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536640405444 = 22331113107324743
BaseRepresentation
bin1111100111100100100…
…00101011111111000100
31220022011101121011102000
413303302100223333010
532243014420433234
61050310150145300
753525310120003
oct7636220537704
91808141534360
10536640405444
11197651578410
1288007952230
133b7b3183760
141bd8b540c3a
15de5c6e4899
hex7cf242bfc4

536640405444 has 192 divisors, whose sum is σ = 1649803438080. Its totient is φ = 148705856640.

The previous prime is 536640405437. The next prime is 536640405493. The reversal of 536640405444 is 444504046635.

536640405444 is a `hidden beast` number, since 5 + 3 + 6 + 64 + 0 + 40 + 544 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 536640405444.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490137 + ... + 1814879.

It is an arithmetic number, because the mean of its divisors is an integer number (8592726240).

Almost surely, 2536640405444 is an apocalyptic number.

536640405444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536640405444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824901719040).

536640405444 is an abundant number, since it is smaller than the sum of its proper divisors (1113163032636).

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

536640405444 is a wasteful number, since it uses less digits than its factorization.

536640405444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324887 (or 324879 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 536640405444 in words is "five hundred thirty-six billion, six hundred forty million, four hundred five thousand, four hundred forty-four".