Search a number
-
+
1683346044996 = 223271117531076299
BaseRepresentation
bin11000011111101111001…
…111100011100001000100
312221221000021120020210200
4120133233033203201010
5210034443041414441
63325152443450500
7232421612203620
oct30375717434104
95857007506720
101683346044996
115999a2a59710
122322b1226a30
13c297b342325
145b68d9ca180
152dbc36ed7b6
hex187ef3e3844

1683346044996 has 576 divisors, whose sum is σ = 5777543116800. Its totient is φ = 399911915520.

The previous prime is 1683346044937. The next prime is 1683346045037. The reversal of 1683346044996 is 6994406433861.

1683346044996 is a `hidden beast` number, since 1 + 6 + 83 + 3 + 4 + 60 + 4 + 499 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267237055 + ... + 267243353.

It is an arithmetic number, because the mean of its divisors is an integer number (10030456800).

Almost surely, 21683346044996 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 1683346044996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888771558400).

1683346044996 is an abundant number, since it is smaller than the sum of its proper divisors (4094197071804).

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

1683346044996 is a wasteful number, since it uses less digits than its factorization.

1683346044996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 1683346044996 in words is "one trillion, six hundred eighty-three billion, three hundred forty-six million, forty-four thousand, nine hundred ninety-six".