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85800132150 = 23524182916829
BaseRepresentation
bin100111111101000010…
…1100001111000110110
322012110120002022112020
41033322011201320312
52401204313212100
6103225510334010
76125131042605
oct1177205417066
9265416068466
1085800132150
1133429a35227
121476635a306
138124991785
14421d1dba3c
1523727c65a0
hex13fa161e36

85800132150 has 96 divisors (see below), whose sum is σ = 218250093600. Its totient is φ = 22293734400.

The previous prime is 85800132139. The next prime is 85800132161. The reversal of 85800132150 is 5123100858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85800132139) and next prime (85800132161).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5089936 + ... + 5106764.

It is an arithmetic number, because the mean of its divisors is an integer number (2273438475).

Almost surely, 285800132150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85800132150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109125046800).

85800132150 is an abundant number, since it is smaller than the sum of its proper divisors (132449961450).

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

85800132150 is a wasteful number, since it uses less digits than its factorization.

85800132150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17714 (or 17709 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 85800132150 in words is "eighty-five billion, eight hundred million, one hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 829 1025 1230 1658 2050 2487 3075 4145 4974 6150 8290 12435 16829 20725 24870 33658 33989 41450 50487 62175 67978 84145 100974 101967 124350 168290 169945 203934 252435 339890 420725 504870 509835 689989 841450 849725 1019670 1262175 1379978 1699450 2069967 2524350 2549175 3449945 4139934 5098350 6899890 10349835 13951241 17249725 20699670 27902482 34499450 41853723 51749175 69756205 83707446 103498350 139512410 209268615 348781025 418537230 572000881 697562050 1046343075 1144001762 1716002643 2092686150 2860004405 3432005286 5720008810 8580013215 14300022025 17160026430 28600044050 42900066075 85800132150