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85738016960 = 2651867143509
BaseRepresentation
bin100111111011001100…
…0100101000011000000
322012022020012112111122
41033312120211003000
52401042413020320
6103215411131412
76123445056011
oct1176630450300
9265266175448
1085738016960
11333a796a162
12147495a3b68
138114b53b1b
144214c6d008
15236c106d25
hex13f66250c0

85738016960 has 56 divisors (see below), whose sum is σ = 204274430160. Its totient is φ = 34276598784.

The previous prime is 85738016939. The next prime is 85738016981. The reversal of 85738016960 is 6961083758.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85738016939) and next prime (85738016981).

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, 525686 + ... + 669194.

Almost surely, 285738016960 is an apocalyptic number.

85738016960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85738016960 is an abundant number, since it is smaller than the sum of its proper divisors (118536413200).

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

85738016960 is a wasteful number, since it uses less digits than its factorization.

85738016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145393 (or 145383 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 85738016960 in words is "eighty-five billion, seven hundred thirty-eight million, sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1867 3734 7468 9335 14936 18670 29872 37340 59744 74680 119488 143509 149360 287018 298720 574036 597440 717545 1148072 1435090 2296144 2870180 4592288 5740360 9184576 11480720 22961440 45922880 267931303 535862606 1071725212 1339656515 2143450424 2679313030 4286900848 5358626060 8573801696 10717252120 17147603392 21434504240 42869008480 85738016960