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45002725224 = 23347732771973
BaseRepresentation
bin101001111010010111…
…110001011101101000
311022011022120022100220
4221322113301131220
51214131144201344
632401324330040
73152131565352
oct517227613550
9138138508326
1045002725224
11180a39575a6
12887b3a3920
1343226566c2
14226cb7c0d2
151285ccac19
hexa7a5f1768

45002725224 has 128 divisors (see below), whose sum is σ = 116954288640. Its totient is φ = 14421030912.

The previous prime is 45002725223. The next prime is 45002725231. The reversal of 45002725224 is 42252720054.

It is a super-3 number, since 3×450027252243 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45002725223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22808302 + ... + 22810274.

It is an arithmetic number, because the mean of its divisors is an integer number (913705380).

Almost surely, 245002725224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45002725224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58477144320).

45002725224 is an abundant number, since it is smaller than the sum of its proper divisors (71951563416).

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

45002725224 is a wasteful number, since it uses less digits than its factorization.

45002725224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The spelling of 45002725224 in words is "forty-five billion, two million, seven hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 73 94 141 146 188 219 277 282 292 376 438 554 564 584 831 876 1108 1128 1662 1752 1973 2216 3324 3431 3946 5919 6648 6862 7892 10293 11838 13019 13724 15784 20221 20586 23676 26038 27448 39057 40442 41172 47352 52076 60663 78114 80884 82344 92731 104152 121326 144029 156228 161768 185462 242652 278193 288058 312456 370924 432087 485304 546521 556386 576116 741848 864174 950387 1093042 1112772 1152232 1639563 1728348 1900774 2186084 2225544 2851161 3279126 3456696 3801548 4372168 5702322 6558252 6769363 7603096 11404644 13116504 13538726 20308089 22809288 25686487 27077452 39896033 40616178 51372974 54154904 77059461 79792066 81232356 102745948 119688099 154118922 159584132 162464712 205491896 239376198 308237844 319168264 478752396 616475688 957504792 1875113551 3750227102 5625340653 7500454204 11250681306 15000908408 22501362612 45002725224