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6142152512 = 263147199331
BaseRepresentation
bin1011011100001100…
…11100111101000000
3120212001112200021002
411232012130331000
5100034342340022
62453251351132
7305131302116
oct55606347500
916761480232
106142152512
1126720a3101
121234bb24a8
1376b67aa92
14423a53ab6
1525e367092
hex16e19cf40

6142152512 has 112 divisors (see below), whose sum is σ = 12952780800. Its totient is φ = 2885414400.

The previous prime is 6142152509. The next prime is 6142152529. The reversal of 6142152512 is 2152512416.

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, 18556187 + ... + 18556517.

Almost surely, 26142152512 is an apocalyptic number.

6142152512 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476390400).

6142152512 is an abundant number, since it is smaller than the sum of its proper divisors (6810628288).

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

6142152512 is a wasteful number, since it uses less digits than its factorization.

6142152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 6142152512 is about 78371.8859796037. The cubic root of 6142152512 is about 1831.3591893146.

Adding to 6142152512 its reverse (2152512416), we get a palindrome (8294664928).

The spelling of 6142152512 in words is "six billion, one hundred forty-two million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 188 199 248 331 376 398 496 662 752 796 992 1324 1457 1504 1592 1984 2648 2914 3008 3184 5296 5828 6169 6368 9353 10261 10592 11656 12338 12736 15557 18706 20522 21184 23312 24676 31114 37412 41044 46624 49352 62228 65869 74824 82088 93248 98704 124456 131738 149648 164176 197408 248912 263476 289943 299296 328352 394816 482267 497824 526952 579886 598592 656704 964534 995648 1053904 1159772 1929068 2041939 2107808 2319544 3095843 3858136 4083878 4215616 4639088 6191686 7716272 8167756 9278176 12383372 15432544 16335512 18556352 24766744 30865088 32671024 49533488 65342048 95971133 99066976 130684096 191942266 198133952 383884532 767769064 1535538128 3071076256 6142152512