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469868985432 = 2335731129472
BaseRepresentation
bin1101101011001100101…
…11111011110001011000
31122220210222101120200000
412311212113323301120
530144242430013212
6555504351013000
745642535323000
oct6654627736130
91586728346600
10469868985432
111712a787a270
127709220a160
13354018a3482
1418a55633000
15c35077a1dc
hex6d665fbc58

469868985432 has 1152 divisors, whose sum is σ = 1774543680000. Its totient is φ = 115328344320.

The previous prime is 469868985409. The next prime is 469868985503. The reversal of 469868985432 is 234589868964.

It is a happy number.

469868985432 is a `hidden beast` number, since 46 + 9 + 8 + 68 + 98 + 5 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9997212433 + ... + 9997212479.

It is an arithmetic number, because the mean of its divisors is an integer number (1540402500).

Almost surely, 2469868985432 is an apocalyptic number.

469868985432 is a gapful number since it is divisible by the number (42) 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 469868985432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887271840000).

469868985432 is an abundant number, since it is smaller than the sum of its proper divisors (1304674694568).

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

469868985432 is a wasteful number, since it uses less digits than its factorization.

469868985432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 99 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 469868985432 in words is "four hundred sixty-nine billion, eight hundred sixty-eight million, nine hundred eighty-five thousand, four hundred thirty-two".