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2546140992 = 26335337567
BaseRepresentation
bin1001011111000011…
…0000011101000000
320120110000100211020
42113300300131000
520203303002432
61100352345440
7120044561403
oct22760603500
96513010736
102546140992
11109725945a
125b0845280
13317666205
141a2221d3a
15ed7e222c
hex97c30740

2546140992 has 56 divisors (see below), whose sum is σ = 6755928576. Its totient is φ = 846286848.

The previous prime is 2546140981. The next prime is 2546141023. The reversal of 2546140992 is 2990416452.

It is a super-2 number, since 2×25461409922 = 12965667902285488128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48993 + ... + 86559.

Almost surely, 22546140992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377964288).

2546140992 is an abundant number, since it is smaller than the sum of its proper divisors (4209787584).

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

2546140992 is a wasteful number, since it uses less digits than its factorization.

2546140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37935 (or 37925 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2546140992 is about 50459.3003518677. The cubic root of 2546140992 is about 1365.5076880846.

The spelling of 2546140992 in words is "two billion, five hundred forty-six million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 353 706 1059 1412 2118 2824 4236 5648 8472 11296 16944 22592 33888 37567 67776 75134 112701 150268 225402 300536 450804 601072 901608 1202144 1803216 2404288 3606432 7212864 13261151 26522302 39783453 53044604 79566906 106089208 159133812 212178416 318267624 424356832 636535248 848713664 1273070496 2546140992