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1006978827970 = 25743135528779
BaseRepresentation
bin11101010011101001001…
…11011000011011000010
310120021012002022121201001
432221310213120123002
5112444243034443340
62050333311002214
7132515605545163
oct16516447303302
93507162277631
101006978827970
1135906a329715
121431ab20936a
1373c5b09aa4b
1436a4925176a
151b2d929c29a
hexea749d86c2

1006978827970 has 16 divisors (see below), whose sum is σ = 1815001421760. Its totient is φ = 402249413104.

The previous prime is 1006978827941. The next prime is 1006978827973. The reversal of 1006978827970 is 797288796001.

It is a happy number.

1006978827970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1006978827973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67756960 + ... + 67771819.

It is an arithmetic number, because the mean of its divisors is an integer number (113437588860).

Almost surely, 21006978827970 is an apocalyptic number.

1006978827970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006978827970 is a deficient number, since it is larger than the sum of its proper divisors (808022593790).

1006978827970 is a wasteful number, since it uses less digits than its factorization.

1006978827970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135529529.

The product of its (nonzero) digits is 21337344, while the sum is 64.

The spelling of 1006978827970 in words is "one trillion, six billion, nine hundred seventy-eight million, eight hundred twenty-seven thousand, nine hundred seventy".

Divisors: 1 2 5 10 743 1486 3715 7430 135528779 271057558 677643895 1355287790 100697882797 201395765594 503489413985 1006978827970