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1051163320832 = 29431011573011
BaseRepresentation
bin11110100101111100011…
…01110110001000000000
310201111020101020102021122
433102332031312020000
5114210240302231312
62122521530011412
7135641543542502
oct17227615661000
93644211212248
101051163320832
11375883322119
1214b880576b68
1378180059891
1438c3b479d72
151c5232edb72
hexf4be376200

1051163320832 has 160 divisors (see below), whose sum is σ = 2184945136704. Its totient is φ = 504870912000.

The previous prime is 1051163320829. The next prime is 1051163320843. The reversal of 1051163320832 is 2380233611501.

It is a super-2 number, since 2×10511633208322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051163320792 and 1051163320801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349106207 + ... + 349109217.

Almost surely, 21051163320832 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 1051163320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092472568352).

1051163320832 is an abundant number, since it is smaller than the sum of its proper divisors (1133781815872).

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

1051163320832 is a wasteful number, since it uses less digits than its factorization.

1051163320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1051163320832 in words is "one trillion, fifty-one billion, one hundred sixty-three million, three hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 101 128 157 172 202 256 314 344 404 512 628 688 808 1256 1376 1616 2512 2752 3011 3232 4343 5024 5504 6022 6464 6751 8686 10048 11008 12044 12928 13502 15857 17372 20096 22016 24088 25856 27004 31714 34744 40192 48176 51712 54008 63428 69488 80384 96352 108016 126856 129473 138976 192704 216032 253712 258946 277952 304111 385408 432064 472727 507424 517892 555904 608222 681851 770816 864128 945454 1014848 1035784 1111808 1216444 1363702 1541632 1728256 1890908 2029696 2071568 2223616 2432888 2727404 3456512 3781816 4059392 4143136 4865776 5454808 7563632 8118784 8286272 9731552 10909616 13076773 15127264 16572544 19463104 20327261 21819232 26153546 30254528 33145088 38926208 40654522 43638464 47745427 52307092 60509056 66290176 77852416 81309044 87276928 95490854 104614184 121018112 155704832 162618088 174553856 190981708 209228368 242036224 325236176 349107712 381963416 418456736 650472352 763926832 836913472 1300944704 1527853664 1673826944 2053053361 2601889408 3055707328 3347653888 4106106722 5203778816 6111414656 6695307776 8212213444 10407557632 12222829312 16424426888 24445658624 32848853776 65697707552 131395415104 262790830208 525581660416 1051163320832