Search a number
-
+
20321895905376 = 2531319857030023
BaseRepresentation
bin1001001111011100011110…
…11000101111100001100000
32122221202100212101202220020
410213232033120233201200
510130423220322433001
6111115430004313440
74165131345045132
oct447561730574140
978852325352806
1020321895905376
1165255164a20aa
1223426299a2880
13b45467519170
145038293a5052
15253944960736
hex127b8f62f860

20321895905376 has 96 divisors (see below), whose sum is σ = 60472038493440. Its totient is φ = 5923791512064.

The previous prime is 20321895905371. The next prime is 20321895905407. The reversal of 20321895905376 is 67350959812302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321895905371) by changing a digit.

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, 428491300 + ... + 428538723.

It is an arithmetic number, because the mean of its divisors is an integer number (629917067640).

Almost surely, 220321895905376 is an apocalyptic number.

20321895905376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20321895905376 is an abundant number, since it is smaller than the sum of its proper divisors (40150142588064).

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

20321895905376 is a wasteful number, since it uses less digits than its factorization.

20321895905376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857030068 (or 857030060 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 20321895905376 in words is "twenty trillion, three hundred twenty-one billion, eight hundred ninety-five million, nine hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 857030023 1714060046 2571090069 3428120092 5142180138 6856240184 10284360276 11141390299 13712480368 16283570437 20568720552 22282780598 27424960736 32567140874 33424170897 41137441104 44565561196 48850711311 65134281748 66848341794 82274882208 89131122392 97701422622 130268563496 133696683588 178262244784 195402845244 211686415681 260537126992 267393367176 356524489568 390805690488 423372831362 521074253984 534786734352 635059247043 781611380976 846745662724 1069573468704 1270118494086 1563222761952 1693491325448 2540236988172 3386982650896 5080473976344 6773965301792 10160947952688 20321895905376