Search a number
-
+
11519044992 = 273471329421
BaseRepresentation
bin10101011101001011…
…01010110110000000
31002201210010010010000
422232211222312000
5142042333414432
65143005040000
7555311160360
oct125645526600
932653103100
1011519044992
114981222aa4
122295856000
13111761a270
147b3bc29a0
1547641a57c
hex2ae96ad80

11519044992 has 640 divisors, whose sum is σ = 43749921600. Its totient is φ = 2926264320.

The previous prime is 11519044991. The next prime is 11519044993. The reversal of 11519044992 is 29944091511.

11519044992 is a `hidden beast` number, since 1 + 1 + 519 + 0 + 4 + 49 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (11519044991) and next prime (11519044993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11519044991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27360942 + ... + 27361362.

Almost surely, 211519044992 is an apocalyptic number.

11519044992 is a gapful number since it is divisible by the number (12) 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 11519044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21874960800).

11519044992 is an abundant number, since it is smaller than the sum of its proper divisors (32230876608).

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

11519044992 is a wasteful number, since it uses less digits than its factorization.

11519044992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11519044992 in words is "eleven billion, five hundred nineteen million, forty-four thousand, nine hundred ninety-two".