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13637006742 = 235342883669
BaseRepresentation
bin11001011001101010…
…00011010110010110
31022012101102201102210
430230311003112112
5210412033203432
610133104214250
7661636434102
oct145465032626
938171381383
1013637006742
11586880a007
12278700a386
131394356878
149351c6902
1554c32e8cc
hex32cd43596

13637006742 has 16 divisors (see below), whose sum is σ = 27788618160. Its totient is φ = 4459901472.

The previous prime is 13637006737. The next prime is 13637006783. The reversal of 13637006742 is 24760073631.

13637006742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13637006742.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21441517 + ... + 21442152.

It is an arithmetic number, because the mean of its divisors is an integer number (1736788635).

Almost surely, 213637006742 is an apocalyptic number.

13637006742 is an abundant number, since it is smaller than the sum of its proper divisors (14151611418).

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

13637006742 is a wasteful number, since it uses less digits than its factorization.

13637006742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42883727.

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 13637006742 in words is "thirteen billion, six hundred thirty-seven million, six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 53 106 159 318 42883669 85767338 128651007 257302014 2272834457 4545668914 6818503371 13637006742