Search a number
-
+
9228071562048 = 263517314672411
BaseRepresentation
bin1000011001001001001111…
…1011010110101101000000
31012200012021011200121200000
42012102103323112231000
52202143042304441143
631343152331400000
71641464134030113
oct206222373265500
935605234617600
109228071562048
112a3866a904389
1210505665b3000
1351c284b943c1
1423c8d906457a
1511009b300bd3
hex86493ed6b40

9228071562048 has 672 divisors, whose sum is σ = 30057353883648. Its totient is φ = 2794532659200.

The previous prime is 9228071562029. The next prime is 9228071562139. The reversal of 9228071562048 is 8402651708229.

9228071562048 is a `hidden beast` number, since 9 + 2 + 2 + 8 + 0 + 7 + 1 + 5 + 620 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9228071561985 and 9228071562003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3827485963 + ... + 3827488373.

It is an arithmetic number, because the mean of its divisors is an integer number (44728205184).

Almost surely, 29228071562048 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 9228071562048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028676941824).

9228071562048 is an abundant number, since it is smaller than the sum of its proper divisors (20829282321600).

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

9228071562048 is a wasteful number, since it uses less digits than its factorization.

9228071562048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 9228071562048 in words is "nine trillion, two hundred twenty-eight billion, seventy-one million, five hundred sixty-two thousand, forty-eight".