Search a number
-
+
85500603869328 = 24322343896745597
BaseRepresentation
bin10011011100001100101001…
…000111110010100010010000
3102012201210000002110121021100
4103130030221013302202100
542201320214042304303
6501502233555224400
724003133445425134
oct2334145107624220
9365653002417240
1085500603869328
112527466998505a
12970a70b2a8100
1338928981c607b
1417183738333c4
159d4100cc28a3
hex4dc3291f2890

85500603869328 has 240 divisors, whose sum is σ = 258363958469760. Its totient is φ = 26327899293696.

The previous prime is 85500603869287. The next prime is 85500603869357. The reversal of 85500603869328 is 82396830600558.

85500603869328 is a `hidden beast` number, since 8 + 5 + 500 + 6 + 0 + 38 + 6 + 93 + 2 + 8 = 666.

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, 9302226 + ... + 16047822.

It is an arithmetic number, because the mean of its divisors is an integer number (1076516493624).

Almost surely, 285500603869328 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 85500603869328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129181979234880).

85500603869328 is an abundant number, since it is smaller than the sum of its proper divisors (172863354600432).

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

85500603869328 is a wasteful number, since it uses less digits than its factorization.

85500603869328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745766 (or 6745757 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 85500603869328 in words is "eighty-five trillion, five hundred billion, six hundred three million, eight hundred sixty-nine thousand, three hundred twenty-eight".