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1661513742 = 23377161909
BaseRepresentation
bin110001100001000…
…1011000000001110
311021210102122101000
41203002023000032
511400321414432
6432512001130
756113430250
oct14302130016
94253378330
101661513742
11782976959
123a45301a6
132062c2a35
1411a947cd0
159ad0057c
hex6308b00e

1661513742 has 64 divisors (see below), whose sum is σ = 4279219200. Its totient is φ = 468024480.

The previous prime is 1661513723. The next prime is 1661513753. The reversal of 1661513742 is 2473151661.

1661513742 is a `hidden beast` number, since 1 + 6 + 615 + 1 + 37 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1661513697 and 1661513706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4117 + ... + 57792.

It is an arithmetic number, because the mean of its divisors is an integer number (66862800).

Almost surely, 21661513742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661513742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139609600).

1661513742 is an abundant number, since it is smaller than the sum of its proper divisors (2617705458).

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

1661513742 is a wasteful number, since it uses less digits than its factorization.

1661513742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61998 (or 61992 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1661513742 is about 40761.6700099493. The cubic root of 1661513742 is about 1184.4079465145.

The spelling of 1661513742 in words is "one billion, six hundred sixty-one million, five hundred thirteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 126 142 189 213 378 426 497 639 994 1278 1491 1917 2982 3834 4473 8946 13419 26838 61909 123818 185727 371454 433363 557181 866726 1114362 1300089 1671543 2600178 3343086 3900267 4395539 7800534 8791078 11700801 13186617 23401602 26373234 30768773 39559851 61537546 79119702 92306319 118679553 184612638 237359106 276918957 553837914 830756871 1661513742