Search a number
-
+
5148744521634 = 2337174119542349
BaseRepresentation
bin100101011101100100100…
…0101101001011110100010
3200020012210212011201202000
41022323021011221132202
51133324112044143014
614541144531504430
71040661455222460
oct112731105513642
920205725151660
105148744521634
11170563006718a
126b1a40158116
132b46a84c63cc
1413b2b44c5830
158dde5ea7509
hex4aec91697a2

5148744521634 has 128 divisors (see below), whose sum is σ = 14183055936000. Its totient is φ = 1350767093760.

The previous prime is 5148744521629. The next prime is 5148744521659. The reversal of 5148744521634 is 4361254478415.

5148744521634 is a `hidden beast` number, since 5 + 1 + 4 + 87 + 4 + 4 + 521 + 6 + 34 = 666.

It is a super-2 number, since 2×51487445216342 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9507709 + ... + 10034640.

It is an arithmetic number, because the mean of its divisors is an integer number (110805124500).

Almost surely, 25148744521634 is an apocalyptic number.

5148744521634 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5148744521634 is an abundant number, since it is smaller than the sum of its proper divisors (9034311414366).

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

5148744521634 is a wasteful number, since it uses less digits than its factorization.

5148744521634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19542425 (or 19542419 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 5148744521634 in words is "five trillion, one hundred forty-eight billion, seven hundred forty-four million, five hundred twenty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 41 42 51 54 63 82 102 119 123 126 153 189 238 246 287 306 357 369 378 459 574 697 714 738 861 918 1071 1107 1394 1722 2091 2142 2214 2583 3213 4182 4879 5166 6273 6426 7749 9758 12546 14637 15498 18819 29274 37638 43911 87822 131733 263466 19542349 39084698 58627047 117254094 136796443 175881141 273592886 332219933 351762282 410389329 527643423 664439866 801236309 820778658 996659799 1055286846 1231167987 1602472618 1993319598 2325539531 2403708927 2462335974 2989979397 3693503961 4651079062 4807417854 5608654163 5979958794 6976618593 7211126781 7387007922 8969938191 11217308326 13621017253 13953237186 14422253562 16825962489 17939876382 20929855779 21633380343 27242034506 33651924978 40863051759 41859711558 43266760686 50477887467 62789567337 81726103518 95347120771 100955774934 122589155277 125579134674 151433662401 190694241542 245178310554 286041362313 302867324802 367767465831 572082724626 735534931662 858124086939 1716248173878 2574372260817 5148744521634