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113861837808 = 243310312720149
BaseRepresentation
bin110101000001010110…
…0011100001111110000
3101212220020010122221000
41222002230130033300
53331142112302213
6124150222202000
711140413436545
oct1520254341760
9355806118830
10113861837808
114431a048004
121a098123300
13a977605934
145722050bcc
152e6617ac73
hex1a82b1c3f0

113861837808 has 160 divisors (see below), whose sum is σ = 332613632000. Its totient is φ = 37287661824.

The previous prime is 113861837797. The next prime is 113861837813. The reversal of 113861837808 is 808738168311.

It is a happy number.

113861837808 is a `hidden beast` number, since 1 + 1 + 386 + 183 + 7 + 80 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5640918 + ... + 5661066.

It is an arithmetic number, because the mean of its divisors is an integer number (2078835200).

Almost surely, 2113861837808 is an apocalyptic number.

113861837808 is a gapful number since it is divisible by the number (18) 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 113861837808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166306816000).

113861837808 is an abundant number, since it is smaller than the sum of its proper divisors (218751794192).

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

113861837808 is a wasteful number, since it uses less digits than its factorization.

113861837808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20396 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 113861837808 in words is "one hundred thirteen billion, eight hundred sixty-one million, eight hundred thirty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 127 144 206 216 254 309 381 412 432 508 618 762 824 927 1016 1143 1236 1524 1648 1854 2032 2286 2472 2781 3048 3429 3708 4572 4944 5562 6096 6858 7416 9144 11124 13081 13716 14832 18288 20149 22248 26162 27432 39243 40298 44496 52324 54864 60447 78486 80596 104648 117729 120894 156972 161192 181341 209296 235458 241788 313944 322384 353187 362682 470916 483576 544023 627888 706374 725364 941832 967152 1088046 1412748 1450728 1883664 2075347 2176092 2558923 2825496 2901456 4150694 4352184 5117846 5650992 6226041 7676769 8301388 8704368 10235692 12452082 15353538 16602776 18678123 20471384 23030307 24904164 30707076 33205552 37356246 40942768 46060614 49808328 56034369 61414152 69090921 74712492 92121228 99616656 112068738 122828304 138181842 149424984 184242456 224137476 263569069 276363684 298849968 368484912 448274952 527138138 552727368 790707207 896549904 1054276276 1105454736 1581414414 2108552552 2372121621 3162828828 4217105104 4744243242 6325657656 7116364863 9488486484 12651315312 14232729726 18976972968 28465459452 37953945936 56930918904 113861837808