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1055508575556 = 22319101281163117
BaseRepresentation
bin11110101110000010011…
…01101011010101000100
310201220110012121020011210
433113001031223111010
5114243140143404211
62124521031531420
7136154325600561
oct17270115532504
93656405536153
101055508575556
1137770308a326
12150693829b70
13786c3362616
14391305c3868
151c6c9a219a6
hexf5c136b544

1055508575556 has 96 divisors (see below), whose sum is σ = 2627478645120. Its totient is φ = 328841856000.

The previous prime is 1055508575551. The next prime is 1055508575633. The reversal of 1055508575556 is 6555758055501.

1055508575556 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 2×10555085755562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 1055508575496 and 1055508575505.

It is not an unprimeable number, because it can be changed into a prime (1055508575551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6389310 + ... + 6552426.

It is an arithmetic number, because the mean of its divisors is an integer number (27369569220).

Almost surely, 21055508575556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055508575556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313739322560).

1055508575556 is an abundant number, since it is smaller than the sum of its proper divisors (1571970069564).

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

1055508575556 is a wasteful number, since it uses less digits than its factorization.

1055508575556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163525 (or 163523 counting only the distinct ones).

The product of its (nonzero) digits is 26250000, while the sum is 57.

The spelling of 1055508575556 in words is "one trillion, fifty-five billion, five hundred eight million, five hundred seventy-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 281 303 404 562 606 843 1124 1212 1686 1919 3372 3838 5339 5757 7676 10678 11514 16017 21356 23028 28381 32034 56762 64068 85143 113524 163117 170286 326234 340572 489351 539239 652468 978702 1078478 1617717 1957404 2156956 3099223 3235434 6198446 6470868 9297669 12396892 16474817 18595338 32949634 37190676 45835877 49424451 65899268 91671754 98848902 137507631 183343508 197697804 275015262 313021523 550030524 626043046 870881663 939064569 1252086092 1741763326 1878129138 2612644989 3483526652 3756258276 4629423577 5225289978 9258847154 10450579956 13888270731 18517694308 27776541462 55553082924 87959047963 175918095926 263877143889 351836191852 527754287778 1055508575556