Search a number
-
+
157201140525 = 352111316389923
BaseRepresentation
bin1001001001100111101…
…0110000101100101101
3120000202121200100120220
42102121322300230231
510033421442444100
6200114530001553
714233406435022
oct2223172605455
9500677610526
10157201140525
1160739a44660
12265724162b9
1311a9344b860
147873d09549
154150dcaaa0
hex2499eb0b2d

157201140525 has 96 divisors (see below), whose sum is σ = 307220669952. Its totient is φ = 69923347200.

The previous prime is 157201140491. The next prime is 157201140539. The reversal of 157201140525 is 525041102751.

157201140525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157201140525 - 29 = 157201140013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1703214 + ... + 1793136.

It is an arithmetic number, because the mean of its divisors is an integer number (3200215312).

Almost surely, 2157201140525 is an apocalyptic number.

157201140525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157201140525 is a deficient number, since it is larger than the sum of its proper divisors (150019529427).

157201140525 is a wasteful number, since it uses less digits than its factorization.

157201140525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90123 (or 90118 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The spelling of 157201140525 in words is "one hundred fifty-seven billion, two hundred one million, one hundred forty thousand, five hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 143 163 165 195 275 325 429 489 715 815 825 975 1793 2119 2145 2445 3575 4075 5379 6357 8965 10595 10725 12225 23309 26895 31785 44825 52975 69927 89923 116545 134475 158925 269769 349635 449615 582725 989153 1168999 1348845 1748175 2248075 2967459 3506997 4945765 5844995 6744225 12858989 14657449 14837295 17534985 24728825 29224975 38576967 43972347 64294945 73287245 74186475 87674925 161231939 190546837 192884835 219861735 321474725 366436225 483695817 571640511 806159695 952734185 964424175 1099308675 2096015207 2418479085 2858202555 4030798475 4763670925 6288045621 10480076035 12092395425 14291012775 31440228105 52400380175 157201140525