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6157259742 = 2331191263659
BaseRepresentation
bin1011011110000000…
…00101001111011110
3120220002222012111010
411233000011033132
5100102224302432
62454551240050
7305403562404
oct55700051736
916802865433
106157259742
11267a681417
12123a079026
1377183a17a
14425a67474
1526084d3cc
hex16f0053de

6157259742 has 64 divisors (see below), whose sum is σ = 12846366720. Its totient is φ = 1965314400.

The previous prime is 6157259653. The next prime is 6157259749. The reversal of 6157259742 is 2479527516.

It is a junction number, because it is equal to n+sod(n) for n = 6157259691 and 6157259700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157259749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9343009 + ... + 9343667.

It is an arithmetic number, because the mean of its divisors is an integer number (200724480).

Almost surely, 26157259742 is an apocalyptic number.

6157259742 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

6157259742 is an abundant number, since it is smaller than the sum of its proper divisors (6689106978).

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

6157259742 is a wasteful number, since it uses less digits than its factorization.

6157259742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149.

The product of its digits is 1058400, while the sum is 48.

The square root of 6157259742 is about 78468.2084796129. The cubic root of 6157259742 is about 1832.8594295171.

The spelling of 6157259742 in words is "six billion, one hundred fifty-seven million, two hundred fifty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 31 62 93 186 191 263 382 526 573 659 789 1146 1318 1578 1977 3954 5921 8153 11842 16306 17763 20429 24459 35526 40858 48918 50233 61287 100466 122574 125869 150699 173317 251738 301398 346634 377607 519951 755214 1039902 1557223 3114446 3901939 4671669 5372827 7803878 9343338 10745654 11705817 16118481 23411634 32236962 33103547 66207094 99310641 198621282 1026209957 2052419914 3078629871 6157259742