Search a number
-
+
649021675008 = 2937234615693
BaseRepresentation
bin10010111000111001011…
…01001101011000000000
32022001020102210011112010
421130130231031120000
541113144022100013
61214053442532520
764614235133220
oct11343455153000
92261212704463
10649021675008
112302808a75a3
12a5950067140
1349282b0b9b5
14235acaaa080
1511d388b37c3
hex971cb4d600

649021675008 has 320 divisors, whose sum is σ = 2066789716992. Its totient is φ = 176956538880.

The previous prime is 649021674967. The next prime is 649021675087. The reversal of 649021675008 is 800576120946.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 114000610 + ... + 114006302.

Almost surely, 2649021675008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649021675008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033394858496).

649021675008 is an abundant number, since it is smaller than the sum of its proper divisors (1417768041984).

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

649021675008 is a wasteful number, since it uses less digits than its factorization.

649021675008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 649021675008 in words is "six hundred forty-nine billion, twenty-one million, six hundred seventy-five thousand, eight".