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469041437956 = 2272132532712
BaseRepresentation
bin1101101001101010000…
…11000101110100000100
31122211200022012210221111
412310311003011310010
530141044102003311
6555250305454404
745613166304100
oct6646503056404
91584608183844
10469041437956
11170a12733633
1276aa1041404
13352cc2c6a00
14189b7776900
15c302cb0d21
hex6d350c5d04

469041437956 has 243 divisors, whose sum is σ = 1068860741823. Its totient is φ = 179489681280.

The previous prime is 469041437929. The next prime is 469041438011. The reversal of 469041437956 is 659734140964.

The square root of 469041437956 is 684866.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12173591556 + 456867846400 = 110334^2 + 675920^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 469041437956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6606217401 + ... + 6606217471.

Almost surely, 2469041437956 is an apocalyptic number.

469041437956 is the 684866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469041437956

469041437956 is an abundant number, since it is smaller than the sum of its proper divisors (599819303867).

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

469041437956 is a wasteful number, since it uses less digits than its factorization.

469041437956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 469041437956 in words is "four hundred sixty-nine billion, forty-one million, four hundred thirty-seven thousand, nine hundred fifty-six".