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335342052864 = 29387131097
BaseRepresentation
bin1001110000100111111…
…00011010011000000000
31012001120120020100000000
410320103330122120000
520443240031142424
6414015400000000
733141042263340
oct4702374323000
91161516210000
10335342052864
1111a243934755
1254ba9460000
1325812b85420
1412332c4ad20
158aca2a83c9
hex4e13f1a600

335342052864 has 720 divisors, whose sum is σ = 1238041572768. Its totient is φ = 88361238528.

The previous prime is 335342052821. The next prime is 335342052953. The reversal of 335342052864 is 468250243533.

335342052864 is a `hidden beast` number, since 3 + 3 + 534 + 2 + 0 + 52 + 8 + 64 = 666.

It is a super-2 number, since 2×3353420528642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 305689564 + ... + 305690660.

Almost surely, 2335342052864 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 335342052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619020786384).

335342052864 is an abundant number, since it is smaller than the sum of its proper divisors (902699519904).

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

335342052864 is an frugal number, since it uses more digits than its factorization.

335342052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 335342052864 in words is "three hundred thirty-five billion, three hundred forty-two million, fifty-two thousand, eight hundred sixty-four".