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5564512440 = 2332569122369
BaseRepresentation
bin1010010111010101…
…11011100010111000
3112100210121112001100
411023222323202320
542344003344230
62320054451400
7254615401224
oct51352734270
915323545040
105564512440
1123a6027613
1210b3663b60
136a8ab0816
143ab04b784
152287b4660
hex14babb8b8

5564512440 has 96 divisors (see below), whose sum is σ = 18111646800. Its totient is φ = 1481656320.

The previous prime is 5564512411. The next prime is 5564512441. The reversal of 5564512440 is 442154655.

5564512440 is a `hidden beast` number, since 5 + 5 + 645 + 1 + 2 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5564512395 and 5564512404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5564512441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237576 + ... + 259944.

Almost surely, 25564512440 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 5564512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055823400).

5564512440 is an abundant number, since it is smaller than the sum of its proper divisors (12547134360).

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

5564512440 is a wasteful number, since it uses less digits than its factorization.

5564512440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23077 (or 23070 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5564512440 is about 74595.6596592590. The cubic root of 5564512440 is about 1772.0489152472.

The spelling of 5564512440 in words is "five billion, five hundred sixty-four million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 691 1382 2073 2764 3455 4146 5528 6219 6910 8292 10365 12438 13820 16584 20730 22369 24876 27640 31095 41460 44738 49752 62190 67107 82920 89476 111845 124380 134214 178952 201321 223690 248760 268428 335535 402642 447380 536856 671070 805284 894760 1006605 1342140 1610568 2013210 2684280 4026420 8052840 15456979 30913958 46370937 61827916 77284895 92741874 123655832 139112811 154569790 185483748 231854685 278225622 309139580 370967496 463709370 556451244 618279160 695564055 927418740 1112902488 1391128110 1854837480 2782256220 5564512440