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12835117440 = 27345247591
BaseRepresentation
bin10111111010000100…
…00101100110000000
31020010111112112010000
423331002011212000
5202241242224230
65521341040000
7633031461315
oct137502054600
936114475100
1012835117440
1154970a8782
1225a2556000
131297191a62
1489a8c8d0c
15501c32b60
hex2fd085980

12835117440 has 160 divisors (see below), whose sum is σ = 45836706960. Its totient is φ = 3422684160.

The previous prime is 12835117433. The next prime is 12835117441. The reversal of 12835117440 is 4471153821.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12835117395 and 12835117404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12835117441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71956 + ... + 175635.

Almost surely, 212835117440 is an apocalyptic number.

12835117440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12835117440 is an abundant number, since it is smaller than the sum of its proper divisors (33001589520).

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

12835117440 is an equidigital number, since it uses as much as digits as its factorization.

12835117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247622 (or 247601 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12835117440 in words is "twelve billion, eight hundred thirty-five million, one hundred seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 247591 495182 742773 990364 1237955 1485546 1980728 2228319 2475910 2971092 3713865 3961456 4456638 4951820 5942184 6684957 7427730 7922912 8913276 9903640 11141595 11884368 13369914 14855460 15845824 17826552 19807280 20054871 22283190 23768736 26739828 29710920 31691648 33424785 35653104 39614560 40109742 44566380 47537472 53479656 59421840 66849570 71306208 79229120 80219484 89132760 95074944 100274355 106959312 118843680 133699140 142612416 158458240 160438968 178265520 200548710 213918624 237687360 267398280 285224832 320877936 356531040 401097420 427837248 475374720 534796560 641755872 713062080 802194840 855674496 1069593120 1283511744 1426124160 1604389680 2139186240 2567023488 3208779360 4278372480 6417558720 12835117440