Search a number
-
+
45000514212660 = 22345127218725159
BaseRepresentation
bin10100011101101011111111…
…01010100001001100110100
312220100000012012121211220000
422032311333222201030310
521344242023114301120
6235412541214111300
712323115456406146
oct1216657752411464
9186300165554800
1045000514212660
111337a67a126176
1250694991ab530
131c156b804bc76
14b18072276c96
15530877662990
hex28ed7faa1334

45000514212660 has 120 divisors (see below), whose sum is σ = 142279841679360. Its totient is φ = 11905647800256.

The previous prime is 45000514212637. The next prime is 45000514212679. The reversal of 45000514212660 is 6621241500054.

45000514212660 is a `hidden beast` number, since 4 + 500 + 0 + 5 + 142 + 1 + 2 + 6 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109156840 + ... + 109568319.

It is an arithmetic number, because the mean of its divisors is an integer number (1185665347328).

Almost surely, 245000514212660 is an apocalyptic number.

It is an amenable number.

45000514212660 is an abundant number, since it is smaller than the sum of its proper divisors (97279327466700).

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

45000514212660 is a wasteful number, since it uses less digits than its factorization.

45000514212660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218725307 (or 218725296 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45000514212660 in words is "forty-five trillion, five hundred fourteen million, two hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 1143 1270 1524 1620 1905 2286 2540 3429 3810 4572 5715 6858 7620 10287 11430 13716 17145 20574 22860 34290 41148 51435 68580 102870 205740 218725159 437450318 656175477 874900636 1093625795 1312350954 1968526431 2187251590 2624701908 3280877385 3937052862 4374503180 5905579293 6561754770 7874105724 9842632155 11811158586 13123509540 17716737879 19685264310 23622317172 27778095193 29527896465 35433475758 39370528620 55556190386 59055792930 70866951516 83334285579 88583689395 111112380772 118111585860 138890475965 166668571158 177167378790 250002856737 277780951930 333337142316 354334757580 416671427895 500005713474 555561903860 750008570211 833342855790 1000011426948 1250014283685 1500017140422 1666685711580 2250025710633 2500028567370 3000034280844 3750042851055 4500051421266 5000057134740 7500085702110 9000102842532 11250128553165 15000171404220 22500257106330 45000514212660