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4245276672 = 211327132531
BaseRepresentation
bin1111110100001001…
…1100100000000000
3101221212020101210100
43331002130200000
532143242323142
61541131002400
7210126153630
oct37502344000
911855211710
104245276672
11188939121a
129a5899400
1352869c240
142c3b606c0
1519ca74b4c
hexfd09c800

4245276672 has 288 divisors, whose sum is σ = 15096594240. Its totient is φ = 1119191040.

The previous prime is 4245276671. The next prime is 4245276689. The reversal of 4245276672 is 2766725424.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4245276671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676047 + ... + 1678577.

It is an arithmetic number, because the mean of its divisors is an integer number (52418730).

Almost surely, 24245276672 is an apocalyptic number.

4245276672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548297120).

4245276672 is an abundant number, since it is smaller than the sum of its proper divisors (10851317568).

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

4245276672 is a wasteful number, since it uses less digits than its factorization.

4245276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2556 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 4245276672 is about 65155.7877091514. The cubic root of 4245276672 is about 1619.2056096084.

The spelling of 4245276672 in words is "four billion, two hundred forty-five million, two hundred seventy-six thousand, six hundred seventy-two".