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1006046861937 = 31346395560697
BaseRepresentation
bin11101010001111010001…
…00001101101001110001
310120011210010122211122120
432220331010031221301
5112440340444040222
62050101015424453
7132453531142065
oct16507504155161
93504703584576
101006046861937
11358731253857
12142b8b085129
1373b3cc91560
143699b573aa5
151b28255915c
hexea3d10da71

1006046861937 has 16 divisors (see below), whose sum is σ = 1444891768320. Its totient is φ = 618972193152.

The previous prime is 1006046861921. The next prime is 1006046861969. The reversal of 1006046861937 is 7391686406001.

It is a happy number.

1006046861937 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006046861937 - 24 = 1006046861921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006046861937.

It is not an unprimeable number, because it can be changed into a prime (1006046861917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2599428 + ... + 2961269.

It is an arithmetic number, because the mean of its divisors is an integer number (90305735520).

Almost surely, 21006046861937 is an apocalyptic number.

It is an amenable number.

1006046861937 is a deficient number, since it is larger than the sum of its proper divisors (438844906383).

1006046861937 is a wasteful number, since it uses less digits than its factorization.

1006046861937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565352.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 1006046861937 in words is "one trillion, six billion, forty-six million, eight hundred sixty-one thousand, nine hundred thirty-seven".

Divisors: 1 3 13 39 4639 13917 60307 180921 5560697 16682091 72289061 216867183 25796073383 77388220149 335348953979 1006046861937