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13884270720 = 273537195443
BaseRepresentation
bin11001110111001000…
…10010100010000000
31022211121201000211220
430323210102202000
5211413333130340
610213420035040
71001031232245
oct147344224200
938747630756
1013884270720
115985344101
122835992a80
13140364bb08
14959d8d5cc
15563dc2ed0
hex33b912880

13884270720 has 128 divisors (see below), whose sum is σ = 45452456640. Its totient is φ = 3602386944.

The previous prime is 13884270679. The next prime is 13884270773. The reversal of 13884270720 is 2707248831.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26682 + ... + 168761.

Almost surely, 213884270720 is an apocalyptic number.

13884270720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13884270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726228320).

13884270720 is an abundant number, since it is smaller than the sum of its proper divisors (31568185920).

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

13884270720 is a wasteful number, since it uses less digits than its factorization.

13884270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195502 (or 195490 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 13884270720 in words is "thirteen billion, eight hundred eighty-four million, two hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 5920 7104 8880 11840 14208 17760 23680 35520 71040 195443 390886 586329 781772 977215 1172658 1563544 1954430 2345316 2931645 3127088 3908860 4690632 5863290 6254176 7231391 7817720 9381264 11726580 12508352 14462782 15635440 18762528 21694173 23453160 25016704 28925564 31270880 36156955 37525056 43388346 46906320 57851128 62541760 72313910 75050112 86776692 93812640 108470865 115702256 125083520 144627820 173553384 187625280 216941730 231404512 289255640 347106768 375250560 433883460 462809024 578511280 694213536 867766920 925618048 1157022560 1388427072 1735533840 2314045120 2776854144 3471067680 4628090240 6942135360 13884270720