Search a number
-
+
793145450070 = 233517891941557
BaseRepresentation
bin10111000101010110010…
…01110001111001010110
32210211020200002112012000
423202223021301321112
5100443330213400240
61404211015340130
7111205612042311
oct13425311617126
92724220075160
10793145450070
11286409a249a6
12109872981646
1359a40b3b67c
142a561c6b978
1515971659430
hexb8ab271e56

793145450070 has 128 divisors (see below), whose sum is σ = 2264633251200. Its totient is φ = 196827181056.

The previous prime is 793145450063. The next prime is 793145450099. The reversal of 793145450070 is 70054541397.

793145450070 is a `hidden beast` number, since 7 + 9 + 31 + 4 + 545 + 0 + 0 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 793145449998 and 793145450025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562269 + ... + 1379288.

It is an arithmetic number, because the mean of its divisors is an integer number (17692447275).

Almost surely, 2793145450070 is an apocalyptic number.

793145450070 is an abundant number, since it is smaller than the sum of its proper divisors (1471487801130).

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

793145450070 is a wasteful number, since it uses less digits than its factorization.

793145450070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941679 (or 1941673 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 793145450070 in words is "seven hundred ninety-three billion, one hundred forty-five million, four hundred fifty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 89 90 102 135 153 170 178 255 267 270 306 445 459 510 534 765 801 890 918 1335 1513 1530 1602 2295 2403 2670 3026 4005 4539 4590 4806 7565 8010 9078 12015 13617 15130 22695 24030 27234 40851 45390 68085 81702 136170 204255 408510 1941557 3883114 5824671 9707785 11649342 17474013 19415570 29123355 33006469 34948026 52422039 58246710 66012938 87370065 99019407 104844078 165032345 172798573 174740130 198038814 262110195 297058221 330064690 345597146 495097035 518395719 524220390 594116442 863992865 891174663 990194070 1036791438 1485291105 1555187157 1727985730 1782349326 2591978595 2937575741 2970582210 3110374314 4455873315 4665561471 5183957190 5875151482 7775935785 8812727223 8911746630 9331122942 14687878705 15551871570 17625454446 23327807355 26438181669 29375757410 44063636115 46655614710 52876363338 79314545007 88127272230 132190908345 158629090014 264381816690 396572725035 793145450070