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628510489152 = 2637132910312043
BaseRepresentation
bin10010010010101100010…
…01001111101001000000
32020002021222100222002220
421021112021033221000
540244142141123102
61200422253011040
763260035003440
oct11112611175100
92202258328086
10628510489152
11222605871027
12a1986a83a80
1347364563730
14225c495a120
1511537d201bc
hex925624fa40

628510489152 has 448 divisors, whose sum is σ = 2137996922880. Its totient is φ = 158478114816.

The previous prime is 628510489147. The next prime is 628510489171. The reversal of 628510489152 is 251984015826.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 628510489095 and 628510489104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52182843 + ... + 52194885.

It is an arithmetic number, because the mean of its divisors is an integer number (4772314560).

Almost surely, 2628510489152 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 628510489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068998461440).

628510489152 is an abundant number, since it is smaller than the sum of its proper divisors (1509486433728).

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

628510489152 is a wasteful number, since it uses less digits than its factorization.

628510489152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12210 (or 12200 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 628510489152 in words is "six hundred twenty-eight billion, five hundred ten million, four hundred eighty-nine thousand, one hundred fifty-two".