Search a number
-
+
1081944864 = 253571113139
BaseRepresentation
bin100000001111101…
…0010101100100000
32210101212111100000
41000133102230200
54203434213424
6255205500000
735545244130
oct10037225440
92711774300
101081944864
11505803210
12262411600
131431cb880
14a399cac0
1564ebb3c9
hex407d2b20

1081944864 has 576 divisors, whose sum is σ = 4314885120. Its totient is φ = 257541120.

The previous prime is 1081944839. The next prime is 1081944883. The reversal of 1081944864 is 4684491801.

1081944864 is a `hidden beast` number, since 1 + 0 + 81 + 94 + 486 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783707 + ... + 7783845.

It is an arithmetic number, because the mean of its divisors is an integer number (7491120).

Almost surely, 21081944864 is an apocalyptic number.

1081944864 is a gapful number since it is divisible by the number (14) 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 1081944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157442560).

1081944864 is an abundant number, since it is smaller than the sum of its proper divisors (3232940256).

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

1081944864 is a wasteful number, since it uses less digits than its factorization.

1081944864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1081944864 is about 32892.9303042462. The cubic root of 1081944864 is about 1026.6010636292.

The spelling of 1081944864 in words is "one billion, eighty-one million, nine hundred forty-four thousand, eight hundred sixty-four".