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85979689520 = 2452959236257
BaseRepresentation
bin101000000010011001…
…0011111001000110000
322012221001221202221012
41100010302133020300
52402041300031040
6103255403050052
76132441205514
oct1200462371060
9265831852835
1085979689520
113351132534a
12147b6510928
138152c3c03a
144238dbc144
152383443865
hex1404c9f230

85979689520 has 80 divisors (see below), whose sum is σ = 206863947360. Its totient is φ = 33195036672.

The previous prime is 85979689493. The next prime is 85979689531. The reversal of 85979689520 is 2598697958.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13738232 + ... + 13744488.

It is an arithmetic number, because the mean of its divisors is an integer number (2585799342).

Almost surely, 285979689520 is an apocalyptic number.

85979689520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85979689520 is an abundant number, since it is smaller than the sum of its proper divisors (120884257840).

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

85979689520 is a wasteful number, since it uses less digits than its factorization.

85979689520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 68.

The spelling of 85979689520 in words is "eighty-five billion, nine hundred seventy-nine million, six hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5923 6257 11846 12514 23692 25028 29615 31285 47384 50056 59230 62570 94768 100112 118460 125140 171767 181453 236920 250280 343534 362906 473840 500560 687068 725812 858835 907265 1374136 1451624 1717670 1814530 2748272 2903248 3435340 3629060 6870680 7258120 13741360 14516240 37060211 74120422 148240844 185301055 296481688 370602110 592963376 741204220 1074746119 1482408440 2149492238 2964816880 4298984476 5373730595 8597968952 10747461190 17195937904 21494922380 42989844760 85979689520