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13822872700 = 22527131639319
BaseRepresentation
bin11001101111110100…
…00100110001111100
31022200100011200121011
430313322010301330
5211302123411300
610203344045004
7666354323260
oct146772046174
938610150534
1013822872700
11595371893a
122819303764
1313c3a02720
14951b6a0a0
1555d7e5eba
hex337e84c7c

13822872700 has 144 divisors (see below), whose sum is σ = 37148177920. Its totient is φ = 4347406080.

The previous prime is 13822872683. The next prime is 13822872757. The reversal of 13822872700 is 727822831.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1478641 + ... + 1487959.

Almost surely, 213822872700 is an apocalyptic number.

13822872700 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 13822872700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574088960).

13822872700 is an abundant number, since it is smaller than the sum of its proper divisors (23325305220).

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

13822872700 is a wasteful number, since it uses less digits than its factorization.

13822872700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 13822872700 in words is "thirteen billion, eight hundred twenty-two million, eight hundred seventy-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 163 175 182 260 325 326 350 364 455 650 652 700 815 910 1141 1300 1630 1820 2119 2275 2282 3260 4075 4238 4550 4564 5705 8150 8476 9100 9319 10595 11410 14833 16300 18638 21190 22820 28525 29666 37276 42380 46595 52975 57050 59332 65233 74165 93190 105950 114100 121147 130466 148330 186380 211900 232975 242294 260932 296660 326165 370825 465950 484588 605735 652330 741650 848029 931900 1211470 1304660 1483300 1518997 1630825 1696058 2422940 3028675 3037994 3261650 3392116 4240145 6057350 6075988 6523300 7594985 8480290 10632979 12114700 15189970 16960580 19746961 21200725 21265958 30379940 37974925 39493922 42401450 42531916 53164895 75949850 78987844 84802900 98734805 106329790 138228727 151899700 197469610 212659580 265824475 276457454 394939220 493674025 531648950 552914908 691143635 987348050 1063297900 1382287270 1974696100 2764574540 3455718175 6911436350 13822872700