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45152214245352 = 23327172649121579
BaseRepresentation
bin10100100010000110100011…
…01100001101111111101000
312220212111202102222222012100
422101003101230031333220
521404233213321322402
6240010350232213400
712340065650410014
oct1221032154157750
9186774672888170
1045152214245352
1113428a4590a015
12509297523a260
131c26ab2889816
14b2154371b544
155347a560071c
hex2910d1b0dfe8

45152214245352 has 96 divisors (see below), whose sum is σ = 124012329480000. Its totient is φ = 14838429553920.

The previous prime is 45152214245321. The next prime is 45152214245371. The reversal of 45152214245352 is 25354241225154.

45152214245352 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 2 + 2 + 142 + 453 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45152214245298 and 45152214245307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371320899 + ... + 371442477.

It is an arithmetic number, because the mean of its divisors is an integer number (1291795098750).

Almost surely, 245152214245352 is an apocalyptic number.

It is an amenable number.

45152214245352 is an abundant number, since it is smaller than the sum of its proper divisors (78860115234648).

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

45152214245352 is a wasteful number, since it uses less digits than its factorization.

45152214245352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194311 (or 194304 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 45152214245352 in words is "forty-five trillion, one hundred fifty-two billion, two hundred fourteen million, two hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 72649 121579 145298 217947 243158 290596 364737 435894 486316 581192 653841 729474 871788 972632 1094211 1307682 1458948 1743576 2188422 2615364 2917896 4376844 5158079 5230728 8632109 8753688 10316158 15474237 17264218 20632316 25896327 30948474 34528436 41264632 46422711 51792654 61896948 69056872 77688981 92845422 103585308 123793896 155377962 185690844 207170616 310755924 371381688 621511848 8832592771 17665185542 26497778313 35330371084 52995556626 70660742168 79493334939 105991113252 158986669878 211982226504 317973339756 627114086741 635946679512 1254228173482 1881342260223 2508456346964 3762684520446 5016912693928 5644026780669 7525369040892 11288053561338 15050738081784 22576107122676 45152214245352