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75201066216 = 23327314307661
BaseRepresentation
bin100011000001001010…
…1010011010011101000
321012002220001222102200
41012002111103103220
52213002433104331
654314043500200
75301360342003
oct1060225232350
9235086058380
1075201066216
1129990050101
12126a8827660
137125b44923
1438d569653a
151e520325e6
hex11825534e8

75201066216 has 48 divisors (see below), whose sum is σ = 206459562660. Its totient is φ = 24723636480.

The previous prime is 75201066203. The next prime is 75201066229. The reversal of 75201066216 is 61266010257.

It is a happy number.

75201066216 is a `hidden beast` number, since 7 + 5 + 20 + 1 + 0 + 6 + 621 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (75201066203) and next prime (75201066229).

It can be written as a sum of positive squares in 2 ways, for example, as 75169188900 + 31877316 = 274170^2 + 5646^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7148575 + ... + 7159086.

Almost surely, 275201066216 is an apocalyptic number.

It is an amenable number.

75201066216 is an abundant number, since it is smaller than the sum of its proper divisors (131258496444).

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

75201066216 is a wasteful number, since it uses less digits than its factorization.

75201066216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14307746 (or 14307739 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 75201066216 in words is "seventy-five billion, two hundred one million, sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 14307661 28615322 42922983 57230644 85845966 114461288 128768949 171691932 257537898 343383864 515075796 1030151592 1044459253 2088918506 3133377759 4177837012 6266755518 8355674024 9400133277 12533511036 18800266554 25067022072 37600533108 75201066216