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556504492050 = 2325213142366851
BaseRepresentation
bin10000001100100100100…
…00001010100000010010
31222012102202101022112100
420012102100022200102
533104210122221200
61103353222341230
755130462063643
oct10062220124022
91865382338470
10556504492050
111a5015306711
128ba3028a816
134062a652160
141cd137676ca
15e721564d00
hex819240a812

556504492050 has 144 divisors (see below), whose sum is σ = 1611308619648. Its totient is φ = 136887408000.

The previous prime is 556504492009. The next prime is 556504492087. The reversal of 556504492050 is 50294405655.

556504492050 is a `hidden beast` number, since 5 + 5 + 6 + 504 + 4 + 92 + 0 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 556504491987 and 556504492005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8291125 + ... + 8357975.

It is an arithmetic number, because the mean of its divisors is an integer number (11189643192).

Almost surely, 2556504492050 is an apocalyptic number.

556504492050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 556504492050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805654309824).

556504492050 is an abundant number, since it is smaller than the sum of its proper divisors (1054804127598).

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

556504492050 is a wasteful number, since it uses less digits than its factorization.

556504492050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68305 (or 68297 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 556504492050 in words is "five hundred fifty-six billion, five hundred four million, four hundred ninety-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1423 1950 2846 2925 4269 5850 7115 8538 12807 14230 18499 21345 25614 35575 36998 42690 55497 64035 66851 71150 92495 106725 110994 128070 133702 166491 184990 200553 213450 277485 320175 332982 334255 401106 462475 554970 601659 640350 668510 832455 869063 924950 1002765 1203318 1387425 1664910 1671275 1738126 2005530 2607189 2774850 3008295 3342550 4162275 4345315 5013825 5214378 6016590 7821567 8324550 8690630 10027650 13035945 15041475 15643134 21726575 26071890 30082950 39107835 43453150 65179725 78215670 95128973 130359450 190257946 195539175 285386919 391078350 475644865 570773838 856160757 951289730 1236676649 1426934595 1712321514 2378224325 2473353298 2853869190 3710029947 4280803785 4756448650 6183383245 7134672975 7420059894 8561607570 11130089841 12366766490 14269345950 18550149735 21404018925 22260179682 30916916225 37100299470 42808037850 55650449205 61833832450 92750748675 111300898410 185501497350 278252246025 556504492050