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642315513246 = 231131313937201
BaseRepresentation
bin10010101100011001111…
…11001110110110011110
32021101221001221212000120
421112030333032312132
541010430232410441
61211024202335410
764256114531211
oct11261477166636
92241831855016
10642315513246
1122844a3a8a50
12a459a1ba566
1348754657044
142313419b778
1511a94c8c966
hex958cfced9e

642315513246 has 32 divisors (see below), whose sum is σ = 1446622626816. Its totient is φ = 188362320000.

The previous prime is 642315513221. The next prime is 642315513263.

642315513246 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6423155132463 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642315513198 and 642315513207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156966555 + ... + 156970646.

It is an arithmetic number, because the mean of its divisors is an integer number (45206957088).

Almost surely, 2642315513246 is an apocalyptic number.

642315513246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642315513246 is an abundant number, since it is smaller than the sum of its proper divisors (804307113570).

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

642315513246 is a wasteful number, since it uses less digits than its factorization.

642315513246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313937248.

The product of its digits is 518400, while the sum is 42.

The spelling of 642315513246 in words is "six hundred forty-two billion, three hundred fifteen million, five hundred thirteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 313937201 627874402 941811603 1883623206 3453309211 6906618422 9732053231 10359927633 19464106462 20719855266 29196159693 58392319386 107052585541 214105171082 321157756623 642315513246