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2710139481 = 3272372672
BaseRepresentation
bin1010000110001001…
…0111001001011001
320222212121100110100
42201202113021121
521022243430411
61124531410013
7124105543200
oct24142271131
96885540410
102710139481
1111708919a5
12637753909
1334262693a
141b9d12237
1510cdd9456
hexa1897259

2710139481 has 81 divisors (see below), whose sum is σ = 4751068959. Its totient is φ = 1484306208.

The previous prime is 2710139449. The next prime is 2710139491. The reversal of 2710139481 is 1849310172.

It is a happy number.

The square root of 2710139481 is 52059.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2425070025 + 285069456 = 49245^2 + 16884^2 .

It is not a de Polignac number, because 2710139481 - 25 = 2710139449 is a prime.

It is a super-2 number, since 2×27101394812 = 14689712012949898722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2710139491) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40449810 + ... + 40449876.

Almost surely, 22710139481 is an apocalyptic number.

2710139481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2710139481 is the 52059-th square number.

2710139481 is the 26030-th centered octagonal number.

It is an amenable number.

2710139481 is a deficient number, since it is larger than the sum of its proper divisors (2040929478).

2710139481 is an equidigital number, since it uses as much as digits as its factorization.

2710139481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 2710139481 is about 1394.2175579033.

Multiplying 2710139481 by its sum of digits (36), we get a square (97565021316 = 3123542).

The spelling of 2710139481 in words is "two billion, seven hundred ten million, one hundred thirty-nine thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 37 49 63 67 111 147 201 259 333 441 469 603 777 1369 1407 1813 2331 2479 3283 4107 4221 4489 5439 7437 9583 9849 12321 13467 16317 17353 22311 28749 29547 31423 40401 52059 67081 86247 91723 94269 121471 156177 166093 201243 219961 275169 282807 364413 498279 603729 642061 659883 825507 1093239 1162651 1494837 1926183 1979649 3487953 4494427 5778549 6145441 8138557 10463859 13483281 18436323 24415671 40449843 43018087 55308969 73247013 129054261 301126609 387162783 903379827 2710139481