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2011156992 = 29331319231
BaseRepresentation
bin111011111011111…
…1101001000000000
312012011100100202000
41313313331020000
513104324010432
6531322024000
7100560360315
oct16767751000
95164310660
102011156992
11942278019
12481648000
13260882730
14151160d0c
15bb86857c
hex77dfd200

2011156992 has 480 divisors, whose sum is σ = 6984552960. Its totient is φ = 567336960.

The previous prime is 2011156963. The next prime is 2011157009. The reversal of 2011156992 is 2996511102.

2011156992 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 569 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64876017 + ... + 64876047.

It is an arithmetic number, because the mean of its divisors is an integer number (14551152).

Almost surely, 22011156992 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 2011156992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492276480).

2011156992 is an abundant number, since it is smaller than the sum of its proper divisors (4973395968).

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

2011156992 is a wasteful number, since it uses less digits than its factorization.

2011156992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 2011156992 is about 44845.9250322702. The cubic root of 2011156992 is about 1262.2595283852.

The spelling of 2011156992 in words is "two billion, eleven million, one hundred fifty-six thousand, nine hundred ninety-two".