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26090645952 = 2637132714629
BaseRepresentation
bin11000010011000111…
…111010100111000000
32111100022011010210110
4120103013322213000
5411413201132302
615552541031320
71612356555120
oct302307724700
974308133713
1026090645952
1110079542518
125081855540
1325ca490657
14139716cc80
15a2a80bb6c
hex6131fa9c0

26090645952 has 112 divisors (see below), whose sum is σ = 78957992960. Its totient is φ = 7448343552.

The previous prime is 26090645923. The next prime is 26090645989. The reversal of 26090645952 is 25954609062.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×260906459522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1776174 + ... + 1790802.

It is an arithmetic number, because the mean of its divisors is an integer number (704982080).

Almost surely, 226090645952 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 26090645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39478996480).

26090645952 is an abundant number, since it is smaller than the sum of its proper divisors (52867347008).

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

26090645952 is a wasteful number, since it uses less digits than its factorization.

26090645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15978 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 26090645952 in words is "twenty-six billion, ninety million, six hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1327 1344 2654 3981 5308 7962 9289 10616 14629 15924 18578 21232 27867 29258 31848 37156 42464 43887 55734 58516 63696 74312 84928 87774 102403 111468 117032 127392 148624 175548 204806 222936 234064 254784 297248 307209 351096 409612 445872 468128 594496 614418 702192 819224 891744 936256 1228836 1404384 1638448 1783488 2457672 2808768 3276896 4915344 6553792 9830688 19412683 19661376 38825366 58238049 77650732 116476098 135888781 155301464 232952196 271777562 310602928 407666343 465904392 543555124 621205856 815332686 931808784 1087110248 1242411712 1630665372 1863617568 2174220496 3261330744 3727235136 4348440992 6522661488 8696881984 13045322976 26090645952