Search a number
-
+
2770105133070 = 233511932695331
BaseRepresentation
bin101000010011110111001…
…000011110100000001110
3100210211010101112000001000
4220103313020132200032
5330341133403224240
65520322502401130
7404063534062452
oct50236710364016
910724111460030
102770105133070
11978882149590
12388a467301a6
131712b1b68972
1498106736662
154c0cba11430
hex284f721e80e

2770105133070 has 64 divisors (see below), whose sum is σ = 8058487668480. Its totient is φ = 671540637600.

The previous prime is 2770105133011. The next prime is 2770105133077. The reversal of 2770105133070 is 703315010772.

2770105133070 is a `hidden beast` number, since 2 + 7 + 70 + 1 + 0 + 513 + 3 + 0 + 70 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770105133077) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 466344696 + ... + 466350635.

It is an arithmetic number, because the mean of its divisors is an integer number (125913869820).

Almost surely, 22770105133070 is an apocalyptic number.

2770105133070 is an abundant number, since it is smaller than the sum of its proper divisors (5288382535410).

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

2770105133070 is a wasteful number, since it uses less digits than its factorization.

2770105133070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932695358 (or 932695352 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 2770105133070 in words is "two trillion, seven hundred seventy billion, one hundred five million, one hundred thirty-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 932695331 1865390662 2798085993 4663476655 5596171986 8394257979 9326953310 10259648641 13990429965 16788515958 20519297282 25182773937 27980859930 30778945923 41971289895 50365547874 51298243205 61557891846 83942579790 92336837769 102596486410 125913869685 153894729615 184673675538 251827739370 277010513307 307789459230 461684188845 554021026614 923368377690 1385052566535 2770105133070