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4499197626672 = 2434721931373251
BaseRepresentation
bin100000101111000110100…
…0100111000100100110000
3120221010012211002121220000
41001132031010320210300
51042203324043023142
613322523003350000
7643025211552600
oct101361504704460
916833184077800
104499197626672
11148510a848111
12607b84222300
13268370942298
14117a95b7ac00
157c07b44814c
hex4178d138930

4499197626672 has 1200 divisors, whose sum is σ = 16909704852480. Its totient is φ = 1146337920000.

The previous prime is 4499197626667. The next prime is 4499197626683. The reversal of 4499197626672 is 2766267919944.

It is a happy number.

4499197626672 is a `hidden beast` number, since 4 + 499 + 1 + 9 + 7 + 6 + 2 + 66 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4499197626672.

It is an unprimeable number.

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, 1383941047 + ... + 1383944297.

Almost surely, 24499197626672 is an apocalyptic number.

4499197626672 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 4499197626672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454852426240).

4499197626672 is an abundant number, since it is smaller than the sum of its proper divisors (12410507225808).

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

4499197626672 is a wasteful number, since it uses less digits than its factorization.

4499197626672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3350 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 4499197626672 in words is "four trillion, four hundred ninety-nine billion, one hundred ninety-seven million, six hundred twenty-six thousand, six hundred seventy-two".