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5259091104 = 253331319447
BaseRepresentation
bin1001110010111011…
…10101110010100000
3111120111220111202000
410321131311302200
541232311403404
62225504324000
7244216352061
oct47135656240
914514814660
105259091104
11225968aa93
121029313600
1365a735237
1437c666568
1520ba84339
hex139775ca0

5259091104 has 96 divisors (see below), whose sum is σ = 15388813440. Its totient is φ = 1747339776.

The previous prime is 5259091093. The next prime is 5259091127. The reversal of 5259091104 is 4011909525.

5259091104 is a `hidden beast` number, since 52 + 590 + 9 + 1 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260709 + ... + 280155.

It is an arithmetic number, because the mean of its divisors is an integer number (160300140).

Almost surely, 25259091104 is an apocalyptic number.

5259091104 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 5259091104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694406720).

5259091104 is an abundant number, since it is smaller than the sum of its proper divisors (10129722336).

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

5259091104 is a wasteful number, since it uses less digits than its factorization.

5259091104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779 (or 19765 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 5259091104 is about 72519.5911736960. The cubic root of 5259091104 is about 1739.0159477385.

The spelling of 5259091104 in words is "five billion, two hundred fifty-nine million, ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 313 432 626 864 939 1252 1878 2504 2817 3756 5008 5634 7512 8451 10016 11268 15024 16902 19447 22536 30048 33804 38894 45072 58341 67608 77788 90144 116682 135216 155576 175023 233364 270432 311152 350046 466728 525069 622304 700092 933456 1050138 1400184 1866912 2100276 2800368 4200552 5600736 6086911 8401104 12173822 16802208 18260733 24347644 36521466 48695288 54782199 73042932 97390576 109564398 146085864 164346597 194781152 219128796 292171728 328693194 438257592 584343456 657386388 876515184 1314772776 1753030368 2629545552 5259091104