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2368832006240 = 255710120940877
BaseRepresentation
bin100010011110001001011…
…000111110100001100000
322101110100222100002100122
4202132021120332201200
5302302331443144430
65012120522535412
7333066602554430
oct42361130764140
98343328302318
102368832006240
11833685a04157
12323119067568
131424c284134b
148291b44a2c0
1541943484ee5
hex2278963e860

2368832006240 has 96 divisors (see below), whose sum is σ = 6459171937344. Its totient is φ = 804129638400.

The previous prime is 2368832006237. The next prime is 2368832006257. The reversal of 2368832006240 is 426002388632.

It is a super-2 number, since 2×23688320062402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2368832006191 and 2368832006200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10357319 + ... + 10583558.

It is an arithmetic number, because the mean of its divisors is an integer number (67283041014).

Almost surely, 22368832006240 is an apocalyptic number.

2368832006240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2368832006240 is an abundant number, since it is smaller than the sum of its proper divisors (4090339931104).

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

2368832006240 is a wasteful number, since it uses less digits than its factorization.

2368832006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20941000 (or 20940992 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 2368832006240 in words is "two trillion, three hundred sixty-eight billion, eight hundred thirty-two million, six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 202 224 280 404 505 560 707 808 1010 1120 1414 1616 2020 2828 3232 3535 4040 5656 7070 8080 11312 14140 16160 22624 28280 56560 113120 20940877 41881754 83763508 104704385 146586139 167527016 209408770 293172278 335054032 418817540 586344556 670108064 732930695 837635080 1172689112 1465861390 1675270160 2115028577 2345378224 2931722780 3350540320 4230057154 4690756448 5863445560 8460114308 10575142885 11726891120 14805200039 16920228616 21150285770 23453782240 29610400078 33840457232 42300571540 59220800156 67680914464 74026000195 84601143080 118441600312 148052000390 169202286160 236883200624 296104000780 338404572320 473766401248 592208001560 1184416003120 2368832006240