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5233978678320 = 2434571491634751
BaseRepresentation
bin100110000101010000101…
…1100001001110000110000
3200112100210222021111220000
41030022201130021300300
51141223142020201240
615044242343350000
71050066604466220
oct114124134116060
920470728244800
105233978678320
111738799572697
12706468a52300
132bc73cb43052
1414147c476080
1591233c32430
hex4c2a1709c30

5233978678320 has 800 divisors, whose sum is σ = 21047467161600. Its totient is φ = 1180770048000.

The previous prime is 5233978678277. The next prime is 5233978678351. The reversal of 5233978678320 is 238768793325.

5233978678320 is a `hidden beast` number, since 5 + 233 + 9 + 7 + 8 + 6 + 78 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1101655945 + ... + 1101660695.

It is an arithmetic number, because the mean of its divisors is an integer number (26309333952).

Almost surely, 25233978678320 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 5233978678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523733580800).

5233978678320 is an abundant number, since it is smaller than the sum of its proper divisors (15813488483280).

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

5233978678320 is a wasteful number, since it uses less digits than its factorization.

5233978678320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 5233978678320 in words is "five trillion, two hundred thirty-three billion, nine hundred seventy-eight million, six hundred seventy-eight thousand, three hundred twenty".