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2406264004200 = 233527572920001
BaseRepresentation
bin100011000001000000100…
…000101101111001101000
322112000222200020121022110
4203001000200231321220
5303411012041113300
65041231124322320
7335563315364010
oct43010040557150
98460880217273
102406264004200
11848544332261
1232a424b433a0
13145ba9875174
148466c944c40
15428d47ac550
hex2304082de68

2406264004200 has 96 divisors (see below), whose sum is σ = 8525049629760. Its totient is φ = 550003200000.

The previous prime is 2406264004187. The next prime is 2406264004267. The reversal of 2406264004200 is 24004626042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286455801 + ... + 286464200.

It is an arithmetic number, because the mean of its divisors is an integer number (88802600310).

Almost surely, 22406264004200 is an apocalyptic number.

2406264004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2406264004200 is an abundant number, since it is smaller than the sum of its proper divisors (6118785625560).

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

2406264004200 is a wasteful number, since it uses less digits than its factorization.

2406264004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572920027 (or 572920018 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 2406264004200 in words is "two trillion, four hundred six billion, two hundred sixty-four million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 572920001 1145840002 1718760003 2291680004 2864600005 3437520006 4010440007 4583360008 5729200010 6875040012 8020880014 8593800015 11458400020 12031320021 13750080024 14323000025 16041760028 17187600030 20052200035 22916800040 24062640042 28646000050 32083520056 34375200060 40104400070 42969000075 48125280084 57292000100 60156600105 68750400120 80208800140 85938000150 96250560168 100261000175 114584000200 120313200210 160417600280 171876000300 200522000350 240626400420 300783000525 343752000600 401044000700 481252800840 601566001050 802088001400 1203132002100 2406264004200