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5166005026032 = 243253719941429
BaseRepresentation
bin100101100101100110111…
…1001001111110011110000
3200021212100202212012111200
41023023031321033303300
51134114434241313112
614553121400211200
71042142264125644
oct113131571176360
920255322765450
105166005026032
111711988183654
126b5258769b00
132b61c9469516
1413c070a16c24
158e5a648acdc
hex4b2cde4fcf0

5166005026032 has 120 divisors (see below), whose sum is σ = 14750927755200. Its totient is φ = 1687159478784.

The previous prime is 5166005026027. The next prime is 5166005026033. The reversal of 5166005026032 is 2306205006615.

It is a happy number.

5166005026032 is a `hidden beast` number, since 5 + 1 + 6 + 60 + 0 + 502 + 60 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166005026033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5016694 + ... + 5958122.

It is an arithmetic number, because the mean of its divisors is an integer number (122924397960).

Almost surely, 25166005026032 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 5166005026032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375463877600).

5166005026032 is an abundant number, since it is smaller than the sum of its proper divisors (9584922729168).

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

5166005026032 is a wasteful number, since it uses less digits than its factorization.

5166005026032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942215 (or 942206 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 5166005026032 in words is "five trillion, one hundred sixty-six billion, five million, twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 719 848 954 1272 1438 1908 2157 2544 2876 3816 4314 5752 6471 7632 8628 11504 12942 17256 25884 34512 38107 51768 76214 103536 114321 152428 228642 304856 342963 457284 609712 685926 914568 941429 1371852 1829136 1882858 2743704 2824287 3765716 5487408 5648574 7531432 8472861 11297148 15062864 16945722 22594296 33891444 45188592 49895737 67782888 99791474 135565776 149687211 199582948 299374422 399165896 449061633 598748844 676887451 798331792 898123266 1197497688 1353774902 1796246532 2030662353 2394995376 2707549804 3592493064 4061324706 5415099608 6091987059 7184986128 8122649412 10830199216 12183974118 16245298824 24367948236 32490597648 35875034903 48735896472 71750069806 97471792944 107625104709 143500139612 215250209418 287000279224 322875314127 430500418836 574000558448 645750628254 861000837672 1291501256508 1722001675344 2583002513016 5166005026032