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5142362742 = 23211171527737
BaseRepresentation
bin1001100101000001…
…00011101001110110
3111021101021002112100
410302200203221312
541012421101432
62210134402530
7241301235126
oct46240435166
914241232470
105142362742
1121a9803270
12bb6200446
1363c4b54ba
1436ad5cc86
152016c807c
hex132823a76

5142362742 has 48 divisors (see below), whose sum is σ = 12869664912. Its totient is φ = 1466626560.

The previous prime is 5142362717. The next prime is 5142362767. The reversal of 5142362742 is 2472632415.

5142362742 is a `hidden beast` number, since 5 + 1 + 4 + 23 + 627 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5142362717) and next prime (5142362767).

It is a junction number, because it is equal to n+sod(n) for n = 5142362697 and 5142362706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760503 + ... + 767234.

It is an arithmetic number, because the mean of its divisors is an integer number (268118019).

Almost surely, 25142362742 is an apocalyptic number.

5142362742 is an abundant number, since it is smaller than the sum of its proper divisors (7727302170).

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

5142362742 is a wasteful number, since it uses less digits than its factorization.

5142362742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527773 (or 1527770 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 5142362742 is about 71710.2694319300. The cubic root of 5142362742 is about 1726.0534339300.

The spelling of 5142362742 in words is "five billion, one hundred forty-two million, three hundred sixty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 1527737 3055474 4583211 9166422 13749633 16805107 25971529 27499266 33610214 50415321 51943058 77914587 100830642 151245963 155829174 233743761 285686819 302491926 467487522 571373638 857060457 1714120914 2571181371 5142362742