Search a number
-
+
628156435696608 = 253713971483499853
BaseRepresentation
bin1000111011010011100001000…
…1001101101000101111100000
310001101010011120001002212011110
42032310320101031220233200
51124313203340014242413
610103551025514343320
7246211543025635410
oct21664702115505740
93041104501085143
10628156435696608
11172171714a45495
125a550b1342ab40
1320c66b8938c160
14b118d10142640
154c94bcca968c3
hex23b4e11368be0

628156435696608 has 384 divisors, whose sum is σ = 2051737101775872. Its totient is φ = 163848830386176.

The previous prime is 628156435696583. The next prime is 628156435696609. The reversal of 628156435696608 is 806696534651826.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 628156435696608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628156435696609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256432410 + ... + 1256932262.

It is an arithmetic number, because the mean of its divisors is an integer number (5343065369208).

Almost surely, 2628156435696608 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 628156435696608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025868550887936).

628156435696608 is an abundant number, since it is smaller than the sum of its proper divisors (1423580666079264).

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

628156435696608 is a wasteful number, since it uses less digits than its factorization.

628156435696608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501466 (or 501458 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 75.

The spelling of 628156435696608 in words is "six hundred twenty-eight trillion, one hundred fifty-six billion, four hundred thirty-five million, six hundred ninety-six thousand, six hundred eight".