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3530074440640 = 2651189137233353
BaseRepresentation
bin110011010111101000110…
…101010100001111000000
3110111110201221211212102111
4303113220311110033000
5430314043024100030
611301405510225104
7513016351442416
oct63275065241700
913443657755374
103530074440640
111141106aa15a0
1249019a955194
131c7b665a7887
14c2bdc3c12b6
1561c5a7a762a
hex335e8d543c0

3530074440640 has 448 divisors, whose sum is σ = 9407558609280. Its totient is φ = 1251014082560.

The previous prime is 3530074440517. The next prime is 3530074440661. The reversal of 3530074440640 is 460444700353.

It is a happy number.

It is a super-2 number, since 2×35300744406402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3530074440593 and 3530074440602.

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, 10000210704 + ... + 10000211056.

Almost surely, 23530074440640 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 3530074440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703779304640).

3530074440640 is an abundant number, since it is smaller than the sum of its proper divisors (5877484168640).

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

3530074440640 is a wasteful number, since it uses less digits than its factorization.

3530074440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 3530074440640 in words is "three trillion, five hundred thirty billion, seventy-four million, four hundred forty thousand, six hundred forty".