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85834915500 = 22353263217579
BaseRepresentation
bin100111111110000101…
…0001101111010101100
322012112222112111022110
41033330022031322230
52401242214244000
6103233152044020
76126032513025
oct1177412157254
9265488474273
1085834915500
11334476324a4
1214775b33610
13812bc4ca39
144223a93c4c
152375897850
hex13fc28deac

85834915500 has 96 divisors (see below), whose sum is σ = 250902812160. Its totient is φ = 22802174400.

The previous prime is 85834915483. The next prime is 85834915511. The reversal of 85834915500 is 551943858.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85834915500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285711 + ... + 503289.

It is an arithmetic number, because the mean of its divisors is an integer number (2613570960).

Almost surely, 285834915500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85834915500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125451406080).

85834915500 is an abundant number, since it is smaller than the sum of its proper divisors (165067896660).

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

85834915500 is a wasteful number, since it uses less digits than its factorization.

85834915500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217864 (or 217852 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 85834915500 in words is "eighty-five billion, eight hundred thirty-four million, nine hundred fifteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 263 300 375 500 526 750 789 1052 1315 1500 1578 2630 3156 3945 5260 6575 7890 13150 15780 19725 26300 32875 39450 65750 78900 98625 131500 197250 217579 394500 435158 652737 870316 1087895 1305474 2175790 2610948 3263685 4351580 5439475 6527370 10878950 13054740 16318425 21757900 27197375 32636850 54394750 57223277 65273700 81592125 108789500 114446554 163184250 171669831 228893108 286116385 326368500 343339662 572232770 686679324 858349155 1144465540 1430581925 1716698310 2861163850 3433396620 4291745775 5722327700 7152909625 8583491550 14305819250 17166983100 21458728875 28611638500 42917457750 85834915500