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4121041536 = 273417103227
BaseRepresentation
bin1111010110100010…
…0001101010000000
3101122012110121020000
43311220201222000
531414441312121
61520532120000
7204060163233
oct36550415200
911565417200
104121041536
111825247557
12970166000
13508a21721
142b146141a
15191bd4526
hexf5a21a80

4121041536 has 320 divisors, whose sum is σ = 13169407680. Its totient is φ = 1274683392.

The previous prime is 4121041523. The next prime is 4121041577. The reversal of 4121041536 is 6351401214.

It is a happy number.

4121041536 is a `hidden beast` number, since 4 + 1 + 210 + 415 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 18154255 + ... + 18154481.

It is an arithmetic number, because the mean of its divisors is an integer number (41154399).

Almost surely, 24121041536 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 4121041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584703840).

4121041536 is an abundant number, since it is smaller than the sum of its proper divisors (9048366144).

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

4121041536 is a wasteful number, since it uses less digits than its factorization.

4121041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4121041536 is about 64195.3388962158. The cubic root of 4121041536 is about 1603.2539943807.

The spelling of 4121041536 in words is "four billion, one hundred twenty-one million, forty-one thousand, five hundred thirty-six".