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2624000640240 = 243571561905143
BaseRepresentation
bin100110001011110010101…
…000000100010011110000
3100021212000010010202101210
4212023302220010103300
5320442423130441430
65325241012200120
7360402116301120
oct46136250042360
910255003122353
102624000640240
11921917a54651
12364670609040
13160599683445
1491006498c80
15483c9e162b0
hex262f2a044f0

2624000640240 has 80 divisors (see below), whose sum is σ = 9296459417088. Its totient is φ = 599771574528.

The previous prime is 2624000640203. The next prime is 2624000640241. The reversal of 2624000640240 is 420460004262.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 2624000640198 and 2624000640207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2624000640241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 780950892 + ... + 780954251.

Almost surely, 22624000640240 is an apocalyptic number.

2624000640240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2624000640240 is an abundant number, since it is smaller than the sum of its proper divisors (6672458776848).

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

2624000640240 is a wasteful number, since it uses less digits than its factorization.

2624000640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561905166 (or 1561905160 counting only the distinct ones).

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

The spelling of 2624000640240 in words is "two trillion, six hundred twenty-four billion, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1561905143 3123810286 4685715429 6247620572 7809525715 9371430858 10933336001 12495241144 15619051430 18742861716 21866672002 23428577145 24990482288 31238102860 32800008003 37485723432 43733344004 46857154290 54666680005 62476205720 65600016006 74971446864 87466688008 93714308580 109333360010 124952411440 131200032012 164000040015 174933376016 187428617160 218666720020 262400064024 328000080030 374857234320 437333440040 524800128048 656000160060 874666880080 1312000320120 2624000640240