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5309475696 = 243374737357
BaseRepresentation
bin1001111000111100…
…00010101101110000
3111201000201022102000
410330132002231300
541333211210241
62234504254000
7245400540660
oct47436025560
914630638360
105309475696
112285073748
121042171300
13667cc66c5
143852201a0
152111d7eb6
hex13c782b70

5309475696 has 160 divisors (see below), whose sum is σ = 17788385280. Its totient is φ = 1484676864.

The previous prime is 5309475623. The next prime is 5309475707. The reversal of 5309475696 is 6965749035.

5309475696 is a `hidden beast` number, since 5 + 30 + 9 + 47 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123450 + ... + 160806.

It is an arithmetic number, because the mean of its divisors is an integer number (111177408).

Almost surely, 25309475696 is an apocalyptic number.

5309475696 is a gapful number since it is divisible by the number (56) 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 5309475696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8894192640).

5309475696 is an abundant number, since it is smaller than the sum of its proper divisors (12478909584).

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

5309475696 is a wasteful number, since it uses less digits than its factorization.

5309475696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37428 (or 37416 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5309475696 is about 72866.1491777904. The cubic root of 5309475696 is about 1744.5518394377.

The spelling of 5309475696 in words is "five billion, three hundred nine million, four hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 987 1008 1128 1269 1316 1512 1692 1974 2256 2538 2632 2961 3024 3384 3948 5076 5264 5922 6768 7896 8883 10152 11844 15792 17766 20304 23688 35532 37357 47376 71064 74714 112071 142128 149428 224142 261499 298856 336213 448284 522998 597712 672426 784497 896568 1008639 1045996 1344852 1568994 1755779 1793136 2017278 2091992 2353491 2689704 3137988 3511558 4034556 4183984 4706982 5267337 5379408 6275976 7023116 7060473 8069112 9413964 10534674 12290453 12551952 14046232 14120946 15802011 16138224 18827928 21069348 24580906 28092464 28241892 31604022 36871359 37655856 42138696 47406033 49161812 56483784 63208044 73742718 84277392 94812066 98323624 110614077 112967568 126416088 147485436 189624132 196647248 221228154 252832176 294970872 331842231 379248264 442456308 589941744 663684462 758496528 884912616 1327368924 1769825232 2654737848 5309475696