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5355136556 = 22711137179709
BaseRepresentation
bin1001111110011000…
…01110011000101100
3111211012122010022222
410333030032120230
541431403332211
62243215054512
7246463624010
oct47714163054
914735563288
105355136556
1122a89203a0
121055511438
136745c2a73
1438b308540
152152071db
hex13f30e62c

5355136556 has 96 divisors (see below), whose sum is σ = 11851660800. Its totient is φ = 2056711680.

The previous prime is 5355136547. The next prime is 5355136583. The reversal of 5355136556 is 6556315535.

It is a super-2 number, since 2×53551365562 = 57354975066815082272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 7552730 + ... + 7553438.

It is an arithmetic number, because the mean of its divisors is an integer number (123454800).

Almost surely, 25355136556 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 5355136556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925830400).

5355136556 is an abundant number, since it is smaller than the sum of its proper divisors (6496524244).

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

5355136556 is a wasteful number, since it uses less digits than its factorization.

5355136556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its digits is 1012500, while the sum is 44.

The square root of 5355136556 is about 73178.7985416541. The cubic root of 5355136556 is about 1749.5385510954.

The spelling of 5355136556 in words is "five billion, three hundred fifty-five million, one hundred thirty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 137 154 179 274 308 358 548 709 716 959 1253 1418 1507 1918 1969 2506 2836 3014 3836 3938 4963 5012 6028 7799 7876 9926 10549 13783 15598 19852 21098 24523 27566 31196 42196 49046 54593 55132 97133 98092 109186 126911 171661 194266 218372 253822 269753 343322 388532 507644 539506 679931 686644 888377 1068463 1079012 1359862 1396021 1776754 1888271 2136926 2719724 2792042 3553508 3776542 4273852 5584084 7479241 7553084 9772147 14958482 17386807 19544294 29916964 34773614 39088588 69547228 121707649 191254877 243415298 382509754 486830596 765019508 1338784139 2677568278 5355136556