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4563402480 = 24325713172241
BaseRepresentation
bin1000011111111111…
…11111111011110000
3102210000211212100200
410033333333323300
533321212334410
62032453315200
7221041165260
oct41777777360
912700755320
104563402480
111a31a1590a
12a74335b00
13579575370
143140d17a0
151ba9643c0
hex10ffffef0

4563402480 has 720 divisors, whose sum is σ = 20120003904. Its totient is φ = 902430720.

The previous prime is 4563402457. The next prime is 4563402491. The reversal of 4563402480 is 842043654.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18935160 + ... + 18935400.

Almost surely, 24563402480 is an apocalyptic number.

4563402480 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 4563402480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10060001952).

4563402480 is an abundant number, since it is smaller than the sum of its proper divisors (15556601424).

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

4563402480 is a wasteful number, since it uses less digits than its factorization.

4563402480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4563402480 is about 67552.9605568846. The cubic root of 4563402480 is about 1658.6812092990.

The spelling of 4563402480 in words is "four billion, five hundred sixty-three million, four hundred two thousand, four hundred eighty".