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1600428133608 = 2332319161324763
BaseRepresentation
bin10111010010100000111…
…100110100110011101000
312122222222120212220212120
4113102200330310303220
5202210134100233413
63223120533111240
7223425046452003
oct27224074646350
95588876786776
101600428133608
11567812a5a617
1221a210188520
13b7bc5837c35
14576654d653a
152b96dea3723
hex174a0f34ce8

1600428133608 has 128 divisors (see below), whose sum is σ = 4203904942080. Its totient is φ = 506761263360.

The previous prime is 1600428133589. The next prime is 1600428133643. The reversal of 1600428133608 is 8063318240061.

It is a super-2 number, since 2×16004281336082 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1600428133608.

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, 64617435 + ... + 64642197.

It is an arithmetic number, because the mean of its divisors is an integer number (32843007360).

Almost surely, 21600428133608 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 1600428133608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101952471040).

1600428133608 is an abundant number, since it is smaller than the sum of its proper divisors (2603476808472).

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

1600428133608 is a wasteful number, since it uses less digits than its factorization.

1600428133608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25599 (or 25595 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1600428133608 in words is "one trillion, six hundred billion, four hundred twenty-eight million, one hundred thirty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 552 573 613 764 1146 1226 1528 1839 2292 2452 3678 4393 4584 4904 7356 8786 13179 14099 14712 17572 24763 26358 28198 35144 42297 49526 52716 56396 74289 84594 99052 105432 112792 117083 148578 169188 198104 234166 297156 338376 351249 468332 569549 594312 702498 936664 1139098 1404996 1708647 2278196 2692909 2809992 3417294 4556392 4729733 5385818 6834588 8078727 9459466 10771636 13669176 14189199 15179719 16157454 18918932 21543272 28378398 30359438 32314908 37837864 45539157 56756796 60718876 64629816 91078314 108783859 113513592 121437752 182156628 217567718 326351577 349133537 364313256 435135436 652703154 698267074 870270872 1047400611 1305406308 1396534148 2094801222 2610812616 2793068296 2899326329 4189602444 5798652658 8379204888 8697978987 11597305316 17395957974 23194610632 34791915948 66684505567 69583831896 133369011134 200053516701 266738022268 400107033402 533476044536 800214066804 1600428133608