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45402455252412 = 22332814193570551
BaseRepresentation
bin10100101001011000101010…
…01101111001110110111100
312221202102200011121020212000
422110230111031321312330
521422333212021034122
6240321333333342300
712364135111025166
oct1224542515716674
9187672604536760
1045402455252412
1113515089394455
125113372497990
131c4458285ca2b
14b2d6c2147936
1553b04e6740ac
hex294b15379dbc

45402455252412 has 96 divisors (see below), whose sum is σ = 118410930086400. Its totient is φ = 15044298192000.

The previous prime is 45402455252359. The next prime is 45402455252423. The reversal of 45402455252412 is 21425255420454.

45402455252412 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 2 + 4 + 552 + 52 + 41 + 2 = 666.

It is a super-2 number, since 2×454024552524122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10930537 + ... + 14501087.

It is an arithmetic number, because the mean of its divisors is an integer number (1233447188400).

Almost surely, 245402455252412 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 45402455252412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59205465043200).

45402455252412 is an abundant number, since it is smaller than the sum of its proper divisors (73008474833988).

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

45402455252412 is a wasteful number, since it uses less digits than its factorization.

45402455252412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571264 (or 3571256 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

The spelling of 45402455252412 in words is "forty-five trillion, four hundred two billion, four hundred fifty-five million, two hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 419 562 838 843 1124 1257 1676 1686 2514 2529 3372 3771 5028 5058 7542 7587 10116 11313 15084 15174 22626 30348 45252 117739 235478 353217 470956 706434 1059651 1412868 2119302 3178953 3570551 4238604 6357906 7141102 10711653 12715812 14282204 21423306 32134959 42846612 64269918 96404877 128539836 192809754 385619508 1003324831 1496060869 2006649662 2992121738 3009974493 4013299324 4488182607 5984243476 6019948986 8976365214 9029923479 12039897972 13464547821 17952730428 18059846958 26929095642 27089770437 36119693916 40393643463 53858191284 54179540874 80787286926 108359081748 161574573852 420393104189 840786208378 1261179312567 1681572416756 2522358625134 3783537937701 5044717250268 7567075875402 11350613813103 15134151750804 22701227626206 45402455252412