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10041728037 = 3114327126113
BaseRepresentation
bin10010101101000100…
…01001110000100101
3221220211021122020020
421112202021300211
5131031140244122
64340233025353
7503562165015
oct112642116045
927824248206
1010041728037
1142933259a0
121b42b55259
13c4053a713
146b3905c45
153db8a1c5c
hex256889c25

10041728037 has 32 divisors (see below), whose sum is σ = 15001552896. Its totient is φ = 5922201600.

The previous prime is 10041728029. The next prime is 10041728069. The reversal of 10041728037 is 73082714001.

It is a happy number.

It is not a de Polignac number, because 10041728037 - 23 = 10041728029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10041727989 and 10041728007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041720037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371493 + ... + 397605.

It is an arithmetic number, because the mean of its divisors is an integer number (468798528).

Almost surely, 210041728037 is an apocalyptic number.

It is an amenable number.

10041728037 is a deficient number, since it is larger than the sum of its proper divisors (4959824859).

10041728037 is a wasteful number, since it uses less digits than its factorization.

10041728037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26441.

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 10041728037 in words is "ten billion, forty-one million, seven hundred twenty-eight thousand, thirty-seven".

Divisors: 1 3 11 33 43 129 271 473 813 1419 2981 8943 11653 26113 34959 78339 128183 287243 384549 861729 1122859 3368577 7076623 12351449 21229869 37054347 77842853 233528559 304294789 912884367 3347242679 10041728037