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151641461730 = 235112818231987
BaseRepresentation
bin1000110100111010001…
…0010001001111100010
3112111102011011102001110
42031032202101033202
54441030203233410
6153355122444150
713645550104653
oct2151642211742
9474364142043
10151641461730
11593467196a0
1225480503656
13113b86711a5
1474a779952a
153e27c6d720
hex234e8913e2

151641461730 has 128 divisors (see below), whose sum is σ = 399122712576. Its totient is φ = 36567820800.

The previous prime is 151641461707. The next prime is 151641461749. The reversal of 151641461730 is 37164146151.

It is a super-2 number, since 2×1516414617302 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 76315797 + ... + 76317783.

It is an arithmetic number, because the mean of its divisors is an integer number (3118146192).

Almost surely, 2151641461730 is an apocalyptic number.

151641461730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151641461730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199561356288).

151641461730 is an abundant number, since it is smaller than the sum of its proper divisors (247481250846).

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

151641461730 is a wasteful number, since it uses less digits than its factorization.

151641461730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 151641461730 in words is "one hundred fifty-one billion, six hundred forty-one million, four hundred sixty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 281 330 562 823 843 1405 1646 1686 1987 2469 2810 3091 3974 4115 4215 4938 5961 6182 8230 8430 9053 9273 9935 11922 12345 15455 18106 18546 19870 21857 24690 27159 29805 30910 43714 45265 46365 54318 59610 65571 90530 92730 109285 131142 135795 218570 231263 271590 327855 462526 558347 655710 693789 1116694 1156315 1387578 1635301 1675041 2312630 2543893 2791735 3270602 3350082 3468945 4905903 5087786 5583470 6141817 6937890 7631679 8176505 8375205 9811806 12283634 12719465 15263358 16353010 16750410 17988311 18425451 24529515 25438930 30709085 35976622 36850902 38158395 49059030 53964933 61418170 76316790 89941555 92127255 107929866 179883110 184254510 269824665 459519581 539649330 919039162 1378558743 2297597905 2757117486 4595195810 5054715391 6892793715 10109430782 13785587430 15164146173 25273576955 30328292346 50547153910 75820730865 151641461730