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22776340513452 = 22329419541288731
BaseRepresentation
bin1010010110111000001111…
…01011111000001010101100
32222122101201022221122112220
411023130013223320022230
510441131421132412302
6120235150102355340
74540351644015051
oct513340753701254
988571638848486
1022776340513452
117291434495149
12267a25a42bb50
13c92a51c0c696
1458a548b55028
152976e8ec74bc
hex14b707af82ac

22776340513452 has 96 divisors (see below), whose sum is σ = 55210640083200. Its totient is φ = 7299279187200.

The previous prime is 22776340513447. The next prime is 22776340513463. The reversal of 22776340513452 is 25431504367722.

It is a junction number, because it is equal to n+sod(n) for n = 22776340513395 and 22776340513404.

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 31 ways as a sum of consecutive naturals, for example, 78739927 + ... + 79028657.

It is an arithmetic number, because the mean of its divisors is an integer number (575110834200).

Almost surely, 222776340513452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22776340513452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27605320041600).

22776340513452 is an abundant number, since it is smaller than the sum of its proper divisors (32434299569748).

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

22776340513452 is a wasteful number, since it uses less digits than its factorization.

22776340513452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289727 (or 289725 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 22776340513452 in words is "twenty-two trillion, seven hundred seventy-six billion, three hundred forty million, five hundred thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 419 541 838 1082 1257 1623 1676 2164 2514 3246 5028 6492 12151 15689 24302 31378 36453 47067 48604 62756 72906 94134 145812 188268 226679 288731 453358 577462 680037 866193 906716 1154924 1360074 1732386 2720148 3464772 6573691 8373199 13147382 16746398 19721073 25119597 26294764 33492796 39442146 50239194 78884292 100478388 120978289 156203471 241956578 312406942 362934867 468610413 483913156 624813884 725869734 937220826 1451739468 1874441652 3508370381 4529900659 7016740762 9059801318 10525111143 13589701977 14033481524 18119602636 21050222286 27179403954 42100444572 54358807908 65449254349 130898508698 196347763047 261797017396 392695526094 785391052188 1898028376121 3796056752242 5694085128363 7592113504484 11388170256726 22776340513452