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5506651152 = 24321712491801
BaseRepresentation
bin1010010000011100…
…01101010000010000
3112012202201212021200
411020032031100100
542234200314102
62310230351200
7253313522352
oct51016152020
915182655250
105506651152
1123763a7572
1210981bb500
13699b02182
143a34a90d2
1522368551c
hex14838d410

5506651152 has 120 divisors (see below), whose sum is σ = 16339635000. Its totient is φ = 1725235200.

The previous prime is 5506651151. The next prime is 5506651181. The reversal of 5506651152 is 2511566055.

5506651152 is a `hidden beast` number, since 550 + 6 + 6 + 51 + 1 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 439489296 + 5067161856 = 20964^2 + 71184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5506651151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3056652 + ... + 3058452.

It is an arithmetic number, because the mean of its divisors is an integer number (136163625).

Almost surely, 25506651152 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 5506651152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169817500).

5506651152 is an abundant number, since it is smaller than the sum of its proper divisors (10832983848).

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

5506651152 is a wasteful number, since it uses less digits than its factorization.

5506651152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 5506651152 is about 74206.8133799047. The cubic root of 5506651152 is about 1765.8854229539.

The spelling of 5506651152 in words is "five billion, five hundred six million, six hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1249 1801 2448 2498 3602 3747 4996 5403 7204 7494 9992 10806 11241 14408 14988 16209 19984 21233 21612 22482 28816 29976 30617 32418 42466 43224 44964 59952 61234 63699 64836 84932 86448 89928 91851 122468 127398 129672 169864 179856 183702 191097 244936 254796 259344 275553 339728 367404 382194 489872 509592 551106 734808 764388 1019184 1102212 1469616 1528776 2204424 2249449 3057552 4408848 4498898 6748347 8997796 13496694 17995592 20245041 26993388 35991184 38240633 40490082 53986776 76481266 80980164 107973552 114721899 152962532 161960328 229443798 305925064 323920656 344165697 458887596 611850128 688331394 917775192 1376662788 1835550384 2753325576 5506651152