Search a number
-
+
466014453948 = 223229429439867
BaseRepresentation
bin1101100100000001010…
…00000100000010111100
31122112212100102002111200
412302000220010002330
530113344200011243
6554030055015500
745445162333611
oct6620050040274
91575770362450
10466014453948
1116a6aa01275a
127639736a590
1334c39155204
14187ab748508
15c1c718bad3
hex6c80a040bc

466014453948 has 36 divisors (see below), whose sum is σ = 1178023686840. Its totient is φ = 155332519776.

The previous prime is 466014453893. The next prime is 466014453973. The reversal of 466014453948 is 849354410664.

466014453948 is a `hidden beast` number, since 4 + 6 + 60 + 1 + 4 + 4 + 539 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4660144539482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466014453894 and 466014453903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 839511 + ... + 1279377.

It is an arithmetic number, because the mean of its divisors is an integer number (32722880190).

Almost surely, 2466014453948 is an apocalyptic number.

It is an amenable number.

466014453948 is an abundant number, since it is smaller than the sum of its proper divisors (712009232892).

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

466014453948 is a wasteful number, since it uses less digits than its factorization.

466014453948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469306 (or 469301 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 466014453948 in words is "four hundred sixty-six billion, fourteen million, four hundred fifty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 29429 58858 88287 117716 176574 264861 353148 439867 529722 879734 1059444 1319601 1759468 2639202 3958803 5278404 7917606 15835212 12944845943 25889691886 38834537829 51779383772 77669075658 116503613487 155338151316 233007226974 466014453948