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155252120232 = 233112343594617
BaseRepresentation
bin1001000010010110111…
…1110101101010101000
3112211201210020212101010
42100211233311222220
510020424020321412
6155153303423520
714134202151066
oct2204557655250
9484653225333
10155252120232
115a929857890
1226109754ba0
1311842713801
14772b121036
154089c3833c
hex2425bf5aa8

155252120232 has 128 divisors (see below), whose sum is σ = 452099957760. Its totient is φ = 43954014720.

The previous prime is 155252120227. The next prime is 155252120263. The reversal of 155252120232 is 232021252551.

155252120232 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 155252120232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36213 + ... + 558404.

It is an arithmetic number, because the mean of its divisors is an integer number (3532030920).

Almost surely, 2155252120232 is an apocalyptic number.

155252120232 is a gapful number since it is divisible by the number (12) 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 155252120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226049978880).

155252120232 is an abundant number, since it is smaller than the sum of its proper divisors (296847837528).

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

155252120232 is a wasteful number, since it uses less digits than its factorization.

155252120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594703 (or 594699 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 155252120232 its reverse (232021252551), we get a palindrome (387273372783).

The spelling of 155252120232 in words is "one hundred fifty-five billion, two hundred fifty-two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 43 44 46 66 69 86 88 92 129 132 138 172 184 253 258 264 276 344 473 506 516 552 759 946 989 1012 1032 1419 1518 1892 1978 2024 2838 2967 3036 3784 3956 5676 5934 6072 7912 10879 11352 11868 21758 23736 32637 43516 65274 87032 130548 261096 594617 1189234 1783851 2378468 3567702 4756936 6540787 7135404 13081574 13676191 14270808 19622361 25568531 26163148 27352382 39244722 41028573 51137062 52326296 54704764 76705593 78489444 82057146 102274124 109409528 150438101 153411186 156978888 164114292 204548248 281253841 300876202 306822372 328228584 451314303 562507682 588076213 601752404 613644744 843761523 902628606 1125015364 1176152426 1203504808 1687523046 1764228639 1805257212 2250030728 2352304852 3375046092 3528457278 3610514424 4704609704 6468838343 6750092184 7056914556 12937676686 14113829112 19406515029 25875353372 38813030058 51750706744 77626060116 155252120232