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335130199956 = 22344139296421
BaseRepresentation
bin1001110000001110101…
…00010000011110010100
31012001000210121002110000
410320013110100132110
520442321312344311
6413542351131300
733132560461356
oct4700724203624
91161023532400
10335130199956
1111a145296502
1254b4a513b30
13257ab00b086
1412312a610d6
158ab68ac056
hex4e07510794

335130199956 has 120 divisors (see below), whose sum is σ = 897832976040. Its totient is φ = 108940723200.

The previous prime is 335130199949. The next prime is 335130199967. The reversal of 335130199956 is 659991031533.

335130199956 is a `hidden beast` number, since 33 + 513 + 0 + 1 + 9 + 9 + 95 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13845287556 + 321284912400 = 117666^2 + 566820^2 .

It is a super-2 number, since 2×3351301999562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 52189626 + ... + 52196046.

It is an arithmetic number, because the mean of its divisors is an integer number (7481941467).

Almost surely, 2335130199956 is an apocalyptic number.

335130199956 is a gapful number since it is divisible by the number (36) 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 335130199956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448916488020).

335130199956 is an abundant number, since it is smaller than the sum of its proper divisors (562702776084).

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

335130199956 is a wasteful number, since it uses less digits than its factorization.

335130199956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 2952450, while the sum is 54.

The spelling of 335130199956 in words is "three hundred thirty-five billion, one hundred thirty million, one hundred ninety-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 3929 4428 6421 6642 7858 11787 12842 13284 15716 19263 23574 25684 35361 38526 47148 57789 70722 77052 106083 115578 141444 161089 173367 212166 231156 263261 318249 322178 346734 424332 483267 520101 526522 636498 644356 693468 789783 966534 1040202 1053044 1272996 1449801 1579566 1933068 2080404 2369349 2899602 3159132 4349403 4738698 5799204 7108047 8698806 9477396 13048209 14216094 17397612 21324141 25228109 26096418 28432188 42648282 50456218 52192836 75684327 85296564 100912436 151368654 227052981 302737308 454105962 681158943 908211924 1034352469 1362317886 2043476829 2068704938 2724635772 3103057407 4086953658 4137409876 6206114814 8173907316 9309172221 12412229628 18618344442 27927516663 37236688884 55855033326 83782549989 111710066652 167565099978 335130199956