Search a number
-
+
628963099380 = 2232573111979617
BaseRepresentation
bin10010010011100010001…
…11110100001011110100
32020010110112000221121200
421021301013310023310
540301104023140010
61200535222012500
763304202064000
oct11116107641364
92203415027550
10628963099380
112228182aa870
12a1a92577130
1347407265535
1422628ad7700
1511562926cc0
hex92711f42f4

628963099380 has 1152 divisors, whose sum is σ = 2591447040000. Its totient is φ = 122049607680.

The previous prime is 628963099327. The next prime is 628963099417. The reversal of 628963099380 is 83990369826.

628963099380 is a `hidden beast` number, since 62 + 89 + 6 + 30 + 99 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1019388832 + ... + 1019389448.

It is an arithmetic number, because the mean of its divisors is an integer number (2249520000).

Almost surely, 2628963099380 is an apocalyptic number.

628963099380 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 628963099380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295723520000).

628963099380 is an abundant number, since it is smaller than the sum of its proper divisors (1962483940620).

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

628963099380 is a wasteful number, since it uses less digits than its factorization.

628963099380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 628963099380 in words is "six hundred twenty-eight billion, nine hundred sixty-three million, ninety-nine thousand, three hundred eighty".