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36145095426 = 2341141594877
BaseRepresentation
bin100001101010011010…
…100110001100000010
310110022000101002120000
4201222122212030002
51043011121023201
624334350500430
72416465145646
oct415232461402
9113260332500
1036145095426
1114368a671a0
127008b04716
13354053353b
141a6c626c26
15e18372d86
hex86a6a6302

36145095426 has 80 divisors (see below), whose sum is σ = 88394042880. Its totient is φ = 10948180320.

The previous prime is 36145095419. The next prime is 36145095431. The reversal of 36145095426 is 62459054163.

36145095426 is a `hidden beast` number, since 3 + 61 + 45 + 0 + 9 + 542 + 6 = 666.

It is a super-2 number, since 2×361450954262 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7408900 + ... + 7413776.

It is an arithmetic number, because the mean of its divisors is an integer number (1104925536).

Almost surely, 236145095426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36145095426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44197021440).

36145095426 is an abundant number, since it is smaller than the sum of its proper divisors (52248947454).

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

36145095426 is a wasteful number, since it uses less digits than its factorization.

36145095426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 36145095426 in words is "thirty-six billion, one hundred forty-five million, ninety-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 4159 4877 8318 9754 12477 14631 24954 29262 37431 43893 45749 53647 74862 87786 91498 107294 112293 131679 137247 160941 224586 263358 274494 321882 336879 395037 411741 482823 673758 790074 823482 965646 1235223 1448469 2470446 2896938 3705669 4345407 7411338 8690814 20283443 40566886 60850329 121700658 182550987 223117873 365101974 446235746 547652961 669353619 1095305922 1338707238 1642958883 2008060857 3285917766 4016121714 6024182571 12048365142 18072547713 36145095426