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1061055600040 = 235103953270239
BaseRepresentation
bin11110111000010111101…
…01111001010110101000
310202102202210022021021001
433130023311321112220
5114341020213200130
62131235303524344
7136441642534612
oct17341365712650
93672683267231
101061055600040
11379a9a251987
121517814596b4
137909862c227
14394d919bdb2
151c9019ce6ca
hexf70bd795a8

1061055600040 has 64 divisors (see below), whose sum is σ = 2413091865600. Its totient is φ = 419859052032.

The previous prime is 1061055600037. The next prime is 1061055600061. The reversal of 1061055600040 is 400065501601.

It is a super-2 number, since 2×10610556000402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1061055599981 and 1061055600008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3791241 + ... + 4061479.

It is an arithmetic number, because the mean of its divisors is an integer number (37704560400).

Almost surely, 21061055600040 is an apocalyptic number.

1061055600040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061055600040 is an abundant number, since it is smaller than the sum of its proper divisors (1352036265560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1061055600040 is a wasteful number, since it uses less digits than its factorization.

1061055600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271306 (or 271302 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 1061055600040 in words is "one trillion, sixty-one billion, fifty-five million, six hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 953 1030 1906 2060 3812 4120 4765 7624 9530 19060 38120 98159 196318 270239 392636 490795 540478 785272 981590 1080956 1351195 1963180 2161912 2702390 3926360 5404780 10809560 27834617 55669234 111338468 139173085 222676936 257537767 278346170 515075534 556692340 1030151068 1113384680 1287688835 2060302136 2575377670 5150755340 10301510680 26526390001 53052780002 106105560004 132631950005 212211120008 265263900010 530527800020 1061055600040