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1006700377077 = 3417836970499
BaseRepresentation
bin11101010011001000000…
…01001011001111110101
310120020110200100211220000
432221210001023033311
5112443210244031302
62050245522501513
7132505655006043
oct16514401131765
93506420324800
101006700377077
11358a3713340a
12143131b04899
1373c154a64c5
1436a2028b393
151b2beae831c
hexea6404b3f5

1006700377077 has 20 divisors (see below), whose sum is σ = 1504680012000. Its totient is φ = 670757081544.

The previous prime is 1006700377043. The next prime is 1006700377117. The reversal of 1006700377077 is 7707730076001.

It is a happy number.

1006700377077 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 1006700377077 - 210 = 1006700376053 is a prime.

It is a super-3 number, since 3×10067003770773 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006700377477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3340827 + ... + 3629672.

It is an arithmetic number, because the mean of its divisors is an integer number (75234000600).

Almost surely, 21006700377077 is an apocalyptic number.

It is an amenable number.

1006700377077 is a deficient number, since it is larger than the sum of its proper divisors (497979634923).

1006700377077 is an equidigital number, since it uses as much as digits as its factorization.

1006700377077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972294 (or 6972285 counting only the distinct ones).

The product of its (nonzero) digits is 302526, while the sum is 45.

The spelling of 1006700377077 in words is "one trillion, six billion, seven hundred million, three hundred seventy-seven thousand, seventy-seven".

Divisors: 1 3 9 27 81 1783 5349 16047 48141 144423 6970499 20911497 62734491 188203473 564610419 12428399717 37285199151 111855597453 335566792359 1006700377077