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22412889642 = 231113711272897
BaseRepresentation
bin10100110111111010…
…011000111000101010
32010211222210202120210
4110313322120320222
5331400144432032
614144002001550
71422261263403
oct246772307052
963758722523
1022412889642
1195615457a0
1244160462b6
1321625574a0
14112893c9aa
158b29db2cc
hex537e98e2a

22412889642 has 128 divisors (see below), whose sum is σ = 53843263488. Its totient is φ = 6130252800.

The previous prime is 22412889637. The next prime is 22412889689. The reversal of 22412889642 is 24698821422.

It is a junction number, because it is equal to n+sod(n) for n = 22412889591 and 22412889600.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7735138 + ... + 7738034.

It is an arithmetic number, because the mean of its divisors is an integer number (420650496).

Almost surely, 222412889642 is an apocalyptic number.

22412889642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22412889642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26921631744).

22412889642 is an abundant number, since it is smaller than the sum of its proper divisors (31430373846).

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

22412889642 is a wasteful number, since it uses less digits than its factorization.

22412889642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124.

The product of its digits is 884736, while the sum is 48.

The spelling of 22412889642 in words is "twenty-two billion, four hundred twelve million, eight hundred eighty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 127 142 143 213 254 286 381 426 429 762 781 858 923 1397 1562 1651 1846 2343 2769 2794 2897 3302 4191 4686 4953 5538 5794 8382 8691 9017 9906 10153 17382 18034 18161 20306 27051 30459 31867 36322 37661 54102 54483 60918 63734 75322 95601 99187 108966 112983 117221 191202 198374 205687 225966 234442 297561 351663 367919 411374 414271 595122 617061 703326 735838 828542 1103757 1234122 1242813 1289431 2207514 2262557 2485626 2578862 2673931 3868293 4047109 4525114 4782947 5347862 6787671 7736586 8021793 8094218 9565894 12141327 13575342 14348841 16043586 24282654 26122249 28697682 29413241 52244498 52612417 58826482 78366747 88239723 105224834 156733494 157837251 176479446 287344739 315674502 339589237 574689478 679178474 862034217 1018767711 1724068434 2037535422 3735481607 7470963214 11206444821 22412889642