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253430415441252 = 223271234381477457
BaseRepresentation
bin111001100111111001011101…
…111000110011110101100100
31020020022201012101122110210100
4321213321131320303311210
5231204200442323110002
62255000154155024100
7104244512643135630
oct7147713570636544
91206281171573710
10253430415441252
1173829265665715
122451061943b030
13ab54502301baa
144682151995dc0
151e4749017911c
hexe67e5de33d64

253430415441252 has 72 divisors (see below), whose sum is σ = 732191635849856. Its totient is φ = 72402822860544.

The previous prime is 253430415441233. The next prime is 253430415441317. The reversal of 253430415441252 is 252144514034352.

253430415441252 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 3 + 0 + 41 + 544 + 12 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253430415441198 and 253430415441207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37628293 + ... + 43849164.

Almost surely, 2253430415441252 is an apocalyptic number.

It is an amenable number.

253430415441252 is an abundant number, since it is smaller than the sum of its proper divisors (478761220408604).

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

253430415441252 is a wasteful number, since it uses less digits than its factorization.

253430415441252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81489817 (or 81489812 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 253430415441252 in words is "two hundred fifty-three trillion, four hundred thirty billion, four hundred fifteen million, four hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12343 24686 37029 49372 74058 86401 111087 148116 172802 222174 259203 345604 444348 518406 777609 1036812 1555218 3110436 81477457 162954914 244432371 325909828 488864742 570342199 733297113 977729484 1140684398 1466594226 1711026597 2281368796 2933188452 3422053194 5133079791 6844106388 10266159582 20532319164 1005676251751 2011352503502 3017028755253 4022705007004 6034057510506 7039733762257 9051086265759 12068115021012 14079467524514 18102172531518 21119201286771 28158935049028 36204345063036 42238402573542 63357603860313 84476805147084 126715207720626 253430415441252