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29869768240 = 2451328720931
BaseRepresentation
bin11011110100011000…
…000111111000110000
32212002200020102222121
4123310120013320300
5442133130040430
621415540444024
72105125561264
oct336430077060
985080212877
1029869768240
1111738783a84
1259573a9614
132a803c7ca0
1416350280a4
15b9c4a1a7a
hex6f4607e30

29869768240 has 40 divisors (see below), whose sum is σ = 74789306928. Its totient is φ = 11028837120.

The previous prime is 29869768219. The next prime is 29869768259. The reversal of 29869768240 is 4286796892.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×298697682402 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 14359426 + ... + 14361505.

Almost surely, 229869768240 is an apocalyptic number.

29869768240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29869768240 is an abundant number, since it is smaller than the sum of its proper divisors (44919538688).

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

29869768240 is a wasteful number, since it uses less digits than its factorization.

29869768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28720957 (or 28720951 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 29869768240 in words is "twenty-nine billion, eight hundred sixty-nine million, seven hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 28720931 57441862 114883724 143604655 229767448 287209310 373372103 459534896 574418620 746744206 1148837240 1493488412 1866860515 2297674480 2986976824 3733721030 5973953648 7467442060 14934884120 29869768240