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426041603400 = 2335274433683
BaseRepresentation
bin1100011001100100000…
…11101111010101001000
31111201200120102220001110
412030302003233111020
523440013122302100
6523415410050320
742531464610000
oct6146203572510
91451616386043
10426041603400
11154757418486
126a6a05799a0
13312388ba31a
1416898a07000
15b137c69250
hex63320ef548

426041603400 has 480 divisors, whose sum is σ = 1546578200160. Its totient is φ = 97013790720.

The previous prime is 426041603381. The next prime is 426041603411. The reversal of 426041603400 is 4306140624.

It is a super-2 number, since 2×4260416034002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 623779459 + ... + 623780141.

It is an arithmetic number, because the mean of its divisors is an integer number (3222037917).

Almost surely, 2426041603400 is an apocalyptic number.

426041603400 is a gapful number since it is divisible by the number (40) 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 426041603400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773289100080).

426041603400 is an abundant number, since it is smaller than the sum of its proper divisors (1120536596760).

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

426041603400 is a wasteful number, since it uses less digits than its factorization.

426041603400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 426041603400 in words is "four hundred twenty-six billion, forty-one million, six hundred three thousand, four hundred".