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132074031656 = 237191032275309
BaseRepresentation
bin111101100000000111…
…0011100101000101000
3110121220110120222012002
41323000032130220220
54130441423003111
6140401324510132
712353626513610
oct1730016345050
9417813528162
10132074031656
1151015390886
122171b3ab348
13c5ba79c7b8
14656cb15a40
15367ee9b63b
hex1ec039ca28

132074031656 has 128 divisors (see below), whose sum is σ = 302185728000. Its totient is φ = 52859526912.

The previous prime is 132074031647. The next prime is 132074031667. The reversal of 132074031656 is 656130470231.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24874730 + ... + 24880038.

It is an arithmetic number, because the mean of its divisors is an integer number (2360826000).

Almost surely, 2132074031656 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 132074031656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092864000).

132074031656 is an abundant number, since it is smaller than the sum of its proper divisors (170111696344).

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

132074031656 is a wasteful number, since it uses less digits than its factorization.

132074031656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 132074031656 in words is "one hundred thirty-two billion, seventy-four million, thirty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 103 133 152 206 227 266 412 454 532 721 824 908 1064 1442 1589 1816 1957 2884 3178 3914 4313 5309 5768 6356 7828 8626 10618 12712 13699 15656 17252 21236 23381 27398 30191 34504 37163 42472 46762 54796 60382 74326 93524 100871 109592 120764 148652 163667 187048 201742 241528 297304 327334 403484 444239 546827 654668 706097 806968 888478 1093654 1205143 1309336 1412194 1776956 2187308 2410286 2824388 3109673 3553912 3827789 4374616 4820572 5648776 6219346 7655578 8436001 9641144 10389713 12438692 15311156 16872002 20779426 22897717 24877384 30622312 33744004 41558852 45795434 67488008 72727991 83117704 91590868 124129729 145455982 160284019 183181736 248259458 290911964 320568038 496518916 581823928 641136076 868908103 993037832 1282272152 1737816206 2358464851 3475632412 4716929702 6951264824 9433859404 16509253957 18867718808 33018507914 66037015828 132074031656