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132625030536 = 2334991206527
BaseRepresentation
bin111101110000100010…
…0010101110110001000
3110200022212101121120000
41323201010111312020
54133104001434121
6140532130403000
712403400105415
oct1734104256610
9420285347500
10132625030536
1151278410459
1221853a30460
13c67799c83b
1465c1d8510c
1536b353a526
hex1ee1115d88

132625030536 has 80 divisors (see below), whose sum is σ = 371849533440. Its totient is φ = 44163519840.

The previous prime is 132625030529. The next prime is 132625030541. The reversal of 132625030536 is 635030526231.

132625030536 is a `hidden beast` number, since 1 + 32 + 62 + 5 + 0 + 30 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132625030536.

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 19 ways as a sum of consecutive naturals, for example, 538905 + ... + 745431.

It is an arithmetic number, because the mean of its divisors is an integer number (4648119168).

Almost surely, 2132625030536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132625030536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185924766720).

132625030536 is an abundant number, since it is smaller than the sum of its proper divisors (239224502904).

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

132625030536 is a wasteful number, since it uses less digits than its factorization.

132625030536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207536 (or 207523 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 132625030536 its reverse (635030526231), we get a palindrome (767655556767).

The spelling of 132625030536 in words is "one hundred thirty-two billion, six hundred twenty-five million, thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 991 1982 2973 3964 5946 7928 8919 11892 17838 23784 26757 35676 53514 71352 80271 107028 160542 206527 214056 321084 413054 619581 642168 826108 1239162 1652216 1858743 2478324 3717486 4956648 5576229 7434972 11152458 14869944 16728687 22304916 33457374 44609832 66914748 133829496 204668257 409336514 614004771 818673028 1228009542 1637346056 1842014313 2456019084 3684028626 4912038168 5526042939 7368057252 11052085878 14736114504 16578128817 22104171756 33156257634 44208343512 66312515268 132625030536