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4023216960 = 263574011493
BaseRepresentation
bin1110111111001101…
…0110101101000000
3101101101101121010120
43233303112231000
531214420420320
61503115300240
7201461531340
oct35763265500
911341347116
104023216960
1117850014a4
1294344a680
134c1690169
142a2478d20
1518830e440
hexefcd6b40

4023216960 has 224 divisors, whose sum is σ = 14644737792. Its totient is φ = 916684800.

The previous prime is 4023216863. The next prime is 4023216961. The reversal of 4023216960 is 696123204.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023216961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2693974 + ... + 2695466.

Almost surely, 24023216960 is an apocalyptic number.

4023216960 is a gapful number since it is divisible by the number (40) 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 4023216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322368896).

4023216960 is an abundant number, since it is smaller than the sum of its proper divisors (10621520832).

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

4023216960 is a wasteful number, since it uses less digits than its factorization.

4023216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4023216960 is about 63428.8338218511. The cubic root of 4023216960 is about 1590.4663479184.

The spelling of 4023216960 in words is "four billion, twenty-three million, two hundred sixteen thousand, nine hundred sixty".