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20167005112224 = 2531961181253641
BaseRepresentation
bin1001001010111011111110…
…01011010000011110100000
32122101221120021001020002120
410211131333023100132200
510120404011302042344
6110520332205144240
74151006121035535
oct445357713203640
978357507036076
1020167005112224
1164758626a6743
12231860125b080
13b33981926479
144da13425cd8c
1524e8cb7ec219
hex12577f2d07a0

20167005112224 has 96 divisors (see below), whose sum is σ = 56638138052160. Its totient is φ = 6264125798400.

The previous prime is 20167005112213. The next prime is 20167005112237. The reversal of 20167005112224 is 42221150076102.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90515557 + ... + 90738084.

It is an arithmetic number, because the mean of its divisors is an integer number (589980604710).

Almost surely, 220167005112224 is an apocalyptic number.

20167005112224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20167005112224 is an abundant number, since it is smaller than the sum of its proper divisors (36471132939936).

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

20167005112224 is a wasteful number, since it uses less digits than its factorization.

20167005112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181253734 (or 181253726 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 20167005112224 its reverse (42221150076102), we get a palindrome (62388155188326).

The spelling of 20167005112224 in words is "twenty trillion, one hundred sixty-seven billion, five million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 76 96 114 122 152 183 228 244 304 366 456 488 608 732 912 976 1159 1464 1824 1952 2318 2928 3477 4636 5856 6954 9272 13908 18544 27816 37088 55632 111264 181253641 362507282 543760923 725014564 1087521846 1450029128 2175043692 2900058256 3443819179 4350087384 5800116512 6887638358 8700174768 10331457537 11056472101 13775276716 17400349536 20662915074 22112944202 27550553432 33169416303 41325830148 44225888404 55101106864 66338832606 82651660296 88451776808 110202213728 132677665212 165303320592 176903553616 210072969919 265355330424 330606641184 353807107232 420145939838 530710660848 630218909757 840291879676 1061421321696 1260437819514 1680583759352 2520875639028 3361167518704 5041751278056 6722335037408 10083502556112 20167005112224