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627084504048 = 243114269114329
BaseRepresentation
bin10010010000000010010…
…01100010101111110000
32012221121121010102021210
421020001021202233300
540233232113112143
61200024553120120
763206511223452
oct11100111425760
92187547112253
10627084504048
11221a43944342
12a16493b9040
1347197cb7572
14224cb4022d2
15114a2a46033
hex9201262bf0

627084504048 has 40 divisors (see below), whose sum is σ = 1619996648400. Its totient is φ = 209024510464.

The previous prime is 627084504047. The next prime is 627084504049. The reversal of 627084504048 is 840405480726.

It is an interprime number because it is at equal distance from previous prime (627084504047) and next prime (627084504049).

It is a super-2 number, since 2×6270845040482 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 627084503988 and 627084504006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627084504047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5427748 + ... + 5542076.

It is an arithmetic number, because the mean of its divisors is an integer number (40499916210).

Almost surely, 2627084504048 is an apocalyptic number.

It is an amenable number.

627084504048 is an abundant number, since it is smaller than the sum of its proper divisors (992912144352).

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

627084504048 is a wasteful number, since it uses less digits than its factorization.

627084504048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228609 (or 228603 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 627084504048 in words is "six hundred twenty-seven billion, eighty-four million, five hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 114269 114329 228538 228658 342807 342987 457076 457316 685614 685974 914152 914632 1371228 1371948 1828304 1829264 2742456 2743896 5484912 5487792 13064260501 26128521002 39192781503 52257042004 78385563006 104514084008 156771126012 209028168016 313542252024 627084504048