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4978718640 = 2432576591499
BaseRepresentation
bin1001010001100000…
…10011011110110000
3110211222100010000200
410220300103132300
540144022444030
62142011115200
7234243260460
oct45060233660
913758303020
104978718640
1121253a2005
12b6b442b00
1361461a17c
14353321ba0
151e2150d60
hex128c137b0

4978718640 has 240 divisors, whose sum is σ = 19150560000. Its totient is φ = 1135507968.

The previous prime is 4978718593. The next prime is 4978718663. The reversal of 4978718640 is 468178794.

It is a happy number.

4978718640 is a `hidden beast` number, since 497 + 8 + 71 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3320611 + ... + 3322109.

It is an arithmetic number, because the mean of its divisors is an integer number (79794000).

Almost surely, 24978718640 is an apocalyptic number.

4978718640 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 4978718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575280000).

4978718640 is an abundant number, since it is smaller than the sum of its proper divisors (14171841360).

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

4978718640 is a wasteful number, since it uses less digits than its factorization.

4978718640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4978718640 is about 70560.0357142767. The cubic root of 4978718640 is about 1707.5464556372.

The spelling of 4978718640 in words is "four billion, nine hundred seventy-eight million, seven hundred eighteen thousand, six hundred forty".