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85201297753583 = 1131222697355109
BaseRepresentation
bin10011010111110101111001…
…000101100100010111101111
3102011200011102221012112210002
4103113311321011210113233
542131414224211103313
6501112534050334515
723642406404422604
oct2327657105442757
9364604387175702
1085201297753583
1125169738430320
1296806ba28a43b
1338705a9074c7b
141707a9c9166ab
159cb4344c9058
hex4d7d791645ef

85201297753583 has 24 divisors (see below), whose sum is σ = 96046377270480. Its totient is φ = 74953639862400.

The previous prime is 85201297753577. The next prime is 85201297753609. The reversal of 85201297753583 is 38535779210258.

It is a happy number.

It is not a de Polignac number, because 85201297753583 - 218 = 85201297491439 is a prime.

It is a super-2 number, since 2×852012977535832 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85201297753553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239752433 + ... + 240107541.

It is an arithmetic number, because the mean of its divisors is an integer number (4001932386270).

Almost surely, 285201297753583 is an apocalyptic number.

85201297753583 is a deficient number, since it is larger than the sum of its proper divisors (10845079516897).

85201297753583 is a wasteful number, since it uses less digits than its factorization.

85201297753583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377879 (or 377848 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 65.

The spelling of 85201297753583 in words is "eighty-five trillion, two hundred one billion, two hundred ninety-seven million, seven hundred fifty-three thousand, five hundred eighty-three".

Divisors: 1 11 31 341 961 10571 22697 249667 355109 703607 3906199 7739677 11008379 21811817 121092169 239929987 341259749 3753857239 8059908973 88658998703 249857178163 2748428959793 7745572523053 85201297753583