Search a number
-
+
80009878656 = 2735310936067
BaseRepresentation
bin100101010000011110…
…1011101110010000000
321122112000200221222010
41022200331131302000
52302330012104111
6100431145212520
75531501514231
oct1124075356200
9248460627863
1080009878656
1130a28544064
121360b191140
1377111b3386
143c301cb088
1521342c0aa6
hex12a0f5dc80

80009878656 has 128 divisors (see below), whose sum is σ = 218528798400. Its totient is φ = 25925971968.

The previous prime is 80009878643. The next prime is 80009878727. The reversal of 80009878656 is 65687890008.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80009878596 and 80009878605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200335 + ... + 2236401.

Almost surely, 280009878656 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 80009878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109264399200).

80009878656 is an abundant number, since it is smaller than the sum of its proper divisors (138518919744).

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

80009878656 is a wasteful number, since it uses less digits than its factorization.

80009878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36246 (or 36234 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 80009878656 in words is "eighty billion, nine million, eight hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 109 128 159 192 212 218 318 327 384 424 436 636 654 848 872 1272 1308 1696 1744 2544 2616 3392 3488 5088 5232 5777 6784 6976 10176 10464 11554 13952 17331 20352 20928 23108 34662 36067 41856 46216 69324 72134 92432 108201 138648 144268 184864 216402 277296 288536 369728 432804 554592 577072 739456 865608 1109184 1154144 1731216 1911551 2218368 2308288 3462432 3823102 3931303 4616576 5734653 6924864 7646204 7862606 11469306 11793909 13849728 15292408 15725212 22938612 23587818 30584816 31450424 45877224 47175636 61169632 62900848 91754448 94351272 122339264 125801696 183508896 188702544 208359059 244678528 251603392 367017792 377405088 416718118 503206784 625077177 734035584 754810176 833436236 1250154354 1509620352 1666872472 2500308708 3333744944 5000617416 6667489888 10001234832 13334979776 20002469664 26669959552 40004939328 80009878656