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1005565226556 = 2231120633692641
BaseRepresentation
bin11101010001000000101…
…10111010111000111100
310120010112120101020010010
432220200112322320330
5112433344144222211
62045541132343220
7132435562253232
oct16504026727074
93503476336103
101005565226556
1135850439aa90
12142a75914b10
1373a942693c7
14369535dc952
151b25511c4a6
hexea205bae3c

1005565226556 has 48 divisors (see below), whose sum is σ = 2560861997568. Its totient is φ = 304568947200.

The previous prime is 1005565226551. The next prime is 1005565226557. The reversal of 1005565226556 is 6556225655001.

1005565226556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10055652265562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005565226551) 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, 1574005 + ... + 2118636.

It is an arithmetic number, because the mean of its divisors is an integer number (53351291616).

Almost surely, 21005565226556 is an apocalyptic number.

It is an amenable number.

1005565226556 is an abundant number, since it is smaller than the sum of its proper divisors (1555296771012).

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

1005565226556 is a wasteful number, since it uses less digits than its factorization.

1005565226556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694722 (or 3694720 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 48.

The spelling of 1005565226556 in words is "one trillion, five billion, five hundred sixty-five million, two hundred twenty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2063 4126 6189 8252 12378 22693 24756 45386 68079 90772 136158 272316 3692641 7385282 11077923 14770564 22155846 40619051 44311692 81238102 121857153 162476204 243714306 487428612 7617918383 15235836766 22853755149 30471673532 45707510298 83797102213 91415020596 167594204426 251391306639 335188408852 502782613278 1005565226556