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5335035156 = 22321119838543
BaseRepresentation
bin1001111011111111…
…00010110100010100
3111202210210212101200
410331333202310110
541411232111111
62241220152500
7246131023233
oct47577426424
914683725350
105335035156
112298540970
12104a838730
136703a5449
14388794b1a
15213586256
hex13dfe2d14

5335035156 has 144 divisors (see below), whose sum is σ = 15674480640. Its totient is φ = 1512959040.

The previous prime is 5335035133. The next prime is 5335035187. The reversal of 5335035156 is 6515305335.

5335035156 is a `hidden beast` number, since 53 + 3 + 503 + 51 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5335035156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620221 + ... + 628763.

It is an arithmetic number, because the mean of its divisors is an integer number (108850560).

Almost surely, 25335035156 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 5335035156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837240320).

5335035156 is an abundant number, since it is smaller than the sum of its proper divisors (10339445484).

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

5335035156 is a wasteful number, since it uses less digits than its factorization.

5335035156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The square root of 5335035156 is about 73041.3249879820. The cubic root of 5335035156 is about 1747.3467445895.

The spelling of 5335035156 in words is "five billion, three hundred thirty-five million, thirty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 83 99 114 132 166 171 198 209 228 249 332 342 396 418 498 627 684 747 836 913 996 1254 1494 1577 1826 1881 2508 2739 2988 3154 3652 3762 4731 5478 6308 7524 8217 8543 9462 10956 14193 16434 17086 17347 18924 25629 28386 32868 34172 34694 51258 52041 56772 69388 76887 93973 102516 104082 153774 156123 162317 187946 208164 281919 307548 312246 324634 375892 486951 563838 624492 649268 709069 845757 973902 1127676 1418138 1460853 1691514 1785487 1947804 2127207 2836276 2921706 3383028 3570974 4254414 5356461 5843412 6381621 7141948 7799759 8508828 10712922 12763242 13472311 15599518 16069383 21425844 23399277 25526484 26944622 31199036 32138766 40416933 46798554 53889244 64277532 70197831 80833866 93597108 121250799 140395662 148195421 161667732 242501598 280791324 296390842 444586263 485003196 592781684 889172526 1333758789 1778345052 2667517578 5335035156