Search a number
-
+
5055140502 = 2341771103251
BaseRepresentation
bin1001011010100111…
…10101001010010110
3111001022010202010000
410231103311022112
540323103444002
62153341112130
7236161661646
oct45523651226
914038122100
105055140502
112164549975
12b90b58646
136273c69c9
1435d536526
151e8be961c
hex12d4f5296

5055140502 has 160 divisors (see below), whose sum is σ = 12329501184. Its totient is φ = 1542240000.

The previous prime is 5055140483. The next prime is 5055140509. The reversal of 5055140502 is 2050415505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055140509) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 20139877 + ... + 20140127.

Almost surely, 25055140502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5055140502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164750592).

5055140502 is an abundant number, since it is smaller than the sum of its proper divisors (7274360682).

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

5055140502 is a wasteful number, since it uses less digits than its factorization.

5055140502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 5055140502 is about 71099.5112641430. The cubic root of 5055140502 is about 1716.2389087386.

The spelling of 5055140502 in words is "five billion, fifty-five million, one hundred forty thousand, five hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 81 102 103 142 153 162 206 213 251 306 309 426 459 502 618 639 753 918 927 1207 1278 1377 1506 1751 1854 1917 2259 2414 2754 2781 3502 3621 3834 4267 4518 5253 5562 5751 6777 7242 7313 8343 8534 10506 10863 11502 12801 13554 14626 15759 16686 17821 20331 21726 21939 25602 25853 31518 32589 35642 38403 40662 43878 47277 51706 53463 65178 65817 76806 77559 94554 97767 106926 115209 124321 131634 141831 155118 160389 195534 197451 230418 232677 248642 283662 302957 320778 345627 372963 394902 439501 465354 481167 592353 605914 691254 698031 745926 879002 908871 962334 1118889 1184706 1318503 1396062 1443501 1817742 1835563 2094093 2237778 2637006 2726613 2887002 3356667 3671126 3955509 4188186 5453226 5506689 6713334 7911018 8179839 10070001 11013378 11866527 16359678 16520067 20140002 23733054 24539517 31204571 33040134 35599581 49079034 49560201 62409142 71199162 93613713 99120402 148680603 187227426 280841139 297361206 561682278 842523417 1685046834 2527570251 5055140502