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26532144120 = 23351742130893
BaseRepresentation
bin11000101101011100…
…000110001111111000
32112111001220120102110
4120231130012033320
5413314212102440
620104431532320
71626330334566
oct305534061770
975431816373
1026532144120
1110285781639
12518568a0a0
13266aaa1681
1413d9a56a36
15a5446b080
hex62d7063f8

26532144120 has 128 divisors (see below), whose sum is σ = 84481496640. Its totient is φ = 6643015680.

The previous prime is 26532144113. The next prime is 26532144139. The reversal of 26532144120 is 2144123562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843394 + ... + 874286.

Almost surely, 226532144120 is an apocalyptic number.

26532144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26532144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42240748320).

26532144120 is an abundant number, since it is smaller than the sum of its proper divisors (57949352520).

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

26532144120 is a wasteful number, since it uses less digits than its factorization.

26532144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31345 (or 31341 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 26532144120 its reverse (2144123562), we get a palindrome (28676267682).

The spelling of 26532144120 in words is "twenty-six billion, five hundred thirty-two million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 421 510 680 842 1020 1263 1684 2040 2105 2526 3368 4210 5052 6315 7157 8420 10104 12630 14314 16840 21471 25260 28628 30893 35785 42942 50520 57256 61786 71570 85884 92679 107355 123572 143140 154465 171768 185358 214710 247144 286280 308930 370716 429420 463395 525181 617860 741432 858840 926790 1050362 1235720 1575543 1853580 2100724 2625905 3151086 3707160 4201448 5251810 6302172 7877715 10503620 12604344 13005953 15755430 21007240 26011906 31510860 39017859 52023812 63021720 65029765 78035718 104047624 130059530 156071436 195089295 221101201 260119060 312142872 390178590 442202402 520238120 663303603 780357180 884404804 1105506005 1326607206 1560714360 1768809608 2211012010 2653214412 3316518015 4422024020 5306428824 6633036030 8844048040 13266072060 26532144120