Search a number
-
+
54148997175 = 35272132349279
BaseRepresentation
bin110010011011100010…
…000010000000110111
312011202201220001202220
4302123202002000313
51341344120402200
640513052533423
73624601611300
oct623342020067
9164681801686
1054148997175
1120a67774039
12a5b2481273
13514c4cba40
14289978b7a7
15161dc4c4a0
hexc9b882037

54148997175 has 144 divisors (see below), whose sum is σ = 117032509440. Its totient is φ = 21855778560.

The previous prime is 54148997143. The next prime is 54148997179. The reversal of 54148997175 is 57179984145.

It is not a de Polignac number, because 54148997175 - 25 = 54148997143 is a prime.

It is a super-2 number, since 2×541489971752 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54148997179) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1074186 + ... + 1123464.

It is an arithmetic number, because the mean of its divisors is an integer number (812725760).

Almost surely, 254148997175 is an apocalyptic number.

54148997175 is an abundant number, since it is smaller than the sum of its proper divisors (62883512265).

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

54148997175 is a wasteful number, since it uses less digits than its factorization.

54148997175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49342 (or 49330 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 60.

The spelling of 54148997175 in words is "fifty-four billion, one hundred forty-eight million, nine hundred ninety-seven thousand, one hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 23 25 35 39 49 65 69 75 91 105 115 147 161 175 195 245 273 299 325 345 455 483 525 575 637 735 805 897 975 1127 1225 1365 1495 1725 1911 2093 2275 2415 3185 3381 3675 4025 4485 5635 6279 6825 7475 9555 10465 12075 14651 15925 16905 22425 28175 31395 43953 47775 49279 52325 73255 84525 147837 156975 219765 246395 344953 366275 640627 739185 1034859 1098825 1133417 1231975 1724765 1921881 2414671 3203135 3400251 3695925 4484389 5174295 5667085 7244013 7933919 8623825 9609405 12073355 13453167 14734421 16015675 17001255 22421945 23801757 25871475 28335425 31390723 36220065 39669595 44203263 48047025 55537433 60366775 67265835 73672105 85006275 94172169 103140947 112109725 119008785 156953615 166612299 181100325 198347975 221016315 277687165 309422841 336329175 368360525 470860845 515704735 595043925 721986629 784768075 833061495 1105081575 1388435825 1547114205 2165959887 2354304225 2578523675 3609933145 4165307475 7735571025 10829799435 18049665725 54148997175