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469492099440 = 2435713217211461
BaseRepresentation
bin1101101010011111110…
…10001110100101110000
31122212211201012210021120
412311033322032211300
530143004434140230
6555403125022240
745630311000010
oct6651772164560
91585751183246
10469492099440
11171124061241
1276ba7b54980
1335371795800
1418a1b567c40
15c32c630310
hex6d4fe8e970

469492099440 has 960 divisors, whose sum is σ = 1920279094272. Its totient is φ = 92587622400.

The previous prime is 469492099411. The next prime is 469492099493. The reversal of 469492099440 is 44990294964.

It is a super-3 number, since 3×4694920994403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1018420810 + ... + 1018421270.

Almost surely, 2469492099440 is an apocalyptic number.

469492099440 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 469492099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960139547136).

469492099440 is an abundant number, since it is smaller than the sum of its proper divisors (1450786994832).

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

469492099440 is a wasteful number, since it uses less digits than its factorization.

469492099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 469492099440 in words is "four hundred sixty-nine billion, four hundred ninety-two million, ninety-nine thousand, four hundred forty".