Search a number
-
+
10620495325440 = 283557211213443
BaseRepresentation
bin1001101010001100011011…
…0110011110100100000000
31101121022100120122201100000
42122203012312132210000
52343001233300403230
634330553241200000
72144206526523600
oct232430666364400
941538316581300
1010620495325440
11342514380aa00
1212363a6490000
135c067bc99b20
1428a06b394c00
151363e426eb60
hex9a8c6d9e900

10620495325440 has 3888 divisors, whose sum is σ = 52590952499904. Its totient is φ = 2032499589120.

The previous prime is 10620495325423. The next prime is 10620495325463. The reversal of 10620495325440 is 4452359402601.

10620495325440 is a `hidden beast` number, since 1 + 0 + 6 + 20 + 4 + 9 + 532 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×106204953254402 (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23974029859 + ... + 23974030301.

Almost surely, 210620495325440 is an apocalyptic number.

10620495325440 is a gapful number since it is divisible by the number (10) 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 10620495325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295476249952).

10620495325440 is an abundant number, since it is smaller than the sum of its proper divisors (41970457174464).

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

10620495325440 is a wasteful number, since it uses less digits than its factorization.

10620495325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 10620495325440 in words is "ten trillion, six hundred twenty billion, four hundred ninety-five million, three hundred twenty-five thousand, four hundred forty".