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60514108116 = 223711216373637
BaseRepresentation
bin111000010110111011…
…000000001011010100
312210012022222012111120
4320112323000023110
51442413102424431
643444431203540
74241411301120
oct702673001324
9183168865446
1060514108116
1123733700100
12b88a0765b0
135925111987
142d00c7c580
151892956196
hexe16ec02d4

60514108116 has 144 divisors (see below), whose sum is σ = 177531838848. Its totient is φ = 15704029440.

The previous prime is 60514108087. The next prime is 60514108129. The reversal of 60514108116 is 61180141506.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 16636650 + ... + 16640286.

It is an arithmetic number, because the mean of its divisors is an integer number (1232859992).

Almost surely, 260514108116 is an apocalyptic number.

60514108116 is a gapful number since it is divisible by the number (66) 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 60514108116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88765919424).

60514108116 is an abundant number, since it is smaller than the sum of its proper divisors (117017730732).

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

60514108116 is a wasteful number, since it uses less digits than its factorization.

60514108116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 60514108116 in words is "sixty billion, five hundred fourteen million, one hundred eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1637 1694 2541 3274 3388 3637 4911 5082 6548 7274 9822 10164 10911 11459 14548 18007 19644 21822 22918 25459 34377 36014 40007 43644 45836 50918 54021 68754 72028 76377 80014 101836 108042 120021 126049 137508 152754 160028 198077 216084 240042 252098 280049 305508 378147 396154 440077 480084 504196 560098 594231 756294 792308 840147 880154 1120196 1188462 1320231 1386539 1512588 1680294 1760308 2376924 2640462 2773078 3080539 3360588 4159617 5280924 5546156 5953769 6161078 8319234 9241617 11907538 12322156 16638468 17861307 18483234 23815076 35722614 36966468 41676383 65491459 71445228 83352766 125029149 130982918 166705532 196474377 250058298 261965836 392948754 458440213 500116596 720406049 785897508 916880426 1375320639 1440812098 1833760852 2161218147 2750641278 2881624196 4322436294 5042842343 5501282556 8644872588 10085684686 15128527029 20171369372 30257054058 60514108116