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38360025358016 = 2629711072720563
BaseRepresentation
bin10001011100011011000111…
…01011110101111011000000
312000211011221010022022111112
420232031203223311323000
520011442312442424031
6213330204040102452
711036264121431645
oct1056154353657300
9160734833268445
1038360025358016
111124a4392a848a
12437651aa64a28
13185344792a31b
149688c6b41dcc
15467c73eae62b
hex22e363af5ec0

38360025358016 has 112 divisors (see below), whose sum is σ = 80600952579840. Its totient is φ = 18087166755840.

The previous prime is 38360025358001. The next prime is 38360025358021. The reversal of 38360025358016 is 61085352006383.

It is a super-3 number, since 3×383600253580163 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12739751 + ... + 15460313.

It is an arithmetic number, because the mean of its divisors is an integer number (719651362320).

Almost surely, 238360025358016 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 38360025358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40300476289920).

38360025358016 is an abundant number, since it is smaller than the sum of its proper divisors (42240927221824).

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

38360025358016 is a wasteful number, since it uses less digits than its factorization.

38360025358016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720782 (or 2720772 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 38360025358016 in words is "thirty-eight trillion, three hundred sixty billion, twenty-five million, three hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 71 107 116 142 214 232 284 428 464 568 856 928 1136 1712 1856 2059 2272 3103 3424 4118 4544 6206 6848 7597 8236 12412 15194 16472 24824 30388 32944 49648 60776 65888 99296 121552 131776 198592 220313 243104 440626 486208 881252 1762504 2720563 3525008 5441126 7050016 10882252 14100032 21764504 43529008 78896327 87058016 157792654 174116032 193159973 291100241 315585308 386319946 582200482 631170616 772639892 1164400964 1262341232 1545279784 2328801928 2524682464 3090559568 4657603856 5049364928 5601639217 6181119136 8441906989 9315207712 11203278434 12362238272 16883813978 18630415424 20668117111 22406556868 33767627956 41336234222 44813113736 67535255912 82672468444 89626227472 135070511824 165344936888 179252454944 270141023648 330689873776 358504909888 540282047296 599375396219 661379747552 1198750792438 1322759495104 2397501584876 4795003169752 9590006339504 19180012679008 38360025358016