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1056365223540 = 22351119475413313
BaseRepresentation
bin11110101111101000100…
…01100001111001110100
310201222122220112110021220
433113310101201321310
5114301413444123130
62125142032510340
7136214500150554
oct17276421417164
93658586473256
101056365223540
113780026a1670
121508926ab3b0
13787cb98a813
14391b2297164
151c729d38410
hexf5f4461e74

1056365223540 has 384 divisors, whose sum is σ = 3476270407680. Its totient is φ = 236937830400.

The previous prime is 1056365223517. The next prime is 1056365223671. The reversal of 1056365223540 is 453225636501.

It is a happy number.

It is a super-2 number, since 2×10563652235402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056365223492 and 1056365223501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318852924 + ... + 318856236.

It is an arithmetic number, because the mean of its divisors is an integer number (9052787520).

Almost surely, 21056365223540 is an apocalyptic number.

1056365223540 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 1056365223540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738135203840).

1056365223540 is an abundant number, since it is smaller than the sum of its proper divisors (2419905184140).

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

1056365223540 is a wasteful number, since it uses less digits than its factorization.

1056365223540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 1056365223540 in words is "one trillion, fifty-six billion, three hundred sixty-five million, two hundred twenty-three thousand, five hundred forty".