Search a number
-
+
630091631400 = 2335271113638347
BaseRepresentation
bin10010010101101000110…
…00110100101100101000
32020020101011120022111220
421022310120310230220
540310411424201100
61201243214222040
763344154332550
oct11126430645450
92206334508456
10630091631400
11223247332660
12a21484b4920
1347556cc5c6a
14226d4942160
15115cba46aa0
hex92b4634b28

630091631400 has 192 divisors, whose sum is σ = 2435263418880. Its totient is φ = 130928121600.

The previous prime is 630091631333. The next prime is 630091631459. The reversal of 630091631400 is 4136190036.

It is a super-3 number, since 3×6300916314003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 6772974 + ... + 6865373.

It is an arithmetic number, because the mean of its divisors is an integer number (12683663640).

Almost surely, 2630091631400 is an apocalyptic number.

630091631400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630091631400 is an abundant number, since it is smaller than the sum of its proper divisors (1805171787480).

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

630091631400 is a wasteful number, since it uses less digits than its factorization.

630091631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13638384 (or 13638375 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 630091631400 in words is "six hundred thirty billion, ninety-one million, six hundred thirty-one thousand, four hundred".