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34211468796 = 22317915927127
BaseRepresentation
bin11111110111001010…
…011001010111111100
310021022020220200110220
4133313022121113330
51030031114000141
623414434301340
72320535454351
oct376712312774
9107266820426
1034211468796
111356653395a
126769427850
1332c2a5807b
1419278c8628
15d53721766
hex7f72995fc

34211468796 has 24 divisors (see below), whose sum is σ = 80272725120. Its totient is φ = 11340113712.

The previous prime is 34211468791. The next prime is 34211468801. The reversal of 34211468796 is 69786411243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34211468791) and next prime (34211468801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211468791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7961416 + ... + 7965711.

It is an arithmetic number, because the mean of its divisors is an integer number (3344696880).

Almost surely, 234211468796 is an apocalyptic number.

It is an amenable number.

34211468796 is an abundant number, since it is smaller than the sum of its proper divisors (46061256324).

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

34211468796 is a wasteful number, since it uses less digits than its factorization.

34211468796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15927313 (or 15927311 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 34211468796 in words is "thirty-four billion, two hundred eleven million, four hundred sixty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 179 358 537 716 1074 2148 15927127 31854254 47781381 63708508 95562762 191125524 2850955733 5701911466 8552867199 11403822932 17105734398 34211468796