Search a number
-
+
1050780762668 = 22713231033112149
BaseRepresentation
bin11110100101001110110…
…10100000001000101100
310201110020201101110010202
433102213122200020230
5114203444333401133
62122415542253032
7135626220053540
oct17224732401054
93643221343122
101050780762668
113756a738a54a
1214b794427178
137811ba141c0
1438c02735a20
151c4ee9332e8
hexf4a76a022c

1050780762668 has 96 divisors (see below), whose sum is σ = 2362043980800. Its totient is φ = 397548645120.

The previous prime is 1050780762667. The next prime is 1050780762797. The reversal of 1050780762668 is 8662670870501.

It is a super-2 number, since 2×10507807626682 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1050780762667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86485058 + ... + 86497206.

It is an arithmetic number, because the mean of its divisors is an integer number (24604624800).

Almost surely, 21050780762668 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 1050780762668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181021990400).

1050780762668 is an abundant number, since it is smaller than the sum of its proper divisors (1311263218132).

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

1050780762668 is a wasteful number, since it uses less digits than its factorization.

1050780762668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22527 (or 22525 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 1050780762668 in words is "one trillion, fifty billion, seven hundred eighty million, seven hundred sixty-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 10331 12149 20662 24298 41324 48596 72317 85043 134303 144634 157937 170086 237613 268606 279427 289268 315874 340172 475226 537212 558854 631748 940121 950452 1105559 1117708 1663291 1880242 1955989 2211118 3088969 3326582 3632551 3760484 3911978 4422236 6177938 6653164 7265102 7823956 12355876 14530204 21622783 25427857 43245566 50855714 86491132 101711428 125511319 251022638 502045276 878579233 1631647147 1757158466 2886760337 3263294294 3514316932 5773520674 6526588588 11421530029 11547041348 20207322359 22843060058 37527884381 40414644718 45686120116 75055768762 80829289436 150111537524 262695190667 525390381334 1050780762668