Search a number
-
+
45843921960000 = 263544310981509
BaseRepresentation
bin10100110110001110111101…
…01011101111110001000000
320000022122011202002121220120
422123013132223233301000
522002101323010210000
6241300223525140240
712441054060104343
oct1233073653576100
9200278152077816
1045843921960000
1113675330885a1a
125184a3885a680
131c770a9087128
14b46c015d245a
1554778b6c46a0
hex29b1deaefc40

45843921960000 has 560 divisors, whose sum is σ = 156520418683200. Its totient is φ = 11831049216000.

The previous prime is 45843921959989. The next prime is 45843921960047. The reversal of 45843921960000 is 6912934854.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 562399246 + ... + 562480754.

Almost surely, 245843921960000 is an apocalyptic number.

45843921960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45843921960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78260209341600).

45843921960000 is an abundant number, since it is smaller than the sum of its proper divisors (110676496723200).

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

45843921960000 is a wasteful number, since it uses less digits than its factorization.

45843921960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81696 (or 81671 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 45843921960000 in words is "forty-five trillion, eight hundred forty-three billion, nine hundred twenty-one million, nine hundred sixty thousand".