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26245136430 = 2345194339659
BaseRepresentation
bin11000011100010101…
…010000000000101110
32111202001212001220000
4120130111100000232
5412222223331210
620020140205130
71616243656512
oct303425200056
974661761800
1026245136430
11101487714a7
1251055397a6
1326234a2436
1413ad8a6142
15a39176ac0
hex61c55002e

26245136430 has 160 divisors (see below), whose sum is σ = 76013942400. Its totient is φ = 6475992768.

The previous prime is 26245136419. The next prime is 26245136431. The reversal of 26245136430 is 3463154262.

26245136430 is a `hidden beast` number, since 2 + 6 + 2 + 4 + 5 + 1 + 3 + 643 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26245136431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 641941 + ... + 681599.

It is an arithmetic number, because the mean of its divisors is an integer number (475087140).

Almost surely, 226245136430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26245136430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38006971200).

26245136430 is an abundant number, since it is smaller than the sum of its proper divisors (49768805970).

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

26245136430 is a wasteful number, since it uses less digits than its factorization.

26245136430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39740 (or 39731 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 26245136430 in words is "twenty-six billion, two hundred forty-five million, one hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 43 45 54 57 81 86 90 95 114 129 135 162 171 190 215 258 270 285 342 387 405 430 513 570 645 774 810 817 855 1026 1161 1290 1539 1634 1710 1935 2322 2451 2565 3078 3483 3870 4085 4902 5130 5805 6966 7353 7695 8170 11610 12255 14706 15390 17415 22059 24510 34830 36765 39659 44118 66177 73530 79318 110295 118977 132354 198295 220590 237954 330885 356931 396590 594885 661770 713862 753521 1070793 1189770 1507042 1705337 1784655 2141586 2260563 3212379 3410674 3569310 3767605 4521126 5116011 5353965 6424758 6781689 7535210 8526685 10232022 10707930 11302815 13563378 15348033 16061895 17053370 20345067 22605630 25580055 30696066 32123790 32401403 33908445 40690134 46044099 51160110 61035201 64802806 67816890 76740165 92088198 97204209 101725335 122070402 138132297 153480330 162007015 194408418 203450670 230220495 276264594 291612627 305176005 324014030 460440990 486021045 583225254 610352010 690661485 874837881 972042090 1381322970 1458063135 1749675762 2624513643 2916126270 4374189405 5249027286 8748378810 13122568215 26245136430