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36378983916 = 2232111911714129
BaseRepresentation
bin100001111000010110…
…110011110111101100
310110220022110212020200
4201320112303313230
51044001004441131
624413503513500
72425335155412
oct417026636754
9113808425220
1036378983916
1114478a96070
1270732b8890
133579b246b2
141a9170b2b2
15e2db732e6
hex8785b3dec

36378983916 has 144 divisors (see below), whose sum is σ = 105713462400. Its totient is φ = 10432281600.

The previous prime is 36378983891. The next prime is 36378983917. The reversal of 36378983916 is 61938987363.

It is not an unprimeable number, because it can be changed into a prime (36378983917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8808540 + ... + 8812668.

Almost surely, 236378983916 is an apocalyptic number.

36378983916 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 36378983916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52856731200).

36378983916 is an abundant number, since it is smaller than the sum of its proper divisors (69334478484).

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

36378983916 is a wasteful number, since it uses less digits than its factorization.

36378983916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5335 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 36378983916 in words is "thirty-six billion, three hundred seventy-eight million, nine hundred eighty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1171 1254 1881 2342 2508 3513 3762 4129 4684 7026 7524 8258 10539 12387 12881 14052 16516 21078 22249 24774 25762 37161 38643 42156 44498 45419 49548 51524 66747 74322 77286 78451 88996 90838 115929 133494 136257 148644 154572 156902 181676 200241 231858 235353 244739 266988 272514 313804 400482 408771 463716 470706 489478 545028 706059 734217 800964 817542 862961 941412 978956 1412118 1468434 1635084 1725922 2202651 2588883 2824236 2936868 3451844 4405302 4835059 5177766 7766649 8810604 9670118 10355532 14505177 15533298 19340236 29010354 31066596 43515531 53185649 58020708 87031062 91866121 106371298 159556947 174062124 183732242 212742596 275598363 319113894 367464484 478670841 551196726 638227788 826795089 957341682 1010527331 1102393452 1653590178 1914683364 2021054662 3031581993 3307180356 4042109324 6063163986 9094745979 12126327972 18189491958 36378983916