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22868403896464 = 247223327332
BaseRepresentation
bin1010011001100011101110…
…00101110100000010010000
32222222012100101110002001021
411030301313011310002100
510444133442344141324
6120345333312245224
74550121236610400
oct514616705640220
988865311402037
1022868403896464
117317487904455
122694072240814
13c9b63436ba49
14590b9daca800
15299cd6586ae4
hex14cc77174090

22868403896464 has 135 divisors (see below), whose sum is σ = 51834287727243. Its totient is φ = 9745367901696.

The previous prime is 22868403896449. The next prime is 22868403896467. The reversal of 22868403896464 is 46469830486822.

It is a happy number.

The square root of 22868403896464 is 4782092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2257530290064 + 20610873606400 = 1502508^2 + 4539920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22868403896393 and 22868403896402.

It is not an unprimeable number, because it can be changed into a prime (22868403896467) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 31198367842 + ... + 31198368574.

Almost surely, 222868403896464 is an apocalyptic number.

22868403896464 is the 4782092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22868403896464

22868403896464 is an abundant number, since it is smaller than the sum of its proper divisors (28965883830779).

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

22868403896464 is an frugal number, since it uses more digits than its factorization.

22868403896464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 70.

The spelling of 22868403896464 in words is "twenty-two trillion, eight hundred sixty-eight billion, four hundred three million, eight hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 233 392 466 733 784 932 1466 1631 1864 2932 3262 3728 5131 5864 6524 10262 11417 11728 13048 20524 22834 26096 35917 41048 45668 54289 71834 82096 91336 108578 143668 170789 182672 217156 287336 341578 380023 434312 537289 574672 683156 760046 868624 1074578 1195523 1366312 1520092 2149156 2391046 2660161 2732624 3040184 3761023 4298312 4782092 5320322 6080368 7522046 8368661 8596624 9564184 10640644 15044092 16737322 19128368 21281288 26327161 30088184 33474644 39793837 42562576 52654322 60176368 66949288 79587674 105308644 125188337 133898576 159175348 210617288 250376674 278556859 318350696 421234576 500753348 557113718 636701392 876318359 1001506696 1114227436 1752636718 1949898013 2003013392 2228454872 3505273436 3899796026 4456909744 6134228513 7010546872 7799592052 12268457026 14021093744 15599184104 24536914052 29168882521 31198368208 49073828104 58337765042 98147656208 116675530084 204182177647 233351060168 408364355294 466702120336 816728710588 1429275243529 1633457421176 2858550487058 3266914842352 5717100974116 11434201948232 22868403896464