Search a number
-
+
7163966040 = 2335711977993
BaseRepresentation
bin1101010110000000…
…10111001001011000
3200111021021011220120
412223000113021120
5104132433403130
63142512353240
7342346464240
oct65300271130
920437234816
107163966040
1130469657a0
12147b245820
138a228497a
144bd63cb20
152bde06910
hex1ab017258

7163966040 has 256 divisors, whose sum is σ = 27074718720. Its totient is φ = 1473085440.

The previous prime is 7163965993. The next prime is 7163966053. The reversal of 7163966040 is 406693617.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7163965983 and 7163966001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892284 + ... + 900276.

It is an arithmetic number, because the mean of its divisors is an integer number (105760620).

Almost surely, 27163966040 is an apocalyptic number.

7163966040 is a gapful number since it is divisible by the number (70) 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 7163966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537359360).

7163966040 is an abundant number, since it is smaller than the sum of its proper divisors (19910752680).

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

7163966040 is a wasteful number, since it uses less digits than its factorization.

7163966040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 7163966040 is about 84640.2152643765. The cubic root of 7163966040 is about 1927.7520463886.

The spelling of 7163966040 in words is "seven billion, one hundred sixty-three million, nine hundred sixty-six thousand, forty".