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68869274000 = 2453101340937
BaseRepresentation
bin100000000100011101…
…1011011100110010000
320120202121200121101212
41000020323123212100
52112021013232000
651345455315252
74655434112252
oct1001073334620
9216677617355
1068869274000
1127230a0097a
121142021bb28
1366570c9407
143494799cd2
151bd120ac35
hex1008edb990

68869274000 has 80 divisors (see below), whose sum is σ = 168175169136. Its totient is φ = 27274880000.

The previous prime is 68869273999. The next prime is 68869274083. The reversal of 68869274000 is 47296886.

It can be written as a sum of positive squares in 8 ways, for example, as 15349227664 + 53520046336 = 123892^2 + 231344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 68869274000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31532 + ... + 372468.

Almost surely, 268869274000 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 68869274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84087584568).

68869274000 is an abundant number, since it is smaller than the sum of its proper divisors (99305895136).

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

68869274000 is a wasteful number, since it uses less digits than its factorization.

68869274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341061 (or 341045 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 68869274000 in words is "sixty-eight billion, eight hundred sixty-nine million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 101000 202000 340937 681874 1363748 1704685 2727496 3409370 5454992 6818740 8523425 13637480 17046850 27274960 34093700 34434637 42617125 68187400 68869274 85234250 136374800 137738548 170468500 172173185 275477096 340937000 344346370 550954192 681874000 688692740 860865925 1377385480 1721731850 2754770960 3443463700 4304329625 6886927400 8608659250 13773854800 17217318500 34434637000 68869274000