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426111465780 = 22345711132172941
BaseRepresentation
bin1100011001101100011…
…10001111100100110100
31111201212102220021020000
412030312032033210310
523440134013401110
6523430343311300
742533303461260
oct6146616174464
91451772807200
10426111465780
111547928a5090
126a6bba4b530
133124a20b300
14168a3dd10a0
15b13de691c0
hex633638f934

426111465780 has 2880 divisors, whose sum is σ = 2024883463680. Its totient is φ = 72459878400.

The previous prime is 426111465779. The next prime is 426111465799. The reversal of 426111465780 is 87564111624.

426111465780 is a `hidden beast` number, since 4 + 2 + 6 + 111 + 465 + 78 + 0 = 666.

It is a super-2 number, since 2×4261114657802 (a number of 24 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 polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 10392962560 + ... + 10392962600.

It is an arithmetic number, because the mean of its divisors is an integer number (703084536).

Almost surely, 2426111465780 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 426111465780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012441731840).

426111465780 is an abundant number, since it is smaller than the sum of its proper divisors (1598771997900).

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

426111465780 is a wasteful number, since it uses less digits than its factorization.

426111465780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 426111465780 in words is "four hundred twenty-six billion, one hundred eleven million, four hundred sixty-five thousand, seven hundred eighty".