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13807608142350 = 23521159141834701
BaseRepresentation
bin1100100011101101010110…
…0101000001101000001110
31210212222211221200221112010
43020323111211001220032
53302210440141023400
645211043321522050
72623365254503431
oct310732545015016
953788757627463
1013807608142350
114443856918440
121670010043326
13792089c27769
1435a4129ad818
1518e27a86d450
hexc8ed5941a0e

13807608142350 has 96 divisors (see below), whose sum is σ = 37989006583680. Its totient is φ = 3290565040000.

The previous prime is 13807608142327. The next prime is 13807608142351. The reversal of 13807608142350 is 5324180670831.

It is a super-2 number, since 2×138076081423502 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13807608142350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807608142351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70820001 + ... + 71014700.

It is an arithmetic number, because the mean of its divisors is an integer number (395718818580).

Almost surely, 213807608142350 is an apocalyptic number.

13807608142350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13807608142350 is an abundant number, since it is smaller than the sum of its proper divisors (24181398441330).

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

13807608142350 is a wasteful number, since it uses less digits than its factorization.

13807608142350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141834786 (or 141834781 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 13807608142350 in words is "thirteen trillion, eight hundred seven billion, six hundred eight million, one hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 59 66 75 110 118 150 165 177 275 295 330 354 550 590 649 825 885 1298 1475 1650 1770 1947 2950 3245 3894 4425 6490 8850 9735 16225 19470 32450 48675 97350 141834701 283669402 425504103 709173505 851008206 1418347010 1560181711 2127520515 3120363422 3545867525 4255041030 4680545133 7091735050 7800908555 8368247359 9361090266 10637602575 15601817110 16736494718 21275205150 23402725665 25104742077 39004542775 41841236795 46805451330 50209484154 78009085550 83682473590 92050720949 117013628325 125523710385 184101441898 209206183975 234027256650 251047420770 276152162847 418412367950 460253604745 552304325694 627618551925 920507209490 1255237103850 1380760814235 2301268023725 2761521628470 4602536047450 6903804071175 13807608142350