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1014831016507 = 711293712282967
BaseRepresentation
bin11101100010010001010…
…01000110101000111011
310121000110022121010101201
432301020221012220323
5113111333220012012
62054112410355031
7133214313212140
oct16611051065073
93530408533351
101014831016507
1136142971a130
12144820a2ba77
137490caca159
14371920403c7
151b5e87eb857
hexec48a46a3b

1014831016507 has 32 divisors (see below), whose sum is σ = 1344248017920. Its totient is φ = 742873783680.

The previous prime is 1014831016429. The next prime is 1014831016517. The reversal of 1014831016507 is 7056101384101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1014831016507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014831016517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6058863 + ... + 6224104.

It is an arithmetic number, because the mean of its divisors is an integer number (42007750560).

Almost surely, 21014831016507 is an apocalyptic number.

1014831016507 is a deficient number, since it is larger than the sum of its proper divisors (329417001413).

1014831016507 is a wasteful number, since it uses less digits than its factorization.

1014831016507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283051.

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 1014831016507 in words is "one trillion, fourteen billion, eight hundred thirty-one million, sixteen thousand, five hundred seven".

Divisors: 1 7 11 29 37 77 203 259 319 407 1073 2233 2849 7511 11803 82621 12282967 85980769 135112637 356206043 454469779 945788459 2493442301 3181288453 3918266473 4999167569 13179623591 27427865311 34994172983 92257365137 144975859501 1014831016507