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5357656556 = 2271721934847
BaseRepresentation
bin1001111110101011…
…10101100111101100
3111211101101011010022
410333111311213230
541433030002211
62243345101312
7246524220650
oct47725654754
914741334108
105357656556
1122aa29173a
121056327838
13674c95aa5
1438b7a2a60
15215553bdb
hex13f5759ec

5357656556 has 72 divisors (see below), whose sum is σ = 11982136320. Its totient is φ = 2047272192.

The previous prime is 5357656529. The next prime is 5357656583. The reversal of 5357656556 is 6556567535.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5357656529) and next prime (5357656583).

It is a super-2 number, since 2×53576565562 = 57408967544099562272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5357656498 and 5357656507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136325 + ... + 171171.

It is an arithmetic number, because the mean of its divisors is an integer number (166418560).

Almost surely, 25357656556 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 5357656556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991068160).

5357656556 is an abundant number, since it is smaller than the sum of its proper divisors (6624479764).

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

5357656556 is a wasteful number, since it uses less digits than its factorization.

5357656556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34911 (or 34892 counting only the distinct ones).

The product of its digits is 14175000, while the sum is 53.

The square root of 5357656556 is about 73196.0146182837. The cubic root of 5357656556 is about 1749.8129384815.

The spelling of 5357656556 in words is "five billion, three hundred fifty-seven million, six hundred fifty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 289 323 476 532 578 646 1156 1292 2023 2261 4046 4522 5491 8092 9044 10982 21964 34847 38437 69694 76874 139388 153748 243929 487858 592399 662093 975716 1184798 1324186 2369596 2648372 4146793 4634651 8293586 9269302 10070783 11255581 16587172 18538604 20141566 22511162 40283132 45022324 70495481 78789067 140990962 157578134 191344877 281981924 315156268 382689754 765379508 1339414139 2678828278 5357656556