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4270912992 = 25321753109151
BaseRepresentation
bin1111111010010000…
…1111010111100000
3102000122110212012200
43332210033113200
532221323203432
61543444253200
7210560106243
oct37644172740
912018425180
104270912992
1118a1901165
129b23a1200
13530aa6c68
142c731525a
1519ee3aa7c
hexfe90f5e0

4270912992 has 288 divisors, whose sum is σ = 13310256960. Its totient is φ = 1293926400.

The previous prime is 4270912981. The next prime is 4270912999. The reversal of 4270912992 is 2992190724.

4270912992 is a `hidden beast` number, since 4 + 270 + 91 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270912999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28284117 + ... + 28284267.

It is an arithmetic number, because the mean of its divisors is an integer number (46216170).

Almost surely, 24270912992 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 4270912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655128480).

4270912992 is an abundant number, since it is smaller than the sum of its proper divisors (9039343968).

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

4270912992 is a wasteful number, since it uses less digits than its factorization.

4270912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 4270912992 is about 65352.2225482806. Note that the first 3 decimals coincide. The cubic root of 4270912992 is about 1622.4584164277.

The spelling of 4270912992 in words is "four billion, two hundred seventy million, nine hundred twelve thousand, nine hundred ninety-two".