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34164060150 = 23521120705491
BaseRepresentation
bin11111110100010101…
…100010111111110110
310021011221201002001010
4133310111202333312
51024431444411100
623410022213050
72316421501623
oct376425427766
9107157632033
1034164060150
11135417a3060
126755584186
1332b5c9930c
1419214a734a
15d4e4a9750
hex7f4562ff6

34164060150 has 48 divisors (see below), whose sum is σ = 92429316288. Its totient is φ = 8282196000.

The previous prime is 34164060127. The next prime is 34164060179. The reversal of 34164060150 is 5106046143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10351096 + ... + 10354395.

It is an arithmetic number, because the mean of its divisors is an integer number (1925610756).

Almost surely, 234164060150 is an apocalyptic number.

34164060150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34164060150 is an abundant number, since it is smaller than the sum of its proper divisors (58265256138).

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

34164060150 is a wasteful number, since it uses less digits than its factorization.

34164060150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20705517 (or 20705512 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 34164060150 in words is "thirty-four billion, one hundred sixty-four million, sixty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 20705491 41410982 62116473 103527455 124232946 207054910 227760401 310582365 455520802 517637275 621164730 683281203 1035274550 1138802005 1366562406 1552911825 2277604010 3105823650 3416406015 5694010025 6832812030 11388020050 17082030075 34164060150