Search a number
-
+
3086671375872 = 29327791211303
BaseRepresentation
bin101100111010101011111…
…100110110111000000000
3101221002020102202100200100
4230322223330312320000
5401033000333011442
610321555223522400
7436001410540110
oct54725374667000
911832212670610
103086671375872
11a90060582237
1241a273bb9400
131950c1b5a1b6
14a9577ac7040
155545876684c
hex2ceabf36e00

3086671375872 has 240 divisors, whose sum is σ = 10309844413440. Its totient is φ = 870742020096.

The previous prime is 3086671375829. The next prime is 3086671375889. The reversal of 3086671375872 is 2785731766803.

3086671375872 is a `hidden beast` number, since 30 + 8 + 6 + 6 + 7 + 13 + 7 + 587 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942573 + ... + 3153875.

It is an arithmetic number, because the mean of its divisors is an integer number (42957685056).

Almost surely, 23086671375872 is an apocalyptic number.

3086671375872 is a gapful number since it is divisible by the number (32) 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 3086671375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154922206720).

3086671375872 is an abundant number, since it is smaller than the sum of its proper divisors (7223173037568).

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

3086671375872 is a wasteful number, since it uses less digits than its factorization.

3086671375872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211413 (or 1211394 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 3086671375872 in words is "three trillion, eighty-six billion, six hundred seventy-one million, three hundred seventy-five thousand, eight hundred seventy-two".