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5295505464 = 2333237115013
BaseRepresentation
bin1001110111010001…
…10000000000111000
3111200001102112212000
410323220300000320
541321122133324
62233245021000
7245141024304
oct47350600070
914601375760
105295505464
1122781a16a7
121039554760
136651449b2
14383424d04
1520ed789c9
hex13ba30038

5295505464 has 128 divisors (see below), whose sum is σ = 15566515200. Its totient is φ = 1664530560.

The previous prime is 5295505417. The next prime is 5295505469. The reversal of 5295505464 is 4645055925.

5295505464 is a `hidden beast` number, since 52 + 9 + 5 + 50 + 546 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295505469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345222 + ... + 360234.

It is an arithmetic number, because the mean of its divisors is an integer number (121613400).

Almost surely, 25295505464 is an apocalyptic number.

5295505464 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 5295505464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783257600).

5295505464 is an abundant number, since it is smaller than the sum of its proper divisors (10271009736).

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

5295505464 is a wasteful number, since it uses less digits than its factorization.

5295505464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122 (or 15112 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 5295505464 is about 72770.2237457052. The cubic root of 5295505464 is about 1743.0204138490.

The spelling of 5295505464 in words is "five billion, two hundred ninety-five million, five hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 71 72 92 108 138 142 184 207 213 216 276 284 414 426 552 568 621 639 828 852 1242 1278 1633 1656 1704 1917 2484 2556 3266 3834 4899 4968 5112 6532 7668 9798 13064 14697 15013 15336 19596 29394 30026 39192 44091 45039 58788 60052 88182 90078 117576 120104 135117 176364 180156 270234 345299 352728 360312 405351 540468 690598 810702 1035897 1065923 1080936 1381196 1621404 2071794 2131846 2762392 3107691 3197769 3242808 4143588 4263692 6215382 6395538 8287176 8527384 9323073 9593307 12430764 12791076 18646146 19186614 24516229 24861528 25582152 28779921 37292292 38373228 49032458 57559842 73548687 74584584 76746456 98064916 115119684 147097374 196129832 220646061 230239368 294194748 441292122 588389496 661938183 882584244 1323876366 1765168488 2647752732 5295505464