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85225233051 = 347178841709
BaseRepresentation
bin100111101011111010…
…0011101101010011011
322010222111022102020000
41033113310131222123
52344020124424201
6103052452304043
76104650346130
oct1172764355233
9263874272200
1085225233051
1133164471002
1214625912023
138062843caa
1441a6b0a587
15233c0b5d86
hex13d7d1da9b

85225233051 has 40 divisors (see below), whose sum is σ = 154057955040. Its totient is φ = 45835414272.

The previous prime is 85225233043. The next prime is 85225233053. The reversal of 85225233051 is 15033252258.

85225233051 is a `hidden beast` number, since 8 + 52 + 2 + 523 + 30 + 51 = 666.

It is not a de Polignac number, because 85225233051 - 23 = 85225233043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85225232997 and 85225233015.

It is not an unprimeable number, because it can be changed into a prime (85225233053) 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 39 ways as a sum of consecutive naturals, for example, 4411216 + ... + 4430493.

It is an arithmetic number, because the mean of its divisors is an integer number (3851448876).

Almost surely, 285225233051 is an apocalyptic number.

85225233051 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85225233051 is a deficient number, since it is larger than the sum of its proper divisors (68832721989).

85225233051 is a wasteful number, since it uses less digits than its factorization.

85225233051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841745 (or 8841736 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 85225233051 in words is "eighty-five billion, two hundred twenty-five million, two hundred thirty-three thousand, fifty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 459 567 1071 1377 3213 9639 8841709 26525127 61891963 79575381 150309053 185675889 238726143 450927159 557027667 716178429 1052163371 1352781477 1671083001 3156490113 4058344431 5013249003 9469470339 12175033293 28408411017 85225233051