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26142278040 = 2333576931477
BaseRepresentation
bin11000010110001100…
…111000000110011000
32111110220022022201000
4120112030320012120
5412014410344130
620002023425000
71613554461024
oct302614700630
974426268630
1026142278040
11100a56a846a
125096bb5160
13260809a898
14139dd6d384
15a3010a260
hex616338198

26142278040 has 128 divisors (see below), whose sum is σ = 87257016000. Its totient is φ = 6961987584.

The previous prime is 26142277991. The next prime is 26142278089. The reversal of 26142278040 is 4087224162.

It is an interprime number because it is at equal distance from previous prime (26142277991) and next prime (26142278089).

It is a super-2 number, since 2×261422780402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26142277986 and 26142278004.

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, 814782 + ... + 846258.

Almost surely, 226142278040 is an apocalyptic number.

26142278040 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 26142278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43628508000).

26142278040 is an abundant number, since it is smaller than the sum of its proper divisors (61114737960).

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

26142278040 is a wasteful number, since it uses less digits than its factorization.

26142278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32266 (or 32256 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 26142278040 in words is "twenty-six billion, one hundred forty-two million, two hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 769 1080 1538 2307 3076 3845 4614 6152 6921 7690 9228 11535 13842 15380 18456 20763 23070 27684 30760 31477 34605 41526 46140 55368 62954 69210 83052 92280 94431 103815 125908 138420 157385 166104 188862 207630 251816 276840 283293 314770 377724 415260 472155 566586 629540 755448 830520 849879 944310 1133172 1259080 1416465 1699758 1888620 2266344 2832930 3399516 3777240 4249395 5665860 6799032 8498790 11331720 16997580 24205813 33995160 48411626 72617439 96823252 121029065 145234878 193646504 217852317 242058130 290469756 363087195 435704634 484116260 580939512 653556951 726174390 871409268 968232520 1089261585 1307113902 1452348780 1742818536 2178523170 2614227804 2904697560 3267784755 4357046340 5228455608 6535569510 8714092680 13071139020 26142278040