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4866376900 = 225271119293137
BaseRepresentation
bin1001000100000111…
…10000010011000100
3110120010221120010111
410202003300103010
534431243030100
62122515202404
7231410343520
oct44203602304
913503846114
104866376900
112077a40aa0
12b398a6404
135c7274c78
1434243ad80
151d735e6ba
hex1220f04c4

4866376900 has 576 divisors, whose sum is σ = 15199027200. Its totient is φ = 1306368000.

The previous prime is 4866376861. The next prime is 4866376913. The reversal of 4866376900 is 96736684.

It is a super-2 number, since 2×48663769002 = 47363248265707220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131523682 + ... + 131523718.

It is an arithmetic number, because the mean of its divisors is an integer number (26387200).

Almost surely, 24866376900 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 4866376900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599513600).

4866376900 is an abundant number, since it is smaller than the sum of its proper divisors (10332650300).

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

4866376900 is a wasteful number, since it uses less digits than its factorization.

4866376900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The square root of 4866376900 is about 69759.4215859048. The cubic root of 4866376900 is about 1694.6053791383.

The spelling of 4866376900 in words is "four billion, eight hundred sixty-six million, three hundred seventy-six thousand, nine hundred".