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22061632132544 = 264753167828643
BaseRepresentation
bin1010000010000100111111…
…01111110001010111000000
32220010001221002001002022112
411001002133233301113000
510342424210311220134
6114530550205354452
74434620545014404
oct501023757612700
986101832032275
1022061632132544
117036316214254
122583837b68a28
13c4053147b894
14563b0825b104
15283d18a111ce
hex14109fbf15c0

22061632132544 has 112 divisors (see below), whose sum is σ = 45826426211328. Its totient is φ = 10528977159168.

The previous prime is 22061632132531. The next prime is 22061632132601. The reversal of 22061632132544 is 44523123616022.

It is a super-2 number, since 2×220616321325442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 26209487 + ... + 27038129.

It is an arithmetic number, because the mean of its divisors is an integer number (409164519744).

Almost surely, 222061632132544 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 22061632132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913213105664).

22061632132544 is an abundant number, since it is smaller than the sum of its proper divisors (23764794078784).

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

22061632132544 is a wasteful number, since it uses less digits than its factorization.

22061632132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828922 (or 828912 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 22061632132544 its reverse (44523123616022), we get a palindrome (66584755748566).

The spelling of 22061632132544 in words is "twenty-two trillion, sixty-one billion, six hundred thirty-two million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 167 188 212 334 376 424 668 752 848 1336 1504 1696 2491 2672 3008 3392 4982 5344 7849 8851 9964 10688 15698 17702 19928 31396 35404 39856 62792 70808 79712 125584 141616 159424 251168 283232 415997 502336 566464 828643 831994 1657286 1663988 3314572 3327976 6629144 6655952 13258288 13311904 26516576 26623808 38946221 43918079 53033152 77892442 87836158 138383381 155784884 175672316 276766762 311569768 351344632 553533524 623139536 702689264 1107067048 1246279072 1405378528 2064149713 2214134096 2492558144 2810757056 4128299426 4428268192 6504018907 7334319193 8256598852 8856536384 13008037814 14668638386 16513197704 26016075628 29337276772 33026395408 52032151256 58674553544 66052790816 104064302512 117349107088 132105581632 208128605024 234698214176 344713002071 416257210048 469396428352 689426004142 1378852008284 2757704016568 5515408033136 11030816066272 22061632132544