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29412914420 = 2252621561101
BaseRepresentation
bin11011011001001001…
…010111010011110100
32210220211120212100202
4123121021113103310
5440214201230140
621302340500032
72060610435041
oct333111272364
983824525322
1029412914420
1111523906a3a
12584a3aa618
132a0986b796
1415d04a41c8
15b7230c915
hex6d92574f4

29412914420 has 24 divisors (see below), whose sum is σ = 61790796648. Its totient is φ = 11760656000.

The previous prime is 29412914411. The next prime is 29412914491. The reversal of 29412914420 is 2441921492.

It can be written as a sum of positive squares in 4 ways, for example, as 17392861924 + 12020052496 = 131882^2 + 109636^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228131 + ... + 332970.

It is an arithmetic number, because the mean of its divisors is an integer number (2574616527).

Almost surely, 229412914420 is an apocalyptic number.

29412914420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29412914420 is an abundant number, since it is smaller than the sum of its proper divisors (32377882228).

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

29412914420 is a wasteful number, since it uses less digits than its factorization.

29412914420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563731 (or 563729 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 29412914420 in words is "twenty-nine billion, four hundred twelve million, nine hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2621 5242 10484 13105 26210 52420 561101 1122202 2244404 2805505 5611010 11222020 1470645721 2941291442 5882582884 7353228605 14706457210 29412914420