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253460106552 = 233191513681017
BaseRepresentation
bin1110110000001101100…
…1100100110100111000
3220020020001220110222210
43230003121210310320
513123041241402202
6312234333415120
724211656233652
oct3540331446470
9806201813883
10253460106552
1198545693544
124115733a4a0
131ab93b9b313
14c3a61876d2
1568d6995c6c
hex3b03664d38

253460106552 has 64 divisors (see below), whose sum is σ = 671417683200. Its totient is φ = 79509945600.

The previous prime is 253460106521. The next prime is 253460106589. The reversal of 253460106552 is 255601064352.

It is a super-2 number, since 2×2534601065522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253460106552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771653 + ... + 1909364.

It is an arithmetic number, because the mean of its divisors is an integer number (10490901300).

Almost surely, 2253460106552 is an apocalyptic number.

It is an amenable number.

253460106552 is an abundant number, since it is smaller than the sum of its proper divisors (417957576648).

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

253460106552 is a wasteful number, since it uses less digits than its factorization.

253460106552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681196 (or 3681192 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 253460106552 in words is "two hundred fifty-three billion, four hundred sixty million, one hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 151 152 228 302 453 456 604 906 1208 1812 2869 3624 5738 8607 11476 17214 22952 34428 68856 3681017 7362034 11043051 14724068 22086102 29448136 44172204 69939323 88344408 139878646 209817969 279757292 419635938 555833567 559514584 839271876 1111667134 1667500701 1678543752 2223334268 3335001402 4446668536 6670002804 10560837773 13340005608 21121675546 31682513319 42243351092 63365026638 84486702184 126730053276 253460106552