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469055421152640 = 273257317100913841
BaseRepresentation
bin110101010100110100111100…
…1110000011111110110000000
32021111210021000210010201110100
41222221221321300133312000
5442440001000303341030
64341333030303402400
7200541064412601000
oct15251517160376600
92244707023121410
10469055421152640
11126501317a9a113
12447360bb5b3400
1317195975bc3a6a
1483b8591368000
15393631bb4a360
hex1aa9a79c1fd80

469055421152640 has 1536 divisors, whose sum is σ = 2002107987360000. Its totient is φ = 100798751047680.

The previous prime is 469055421152609. The next prime is 469055421152663. The reversal of 469055421152640 is 46251124550964.

469055421152640 is a `hidden beast` number, since 4 + 6 + 9 + 0 + 5 + 5 + 421 + 152 + 64 + 0 = 666.

It is a super-2 number, since 2×4690554211526402 (a number of 30 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 191 ways as a sum of consecutive naturals, for example, 33888832120 + ... + 33888845960.

Almost surely, 2469055421152640 is an apocalyptic number.

469055421152640 is a gapful number since it is divisible by the number (40) 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 469055421152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001053993680000).

469055421152640 is an abundant number, since it is smaller than the sum of its proper divisors (1533052566207360).

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

469055421152640 is a wasteful number, since it uses less digits than its factorization.

469055421152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 469055421152640 in words is "four hundred sixty-nine trillion, fifty-five billion, four hundred twenty-one million, one hundred fifty-two thousand, six hundred forty".