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28931403600900 = 22335231345655957
BaseRepresentation
bin1101001010000000111100…
…00010001101010000000100
310210102211000021001012121000
412211000132002031100010
512243003003310212100
6141310523041453300
76044140103021343
oct645003602152004
9123384007035530
1028931403600900
119244815102239
1232b3124641230
13131b2b1768858
147204048d9b5a
1535288b2a8900
hex1a501e08d404

28931403600900 has 144 divisors (see below), whose sum is σ = 96009398894080. Its totient is φ = 7466168649600.

The previous prime is 28931403600893. The next prime is 28931403600959. The reversal of 28931403600900 is 900630413982.

It is a happy number.

28931403600900 is a `hidden beast` number, since 2 + 8 + 9 + 31 + 4 + 0 + 3 + 600 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×289314036009002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 172744279 + ... + 172911678.

Almost surely, 228931403600900 is an apocalyptic number.

28931403600900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28931403600900 is an abundant number, since it is smaller than the sum of its proper divisors (67077995293180).

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

28931403600900 is a wasteful number, since it uses less digits than its factorization.

28931403600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345656011 (or 345655998 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 28931403600900 in words is "twenty-eight trillion, nine hundred thirty-one billion, four hundred three million, six hundred thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 180 186 225 270 279 300 310 372 450 465 540 558 620 675 775 837 900 930 1116 1350 1395 1550 1674 1860 2325 2700 2790 3100 3348 4185 4650 5580 6975 8370 9300 13950 16740 20925 27900 41850 83700 345655957 691311914 1036967871 1382623828 1728279785 2073935742 3110903613 3456559570 4147871484 5184839355 6221807226 6913119140 8641398925 9332710839 10369678710 10715334667 12443614452 15554518065 17282797850 18665421678 20739357420 21430669334 25924196775 31109036130 32146004001 34565595700 37330843356 42861338668 46663554195 51848393550 53576673335 62218072260 64292008002 77772590325 93327108390 96438012003 103696787100 107153346670 128584016004 155545180650 160730020005 186654216780 192876024006 214306693340 233317770975 267883366675 289314036009 311090361300 321460040010 385752048012 466635541950 482190060015 535766733350 578628072018 642920080020 803650100025 933271083900 964380120030 1071533466700 1157256144036 1446570180045 1607300200050 1928760240060 2410950300075 2893140360090 3214600400100 4821900600150 5786280720180 7232850900225 9643801200300 14465701800450 28931403600900