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4714951680 = 21034511369
BaseRepresentation
bin1000110010000100…
…00111010000000000
3110011121000100210000
410121002013100000
534124011423210
62055505440000
7224561266545
oct43102072000
913147010700
104714951680
111aaa515a8a
12ab7040000
135a1a9744a
1432a2a0bcc
151c8decac0
hex119087400

4714951680 has 220 divisors, whose sum is σ = 16897207140. Its totient is φ = 1257209856.

The previous prime is 4714951651. The next prime is 4714951691. The reversal of 4714951680 is 861594174.

4714951680 is a `hidden beast` number, since 4 + 71 + 495 + 16 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2203739136 + 2511212544 = 46944^2 + 50112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409036 + ... + 420404.

It is an arithmetic number, because the mean of its divisors is an integer number (76805487).

Almost surely, 24714951680 is an apocalyptic number.

4714951680 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 4714951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448603570).

4714951680 is an abundant number, since it is smaller than the sum of its proper divisors (12182255460).

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

4714951680 is a wasteful number, since it uses less digits than its factorization.

4714951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4714951680 is about 68665.5057507043. The cubic root of 4714951680 is about 1676.8430509701.

The spelling of 4714951680 in words is "four billion, seven hundred fourteen million, nine hundred fifty-one thousand, six hundred eighty".