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1006097637340 = 22586358290709
BaseRepresentation
bin11101010010000000001…
…01111001111111011100
310120011220200012111102001
432221000011321333130
5112440441443343330
62050110032012044
7132455015546245
oct16510005717734
93504820174361
101006097637340
113587579840a4
12142ba4091024
1373b4a65b883
14369a41cdccc
151b286c389ca
hexea40179fdc

1006097637340 has 24 divisors (see below), whose sum is σ = 2115253284480. Its totient is φ = 401972722368.

The previous prime is 1006097637331. The next prime is 1006097637359. The reversal of 1006097637340 is 437367906001.

It is a super-2 number, since 2×10060976373402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29128095 + ... + 29162614.

It is an arithmetic number, because the mean of its divisors is an integer number (88135553520).

Almost surely, 21006097637340 is an apocalyptic number.

1006097637340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006097637340 is an abundant number, since it is smaller than the sum of its proper divisors (1109155647140).

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

1006097637340 is a wasteful number, since it uses less digits than its factorization.

1006097637340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58291581 (or 58291579 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 46.

The spelling of 1006097637340 in words is "one trillion, six billion, ninety-seven million, six hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 863 1726 3452 4315 8630 17260 58290709 116581418 233162836 291453545 582907090 1165814180 50304881867 100609763734 201219527468 251524409335 503048818670 1006097637340