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38360006420076 = 223211179547798807
BaseRepresentation
bin10001011100011011000101…
…00011100110011001101100
312000211011212210200011112100
420232031202203212121230
520011442243120420301
6213330202122135100
711036263501445205
oct1056154243463154
9160734783604470
1038360006420076
111124a4296430a0
124376514651490
131853443a29443
149688c44125ac
15467c724bd286
hex22e3628e666c

38360006420076 has 144 divisors (see below), whose sum is σ = 106392075229440. Its totient is φ = 11557076972160.

The previous prime is 38360006420069. The next prime is 38360006420191. The reversal of 38360006420076 is 67002460006383.

38360006420076 is a `hidden beast` number, since 38 + 3 + 600 + 0 + 6 + 4 + 2 + 0 + 0 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388182265 + ... + 388281071.

It is an arithmetic number, because the mean of its divisors is an integer number (738833855760).

Almost surely, 238360006420076 is an apocalyptic number.

38360006420076 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 38360006420076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196037614720).

38360006420076 is an abundant number, since it is smaller than the sum of its proper divisors (68032068809364).

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

38360006420076 is a wasteful number, since it uses less digits than its factorization.

38360006420076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104484 (or 104479 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 38360006420076 in words is "thirty-eight trillion, three hundred sixty billion, six million, four hundred twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 179 198 358 396 537 716 1074 1611 1969 2148 3222 3938 5477 5907 6444 7876 10954 11814 16431 17721 21908 23628 32862 35442 49293 60247 65724 70884 98586 98807 120494 180741 197172 197614 240988 296421 361482 395228 542223 592842 722964 889263 980383 1084446 1086877 1185684 1778526 1960766 2168892 2173754 2941149 3260631 3557052 3921532 4347508 5882298 6521262 8823447 9781893 10784213 11764596 13042524 17646894 17686453 19563786 21568426 32352639 35293788 35372906 39127572 43136852 53059359 64705278 70745812 97057917 106118718 129410556 159178077 194115834 194550983 212237436 318356154 388231668 389101966 541165939 583652949 636712308 778203932 1082331878 1167305898 1623497817 1750958847 2164663756 2334611796 3246995634 3501917694 4870493451 5952825329 6493991268 7003835388 9740986902 11905650658 17858475987 19481973804 23811301316 35716951974 53575427961 71433903948 96868703081 107150855922 193737406162 214301711844 290606109243 387474812324 581212218486 871818327729 1065555733891 1162424436972 1743636655458 2131111467782 3196667201673 3487273310916 4262222935564 6393334403346 9590001605019 12786668806692 19180003210038 38360006420076