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426768323436 = 22327132927716217
BaseRepresentation
bin1100011010111010101…
…11111101001101101100
31111210120012220002112100
412031131113331031230
523443010142322221
6524015450135100
742555500616210
oct6153527751554
91453505802470
10426768323436
11154a9a657a54
126a863a21490
1331323323790
1416927338940
15b17b968926
hex635d5fd36c

426768323436 has 288 divisors, whose sum is σ = 1378550759040. Its totient is φ = 108274102272.

The previous prime is 426768323419. The next prime is 426768323461. The reversal of 426768323436 is 634323867624.

426768323436 is a `hidden beast` number, since 4 + 267 + 6 + 8 + 32 + 343 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26308000 + ... + 26324216.

It is an arithmetic number, because the mean of its divisors is an integer number (4786634580).

Almost surely, 2426768323436 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 426768323436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689275379520).

426768323436 is an abundant number, since it is smaller than the sum of its proper divisors (951782435604).

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

426768323436 is a wasteful number, since it uses less digits than its factorization.

426768323436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16553 (or 16548 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 426768323436 in words is "four hundred twenty-six billion, seven hundred sixty-eight million, three hundred twenty-three thousand, four hundred thirty-six".