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36440106764 = 221719223233277
BaseRepresentation
bin100001111011111111…
…111110011100001100
310111001120111020000212
4201323333332130030
51044112131404024
624423525541552
72430006540215
oct417377763414
9114046436025
1036440106764
11144aa543616
12708b8748b8
1335896a5769
141a9989c40c
15e341e8a0e
hex87bffe70c

36440106764 has 144 divisors (see below), whose sum is σ = 74949271488. Its totient is φ = 15416856576.

The previous prime is 36440106761. The next prime is 36440106779. The reversal of 36440106764 is 46760104463.

It is not an unprimeable number, because it can be changed into a prime (36440106761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131552594 + ... + 131552870.

It is an arithmetic number, because the mean of its divisors is an integer number (520481052).

Almost surely, 236440106764 is an apocalyptic number.

36440106764 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36440106764 is an abundant number, since it is smaller than the sum of its proper divisors (38509164724).

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

36440106764 is a wasteful number, since it uses less digits than its factorization.

36440106764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 36440106764 in words is "thirty-six billion, four hundred forty million, one hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 4 17 19 23 34 38 46 68 76 92 233 277 323 361 391 437 466 554 646 722 782 874 932 1108 1292 1444 1564 1748 3961 4427 4709 5263 5359 6137 6371 7429 7922 8303 8854 9418 10526 10718 12274 12742 14858 15844 16606 17708 18836 21052 21436 24548 25484 29716 33212 64541 75259 84113 89471 91103 99997 101821 108307 121049 129082 141151 150518 168226 178942 182206 199994 203642 216614 242098 258164 282302 301036 336452 357884 364412 399988 407284 433228 484196 564604 1097197 1226279 1429921 1484443 1699949 1730957 1934599 2057833 2194394 2299931 2452558 2859842 2968886 3399898 3461914 3869198 4115666 4388788 4599862 4905116 5719684 5937772 6799796 6923828 7738396 8231332 9199724 20846743 23299301 25235531 28204417 32888183 39098827 41693486 46598602 50471062 56408834 65776366 78197654 83386972 93197204 100942124 112817668 131552732 156395308 396088117 479475089 535883923 792176234 958950178 1071767846 1584352468 1917900356 2143535692 9110026691 18220053382 36440106764