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2480129757 = 3274114773
BaseRepresentation
bin1001001111010011…
…1100011011011101
320101211210122102200
42103310330123131
520034403123012
61050033442113
7115313520000
oct22364743335
96354718380
102480129757
111062a72216
12592710339
13306a93101
1419755b537
15e7b033dc
hex93d3c6dd

2480129757 has 30 divisors (see below), whose sum is σ = 4179265662. Its totient is φ = 1417204656.

The previous prime is 2480129747. The next prime is 2480129759. The reversal of 2480129757 is 7579210842.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2468698596 + 11431161 = 49686^2 + 3381^2 .

It is not a de Polignac number, because 2480129757 - 28 = 2480129501 is a prime.

It is a super-2 number, since 2×24801297572 = 12302087223113758098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480129759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 35778 + ... + 78995.

Almost surely, 22480129757 is an apocalyptic number.

It is an amenable number.

2480129757 is a deficient number, since it is larger than the sum of its proper divisors (1699135905).

2480129757 is an equidigital number, since it uses as much as digits as its factorization.

2480129757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114807 (or 114783 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2480129757 is about 49800.9011665452. The cubic root of 2480129757 is about 1353.6034970616.

The spelling of 2480129757 in words is "two billion, four hundred eighty million, one hundred twenty-nine thousand, seven hundred fifty-seven".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2401 3087 7203 21609 114773 344319 803411 1032957 2410233 5623877 7230699 16871631 39367139 50614893 118101417 275569973 354304251 826709919 2480129757