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1001055599952 = 24329201714199
BaseRepresentation
bin11101001000100111001…
…00000011110101010000
310112200220021201110101120
432210103210003311100
5112400130213144302
62043513435402240
7132216043126632
oct16442344036520
93480807643346
101001055599952
113565aa874851
121420175b3380
1373525ba1cb5
1436646708a52
151b08e27b9bc
hexe913903d50

1001055599952 has 40 divisors (see below), whose sum is σ = 2586152481600. Its totient is φ = 333673305600.

The previous prime is 1001055599939. The next prime is 1001055599987. The reversal of 1001055599952 is 2599955501001.

It is a super-2 number, since 2×10010555999522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001055599895 and 1001055599904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1044549 + ... + 1758747.

It is an arithmetic number, because the mean of its divisors is an integer number (64653812040).

Almost surely, 21001055599952 is an apocalyptic number.

1001055599952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001055599952 is an abundant number, since it is smaller than the sum of its proper divisors (1585096881648).

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

1001055599952 is a wasteful number, since it uses less digits than its factorization.

1001055599952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743411 (or 743405 counting only the distinct ones).

The product of its (nonzero) digits is 911250, while the sum is 51.

The spelling of 1001055599952 in words is "one trillion, one billion, fifty-five million, five hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 29201 58402 87603 116804 175206 233608 350412 467216 700824 714199 1401648 1428398 2142597 2856796 4285194 5713592 8570388 11427184 17140776 34281552 20855324999 41710649998 62565974997 83421299996 125131949994 166842599992 250263899988 333685199984 500527799976 1001055599952