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4012540992 = 263219223839
BaseRepresentation
bin1110111100101010…
…1000010001000000
3101100122022012110100
43233022220101000
531204202302432
61502054402400
7201302015145
oct35712502100
911318265410
104012540992
111779a7a489
1293b960400
134bc3c2a15
142a0c9a3cc
1518740107c
hexef2a8440

4012540992 has 252 divisors, whose sum is σ = 12681264960. Its totient is φ = 1210581504.

The previous prime is 4012540967. The next prime is 4012540999. The reversal of 4012540992 is 2990452104.

4012540992 is a `hidden beast` number, since 40 + 125 + 409 + 92 = 666.

It is a super-2 number, since 2×40125409922 = 32200970424960688128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4012540999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4782109 + ... + 4782947.

It is an arithmetic number, because the mean of its divisors is an integer number (50322480).

Almost surely, 24012540992 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 4012540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340632480).

4012540992 is an abundant number, since it is smaller than the sum of its proper divisors (8668723968).

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

4012540992 is a wasteful number, since it uses less digits than its factorization.

4012540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4012540992 is about 63344.6208608119. The cubic root of 4012540992 is about 1589.0582865503.

The spelling of 4012540992 in words is "four billion, twelve million, five hundred forty thousand, nine hundred ninety-two".