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85528000978 = 2737499933029
BaseRepresentation
bin100111110100111011…
…1011011100111010010
322011202121000121201221
41033221313123213102
52400130132012403
6103142505515254
76115315004350
oct1175167334722
9264677017657
1085528000978
11332aa366032
12146ab1a2b2a
1380b04a0904
1441d50007d0
15235896edbd
hex13e9ddb9d2

85528000978 has 32 divisors (see below), whose sum is σ = 150616800000. Its totient is φ = 35655971904.

The previous prime is 85528000913. The next prime is 85528001023. The reversal of 85528000978 is 87900082558.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2572968 + ... + 2605996.

It is an arithmetic number, because the mean of its divisors is an integer number (4706775000).

Almost surely, 285528000978 is an apocalyptic number.

85528000978 is the 184963-rd heptagonal number.

85528000978 is a deficient number, since it is larger than the sum of its proper divisors (65088799022).

85528000978 is a wasteful number, since it uses less digits than its factorization.

85528000978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38074.

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 85528000978 in words is "eighty-five billion, five hundred twenty-eight million, nine hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 7 14 37 74 259 518 4999 9998 33029 34993 66058 69986 184963 231203 369926 462406 1222073 1294741 2444146 2589482 8554511 17109022 165111971 330223942 1155783797 2311567594 6109142927 12218285854 42764000489 85528000978