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132501006752 = 25411794331303
BaseRepresentation
bin111101101100110101…
…1001110100110100000
3110200000020000112220112
41323121223032212200
54132330224204002
6140511540230452
712400332655142
oct1733153164640
9420006015815
10132501006752
1151214400564
122181a39b428
13c65809729a
1465ad6dcc92
1536a76dc852
hex1ed9ace9a0

132501006752 has 96 divisors (see below), whose sum is σ = 269543998080. Its totient is φ = 64075898880.

The previous prime is 132501006731. The next prime is 132501006769. The reversal of 132501006752 is 257600105231.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 101688533 + ... + 101689835.

It is an arithmetic number, because the mean of its divisors is an integer number (2807749980).

Almost surely, 2132501006752 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 132501006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134771999040).

132501006752 is an abundant number, since it is smaller than the sum of its proper divisors (137042991328).

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

132501006752 is a wasteful number, since it uses less digits than its factorization.

132501006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 132501006752 in words is "one hundred thirty-two billion, five hundred one million, six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 164 179 328 358 433 656 716 866 1303 1312 1432 1732 2606 2864 3464 5212 5728 6928 7339 10424 13856 14678 17753 20848 29356 35506 41696 53423 58712 71012 77507 106846 117424 142024 155014 213692 233237 234848 284048 310028 427384 466474 564199 568096 620056 854768 932948 1128398 1240112 1709536 1865896 2256796 2480224 3177787 3731792 4513592 6355574 7463584 9027184 9562717 12711148 18054368 19125434 23132159 25422296 38250868 46264318 50844592 76501736 92528636 100991621 101689184 153003472 185057272 201983242 306006944 370114544 403966484 740229088 807932968 1615865936 3231731872 4140656461 8281312922 16562625844 33125251688 66250503376 132501006752