Search a number
-
+
29080624778880 = 2735113134036803
BaseRepresentation
bin1101001110010110111000…
…10011110100111010000000
310210222002011202000110111120
412213023130103310322000
512302424104420411010
6141503242105312240
76061001664062433
oct647133423647200
9123862152013446
1029080624778880
1192a2029614924
12331802a495680
13132c3a286b77c
1472771ca7581a
153566c17e5e70
hex1a72dc4f4e80

29080624778880 has 128 divisors (see below), whose sum is σ = 93514797414720. Its totient is φ = 7686206373888.

The previous prime is 29080624778879. The next prime is 29080624778917. The reversal of 29080624778880 is 8887742608092.

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

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, 66801442 + ... + 67235361.

Almost surely, 229080624778880 is an apocalyptic number.

29080624778880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29080624778880 is an abundant number, since it is smaller than the sum of its proper divisors (64434172635840).

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

29080624778880 is a wasteful number, since it uses less digits than its factorization.

29080624778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134036938 (or 134036926 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 69.

The spelling of 29080624778880 in words is "twenty-nine trillion, eighty billion, six hundred twenty-four million, seven hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 565 640 678 904 960 1130 1356 1695 1808 1920 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 14464 18080 21696 27120 36160 43392 54240 72320 108480 216960 134036803 268073606 402110409 536147212 670184015 804220818 1072294424 1340368030 1608441636 2010552045 2144588848 2680736060 3216883272 4021104090 4289177696 5361472120 6433766544 8042208180 8578355392 10722944240 12867533088 15146158739 16084416360 17156710784 21445888480 25735066176 30292317478 32168832720 42891776960 45438476217 51470132352 60584634956 64337665440 75730793695 85783553920 90876952434 121169269912 128675330880 151461587390 181753904868 227192381085 242338539824 257350661760 302923174780 363507809736 454384762170 484677079648 605846349560 727015619472 908769524340 969354159296 1211692699120 1454031238944 1817539048680 1938708318592 2423385398240 2908062477888 3635078097360 4846770796480 5816124955776 7270156194720 9693541592960 14540312389440 29080624778880