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10726727640 = 2335293082393
BaseRepresentation
bin10011111110101110…
…01101111111011000
31000200120020020000220
421333113031333120
5133432020241030
64532223000040
7526550452266
oct117727157730
930616206026
1010726727640
114604a5a272
1220b4439020
13101c427225
1473a897436
1542baaea10
hex27f5cdfd8

10726727640 has 64 divisors (see below), whose sum is σ = 33289855200. Its totient is φ = 2761823232.

The previous prime is 10726727639. The next prime is 10726727653. The reversal of 10726727640 is 4672762701.

It is a junction number, because it is equal to n+sod(n) for n = 10726727592 and 10726727601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537717 + ... + 1544676.

Almost surely, 210726727640 is an apocalyptic number.

10726727640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10726727640 is an abundant number, since it is smaller than the sum of its proper divisors (22563127560).

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

10726727640 is a wasteful number, since it uses less digits than its factorization.

10726727640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082436 (or 3082432 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 10726727640 in words is "ten billion, seven hundred twenty-six million, seven hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 3082393 6164786 9247179 12329572 15411965 18494358 24659144 30823930 36988716 46235895 61647860 73977432 89389397 92471790 123295720 178778794 184943580 268168191 357557588 369887160 446946985 536336382 715115176 893893970 1072672764 1340840955 1787787940 2145345528 2681681910 3575575880 5363363820 10726727640