Search a number
-
+
426196197504 = 27337112197997
BaseRepresentation
bin1100011001110110100…
…01011110000010000000
31111202002100100002022000
412030323101132002000
523440322211310004
6523443011344000
742535352622450
oct6147321360200
91452070302260
10426196197504
11154826708300
126a7242b2000
133126193731c
14168b1369d60
15b146604c39
hex633b45e080

426196197504 has 1536 divisors, whose sum is σ = 1701719040000. Its totient is φ = 102478970880.

The previous prime is 426196197473. The next prime is 426196197551. The reversal of 426196197504 is 405791691624.

426196197504 is a `hidden beast` number, since 4 + 2 + 6 + 19 + 619 + 7 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4393775184 + ... + 4393775280.

It is an arithmetic number, because the mean of its divisors is an integer number (1107890000).

Almost surely, 2426196197504 is an apocalyptic number.

426196197504 is a gapful number since it is divisible by the number (44) 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 426196197504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850859520000).

426196197504 is an abundant number, since it is smaller than the sum of its proper divisors (1275522842496).

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

426196197504 is a wasteful number, since it uses less digits than its factorization.

426196197504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 426196197504 in words is "four hundred twenty-six billion, one hundred ninety-six million, one hundred ninety-seven thousand, five hundred four".