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85417441656 = 23319187318951
BaseRepresentation
bin100111110001101000…
…1101011100101111000
322011110212222121212020
41033203101223211320
52344413331113111
6103123520114440
76112503163101
oct1174321534570
9264425877766
1085417441656
1133252a12198
121467a165a20
138093600ab1
1441c44613a8
15234ddd1906
hex13e346b978

85417441656 has 32 divisors (see below), whose sum is σ = 224782742400. Its totient is φ = 26973928800.

The previous prime is 85417441639. The next prime is 85417441673. The reversal of 85417441656 is 65614471458.

It is an interprime number because it is at equal distance from previous prime (85417441639) and next prime (85417441673).

It is a super-2 number, since 2×854174416562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85417441599 and 85417441608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93659020 + ... + 93659931.

It is an arithmetic number, because the mean of its divisors is an integer number (7024460700).

Almost surely, 285417441656 is an apocalyptic number.

It is an amenable number.

85417441656 is an abundant number, since it is smaller than the sum of its proper divisors (139365300744).

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

85417441656 is a wasteful number, since it uses less digits than its factorization.

85417441656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187318979 (or 187318975 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 85417441656 in words is "eighty-five billion, four hundred seventeen million, four hundred forty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 187318951 374637902 561956853 749275804 1123913706 1498551608 2247827412 3559060069 4495654824 7118120138 10677180207 14236240276 21354360414 28472480552 42708720828 85417441656