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1005251314352 = 241775112134057
BaseRepresentation
bin11101010000011011010…
…01011100001010110000
310120002201200200211112012
432220031221130022300
5112432223314024402
62045450040222052
7132425031121265
oct16501551341260
93502650624465
101005251314352
1135836318410a
121429a876a928
1373a4420a13c
1436923a4726c
151b2377b1452
hexea0da5c2b0

1005251314352 has 80 divisors (see below), whose sum is σ = 2067201297792. Its totient is φ = 471923712000.

The previous prime is 1005251314351. The next prime is 1005251314357. The reversal of 1005251314352 is 2534131525001.

It is not an unprimeable number, because it can be changed into a prime (1005251314351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247779908 + ... + 247783964.

Almost surely, 21005251314352 is an apocalyptic number.

It is an amenable number.

1005251314352 is an abundant number, since it is smaller than the sum of its proper divisors (1061949983440).

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

1005251314352 is a wasteful number, since it uses less digits than its factorization.

1005251314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 1005251314352 its reverse (2534131525001), we get a palindrome (3539382839353).

The spelling of 1005251314352 in words is "one trillion, five billion, two hundred fifty-one million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 751 1213 1502 2426 3004 4057 4852 6008 8114 9704 12016 12767 16228 19408 20621 25534 32456 41242 51068 64912 68969 82484 102136 137938 164968 204272 275876 329936 551752 910963 1103504 1821926 3046807 3643852 4921141 6093614 7287704 9842282 12187228 14575408 15486371 19684564 24374456 30972742 39369128 48748912 51795719 61945484 78738256 83659397 103591438 123890968 167318794 207182876 247781936 334637588 414365752 669275176 828731504 1338550352 3695776891 7391553782 14783107564 29566215128 59132430256 62828207147 125656414294 251312828588 502625657176 1005251314352