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85217296104 = 23341091206497
BaseRepresentation
bin100111101011101011…
…0001011111011101000
322010221221101011210000
41033113112023323220
52344011111433404
6103052010223000
76104523031263
oct1172726137350
9263857334700
1085217296104
113315aa3a946
1214623124a60
138060cc5485
1441a5a41cda
15233b549339
hex13d758bee8

85217296104 has 80 divisors (see below), whose sum is σ = 240877325700. Its totient is φ = 28145138688.

The previous prime is 85217296103. The next prime is 85217296121. The reversal of 85217296104 is 40169271258.

85217296104 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 7 + 29 + 610 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83411216100 + 1806080004 = 288810^2 + 42498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85217296104.

It is not an unprimeable number, because it can be changed into a prime (85217296103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 532617 + ... + 673880.

Almost surely, 285217296104 is an apocalyptic number.

It is an amenable number.

85217296104 is an abundant number, since it is smaller than the sum of its proper divisors (155660029596).

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

85217296104 is a wasteful number, since it uses less digits than its factorization.

85217296104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206624 (or 1206611 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 85217296104 in words is "eighty-five billion, two hundred seventeen million, two hundred ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 70632 1206497 2412994 3619491 4825988 7238982 9651976 10858473 14477964 21716946 28955928 32575419 43433892 65150838 86867784 97726257 130301676 131508173 195452514 260603352 263016346 390905028 394524519 526032692 781810056 789049038 1052065384 1183573557 1578098076 2367147114 3156196152 3550720671 4734294228 7101441342 9468588456 10652162013 14202882684 21304324026 28405765368 42608648052 85217296104