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252755714757 = 372131761912569
BaseRepresentation
bin1110101101100101101…
…0100010001011000101
3220011101222110200002210
43223121122202023011
513120120430333012
6312040412054033
724155344061400
oct3533132421305
9804358420083
10252755714757
1198214014567
1240b9b464319
131aab0c81c40
14c33a7c8d37
156894c0723c
hex3ad96a22c5

252755714757 has 96 divisors (see below), whose sum is σ = 447777590400. Its totient is φ = 125266563072.

The previous prime is 252755714737. The next prime is 252755714773. The reversal of 252755714757 is 757417557252.

252755714757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252755714757 - 28 = 252755714501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252755714697 and 252755714706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252755714737) 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 95 ways as a sum of consecutive naturals, for example, 20103169 + ... + 20115737.

It is an arithmetic number, because the mean of its divisors is an integer number (4664349900).

Almost surely, 2252755714757 is an apocalyptic number.

It is an amenable number.

252755714757 is a deficient number, since it is larger than the sum of its proper divisors (195021875643).

252755714757 is a wasteful number, since it uses less digits than its factorization.

252755714757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235 (or 13228 counting only the distinct ones).

The product of its digits is 24010000, while the sum is 57.

The spelling of 252755714757 in words is "two hundred fifty-two billion, seven hundred fifty-five million, seven hundred fourteen thousand, seven hundred fifty-seven".

Divisors: 1 3 7 13 17 21 39 49 51 91 119 147 221 273 357 619 637 663 833 1547 1857 1911 2499 4333 4641 8047 10523 10829 12569 12999 24141 30331 31569 32487 37707 56329 73661 87983 90993 136799 163397 168987 213673 220983 263949 394303 410397 490191 515627 615881 641019 957593 1143779 1182909 1495711 1546881 1847643 2777749 2872779 3431337 4487133 6703151 7780211 8006453 8333247 10469977 19444243 20109453 23340633 24019359 31409931 54461477 58332729 101142743 132263587 136109701 163384431 303428229 381230339 396790761 408329103 707999201 925845109 1143691017 1719426631 2123997603 2777535327 4955994407 5158279893 6480915763 12035986417 14867983221 19442747289 36107959251 84251904919 252755714757