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678401122344 = 233113178106313
BaseRepresentation
bin10011101111100111101…
…10111010000000101000
32101212001221101201200020
421313303312322000220
542103331141403334
61235353030240440
7100004261252511
oct11676366720050
92355057351606
10678401122344
11241787825190
12ab58b1b6120
134bc8576036a
1424b9893ba08
15129a7caee49
hex9df3dba028

678401122344 has 64 divisors (see below), whose sum is σ = 1856021653440. Its totient is φ = 204927567360.

The previous prime is 678401122339. The next prime is 678401122411. The reversal of 678401122344 is 443221104876.

It is a junction number, because it is equal to n+sod(n) for n = 678401122296 and 678401122305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3969469 + ... + 4136844.

It is an arithmetic number, because the mean of its divisors is an integer number (29000338335).

Almost surely, 2678401122344 is an apocalyptic number.

It is an amenable number.

678401122344 is an abundant number, since it is smaller than the sum of its proper divisors (1177620531096).

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

678401122344 is a wasteful number, since it uses less digits than its factorization.

678401122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106650 (or 8106646 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

It can be divided in two parts, 678401 and 122344, that added together give a triangular number (800745 = T1265).

The spelling of 678401122344 in words is "six hundred seventy-eight billion, four hundred one million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 317 634 951 1268 1902 2536 3487 3804 6974 7608 10461 13948 20922 27896 41844 83688 8106313 16212626 24318939 32425252 48637878 64850504 89169443 97275756 178338886 194551512 267508329 356677772 535016658 713355544 1070033316 2140066632 2569701221 5139402442 7709103663 10278804884 15418207326 20557609768 28266713431 30836414652 56533426862 61672829304 84800140293 113066853724 169600280586 226133707448 339200561172 678401122344