Search a number
-
+
628169773140 = 22325713293973331
BaseRepresentation
bin10010010010000011101…
…01100001000001010100
32020001102020020210121100
421021001311201001110
540242442430220030
61200324402150100
763245426654340
oct11110165410124
92201366223540
10628169773140
11222450508048
12a18b0952330
134730baab220
14225915c8620
1511517e6c360
hex9241d61054

628169773140 has 576 divisors, whose sum is σ = 2432876060160. Its totient is φ = 127606026240.

The previous prime is 628169773097. The next prime is 628169773207. The reversal of 628169773140 is 41377961826.

628169773140 is a `hidden beast` number, since 628 + 1 + 6 + 9 + 7 + 7 + 3 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188581275 + ... + 188584605.

It is an arithmetic number, because the mean of its divisors is an integer number (4223743160).

Almost surely, 2628169773140 is an apocalyptic number.

628169773140 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 628169773140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216438030080).

628169773140 is an abundant number, since it is smaller than the sum of its proper divisors (1804706287020).

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

628169773140 is a wasteful number, since it uses less digits than its factorization.

628169773140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 628169773140 in words is "six hundred twenty-eight billion, one hundred sixty-nine million, seven hundred seventy-three thousand, one hundred forty".