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2468249559072 = 253311259706393
BaseRepresentation
bin100011111010101111001…
…000110110000000100000
322201221222120000001022000
4203322233020312000200
5310414433341342242
65125522002044000
7343216345041303
oct43725710660040
98657876001260
102468249559072
11871862590060
1233a443949600
1314b9a778c79b
148766cdb2b3a
15443114bca4c
hex23eaf236020

2468249559072 has 96 divisors (see below), whose sum is σ = 7853521354560. Its totient is φ = 747954408960.

The previous prime is 2468249559053. The next prime is 2468249559073. The reversal of 2468249559072 is 2709559428642.

2468249559072 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 2 + 4 + 9 + 559 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2468249559073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129843693 + ... + 129862700.

It is an arithmetic number, because the mean of its divisors is an integer number (81807514110).

Almost surely, 22468249559072 is an apocalyptic number.

2468249559072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2468249559072 is an abundant number, since it is smaller than the sum of its proper divisors (5385271795488).

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

2468249559072 is a wasteful number, since it uses less digits than its factorization.

2468249559072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259706423 (or 259706409 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2468249559072 in words is "two trillion, four hundred sixty-eight billion, two hundred forty-nine million, five hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 259706393 519412786 779119179 1038825572 1558238358 2077651144 2337357537 2856770323 3116476716 4155302288 4674715074 5713540646 6232953432 7012072611 8310604576 8570310969 9349430148 11427081292 12465906864 14024145222 17140621938 18698860296 22854162584 24931813728 25710932907 28048290444 34281243876 37397720592 45708325168 51421865814 56096580888 68562487752 74795441184 77132798721 91416650336 102843731628 112193161776 137124975504 154265597442 205687463256 224386323552 274249951008 308531194884 411374926512 617062389768 822749853024 1234124779536 2468249559072