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2558156240664 = 23331088272
BaseRepresentation
bin100101001110011101111…
…111100111011100011000
3100001120001022021200122000
4211032131333213130120
5313403100444200124
65235111210201000
7352551332161443
oct45163577473430
910046038250560
102558156240664
118a69a95636a2
12353955423160
1315730516a56b
148bb5b73c65a
15468245646c9
hex2539dfe7718

2558156240664 has 48 divisors (see below), whose sum is σ = 7106054854200. Its totient is φ = 852710911344.

The previous prime is 2558156240663. The next prime is 2558156240707. The reversal of 2558156240664 is 4660426518552.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2558156240664 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 1 + 5 + 624 + 0 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2558156240664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558156240663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23452219 + ... + 23561045.

Almost surely, 22558156240664 is an apocalyptic number.

2558156240664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2558156240664 is an abundant number, since it is smaller than the sum of its proper divisors (4547898613536).

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

2558156240664 is an frugal number, since it uses more digits than its factorization.

2558156240664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217669 (or 108832 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

Multiplying 2558156240664 by its sum of digits (54), we get a square (138140436995856 = 117533162).

2558156240664 divided by its sum of digits (54) gives a square (47373263716 = 2176542).

The spelling of 2558156240664 in words is "two trillion, five hundred fifty-eight billion, one hundred fifty-six million, two hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 108827 217654 326481 435308 652962 870616 979443 1305924 1958886 2611848 2938329 3917772 5876658 7835544 11753316 23506632 11843315929 23686631858 35529947787 47373263716 71059895574 94746527432 106589843361 142119791148 213179686722 284239582296 319769530083 426359373444 639539060166 852718746888 1279078120332 2558156240664