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426225853350 = 23252111914533119
BaseRepresentation
bin1100011001111010000…
…10100110001110100110
31111202011102010202110200
412030331002212032212
523440402304301400
6523445551131330
742536162655603
oct6147502461646
91452142122420
10426225853350
11154841423170
126a732213b46
1331267b1b76b
14168b52896aa
15b149011b00
hex633d0a63a6

426225853350 has 288 divisors, whose sum is σ = 1316305036800. Its totient is φ = 97790457600.

The previous prime is 426225853303. The next prime is 426225853381. The reversal of 426225853350 is 53358522624.

426225853350 is a `hidden beast` number, since 4 + 2 + 62 + 2 + 5 + 8 + 533 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 426225853296 and 426225853305.

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 143 ways as a sum of consecutive naturals, for example, 136653091 + ... + 136656209.

It is an arithmetic number, because the mean of its divisors is an integer number (4570503600).

Almost surely, 2426225853350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426225853350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658152518400).

426225853350 is an abundant number, since it is smaller than the sum of its proper divisors (890079183450).

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

426225853350 is a wasteful number, since it uses less digits than its factorization.

426225853350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 426225853350 in words is "four hundred twenty-six billion, two hundred twenty-five million, eight hundred fifty-three thousand, three hundred fifty".