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816412996850 = 252112134944297
BaseRepresentation
bin10111110000101100000…
…00011011010011110010
32220001022020002100221212
423320112000123103302
5101334003211344400
61423015511520122
7112661321654543
oct13702600332362
92801266070855
10816412996850
11295269942200
12112287089042
135bcab474b29
142b72c0c24ca
15163841b7335
hexbe1601b4f2

816412996850 has 36 divisors (see below), whose sum is σ = 1669126021962. Its totient is φ = 296877451200.

The previous prime is 816412996837. The next prime is 816412996891. The reversal of 816412996850 is 58699214618.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 693444249289 + 122968747561 = 832733^2 + 350669^2 .

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 816412996850.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67466099 + ... + 67478198.

Almost surely, 2816412996850 is an apocalyptic number.

816412996850 is an abundant number, since it is smaller than the sum of its proper divisors (852713025112).

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

816412996850 is a wasteful number, since it uses less digits than its factorization.

816412996850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134944331 (or 134944315 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 59.

The spelling of 816412996850 in words is "eight hundred sixteen billion, four hundred twelve million, nine hundred ninety-six thousand, eight hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 242 275 550 605 1210 3025 6050 134944297 269888594 674721485 1349442970 1484387267 2968774534 3373607425 6747214850 7421936335 14843872670 16328259937 32656519874 37109681675 74219363350 81641299685 163282599370 408206498425 816412996850