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661491230400 = 263452711135099
BaseRepresentation
bin10011010000000111111…
…00110010011011000000
32100020102110110012210000
421220003330302123000
541314213223333100
61223515044440000
765535240454140
oct11500374623300
92306373405700
10661491230400
1123559a611080
12a82500a9000
134a4bc329140
1424032bd6920
1512318486900
hex9a03f326c0

661491230400 has 1680 divisors, whose sum is σ = 3265278508800. Its totient is φ = 126854553600.

The previous prime is 661491230369. The next prime is 661491230401. The reversal of 661491230400 is 4032194166.

661491230400 is a `hidden beast` number, since 6 + 6 + 14 + 9 + 1 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×6614912304002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (661491230401) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 129727051 + ... + 129732149.

It is an arithmetic number, because the mean of its divisors is an integer number (1943618160).

Almost surely, 2661491230400 is an apocalyptic number.

661491230400 is a gapful number since it is divisible by the number (60) 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 661491230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632639254400).

661491230400 is an abundant number, since it is smaller than the sum of its proper divisors (2603787278400).

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

661491230400 is a wasteful number, since it uses less digits than its factorization.

661491230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 661491230400 in words is "six hundred sixty-one billion, four hundred ninety-one million, two hundred thirty thousand, four hundred".