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5684364972 = 22331113312383
BaseRepresentation
bin1010100101101000…
…01000011010101100
3112200011010122211000
411102310020122230
543120144134342
62340015400300
7260602206426
oct52264103254
915604118730
105684364972
1124577485a0
121127823090
136c7885590
143bcd29816
1523408b44c
hex152d086ac

5684364972 has 288 divisors, whose sum is σ = 17936916480. Its totient is φ = 1534723200.

The previous prime is 5684364947. The next prime is 5684364977. The reversal of 5684364972 is 2794634865.

5684364972 is a `hidden beast` number, since 568 + 4 + 3 + 6 + 4 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5684364977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14841493 + ... + 14841875.

It is an arithmetic number, because the mean of its divisors is an integer number (62280960).

Almost surely, 25684364972 is an apocalyptic number.

5684364972 is a gapful number since it is divisible by the number (52) 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 5684364972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968458240).

5684364972 is an abundant number, since it is smaller than the sum of its proper divisors (12252551508).

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

5684364972 is a wasteful number, since it uses less digits than its factorization.

5684364972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 443 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 5684364972 is about 75394.7277467065. The cubic root of 5684364972 is about 1784.6812113420.

The spelling of 5684364972 in words is "five billion, six hundred eighty-four million, three hundred sixty-four thousand, nine hundred seventy-two".