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132074824488 = 23319896415077
BaseRepresentation
bin111101100000001000…
…1011110001100101000
3110121220112002020202020
41323000101132030220
54130442123340423
6140401353504440
712353636325225
oct1730021361450
9417815066666
10132074824488
1151015882512
122171b712120
13c5ba9b9629
14656cc8094c
1536800a64e3
hex1ec045e328

132074824488 has 128 divisors (see below), whose sum is σ = 352088208000. Its totient is φ = 41166766080.

The previous prime is 132074824481. The next prime is 132074824499. The reversal of 132074824488 is 884428470231.

It is a self number, because there is not a number n which added to its sum of digits gives 132074824488.

It is not an unprimeable number, because it can be changed into a prime (132074824481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26011806 + ... + 26016882.

It is an arithmetic number, because the mean of its divisors is an integer number (2750689125).

Almost surely, 2132074824488 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 132074824488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176044104000).

132074824488 is an abundant number, since it is smaller than the sum of its proper divisors (220013383512).

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

132074824488 is a wasteful number, since it uses less digits than its factorization.

132074824488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 132074824488 in words is "one hundred thirty-two billion, seventy-four million, eight hundred twenty-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 178 228 267 356 456 534 641 712 1068 1282 1691 1923 2136 2564 3382 3846 5073 5077 5128 6764 7692 10146 10154 12179 13528 15231 15384 20292 20308 24358 30462 36537 40584 40616 48716 57049 60924 73074 96463 97432 114098 121848 146148 171147 192926 228196 289389 292296 342294 385852 451853 456392 578778 684588 771704 903706 1083931 1157556 1355559 1369176 1807412 2167862 2315112 2711118 3251793 3254357 3614824 4335724 5422236 6503586 6508714 8585207 8671448 9763071 10844472 13007172 13017428 17170414 19526142 25755621 26014344 26034856 34340828 39052284 51511242 61832783 68681656 78104568 103022484 123665566 185498349 206044968 247331132 289637773 370996698 494662264 579275546 741993396 868913319 1158551092 1483986792 1737826638 2317102184 3475653276 5503117687 6951306552 11006235374 16509353061 22012470748 33018706122 44024941496 66037412244 132074824488