002924240 is a wasteful number, since it uses less digits than its factorization.

29002924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362536566 (or 362536560 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 29002924240 in words is "twenty-nine billion, two million, nine hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 362536553 725073106 1450146212 1812682765 2900292424 3625365530 5800584848 7250731060 14501462120 29002924240