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5436673344 = 26347114771
BaseRepresentation
bin1010001000000110…
…10000110101000000
3112000220001121210000
411010003100311000
542113242021334
62255250440000
7251503650414
oct50403206500
915026047700
105436673344
11233a951173
121078893000
1368847079b
14398090d44
1521c461299
hex1440d0d40

5436673344 has 140 divisors (see below), whose sum is σ = 16344095328. Its totient is φ = 1786579200.

The previous prime is 5436673337. The next prime is 5436673367. The reversal of 5436673344 is 4433766345.

5436673344 is a `hidden beast` number, since 543 + 6 + 6 + 73 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5436673344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 360679 + ... + 375449.

Almost surely, 25436673344 is an apocalyptic number.

5436673344 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 5436673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172047664).

5436673344 is an abundant number, since it is smaller than the sum of its proper divisors (10907421984).

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

5436673344 is a wasteful number, since it uses less digits than its factorization.

5436673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14866 (or 14847 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The square root of 5436673344 is about 73733.8005530706. The cubic root of 5436673344 is about 1758.3732972376.

The spelling of 5436673344 in words is "five billion, four hundred thirty-six million, six hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 284 288 324 426 432 568 576 639 648 852 864 1136 1278 1296 1704 1728 1917 2272 2556 2592 3408 3834 4544 5112 5184 5751 6816 7668 10224 11502 13632 14771 15336 20448 23004 29542 30672 40896 44313 46008 59084 61344 88626 92016 118168 122688 132939 177252 184032 236336 265878 354504 368064 398817 472672 531756 709008 797634 945344 1048741 1063512 1196451 1418016 1595268 2097482 2127024 2392902 2836032 3146223 3190536 4194964 4254048 4785804 6292446 6381072 8389928 8508096 9438669 9571608 12584892 12762144 16779856 18877338 19143216 25169784 25524288 28316007 33559712 37754676 38286432 50339568 56632014 67119424 75509352 76572864 84948021 100679136 113264028 151018704 169896042 201358272 226528056 302037408 339792084 453056112 604074816 679584168 906112224 1359168336 1812224448 2718336672 5436673344