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453416256412 = 22733197109903
BaseRepresentation
bin1101001100100011011…
…01110000001110011100
31121100100100200100101221
412212101231300032130
524412044030201122
6544144015543124
744521035406000
oct6462155601634
91540310610357
10453416256412
11165324724459
1273a6022aaa4
13339ac0a6362
1417d344d2700
15bbdb1576c7
hex6991b7039c

453416256412 has 96 divisors (see below), whose sum is σ = 965045043200. Its totient is φ = 186112442880.

The previous prime is 453416256409. The next prime is 453416256413. The reversal of 453416256412 is 214652614354.

It is a super-2 number, since 2×4534162564122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453416256413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4070653 + ... + 4180555.

Almost surely, 2453416256412 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 453416256412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482522521600).

453416256412 is an abundant number, since it is smaller than the sum of its proper divisors (511628786788).

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

453416256412 is a wasteful number, since it uses less digits than its factorization.

453416256412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110056 (or 110040 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 453416256412 in words is "four hundred fifty-three billion, four hundred sixteen million, two hundred fifty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 31 49 62 97 98 124 194 196 217 343 388 434 679 686 868 1358 1372 1519 2716 3007 3038 4753 6014 6076 9506 10633 12028 19012 21049 21266 33271 42098 42532 66542 84196 109903 133084 147343 219806 294686 439612 589372 769321 1031401 1538642 2062802 3077284 3406993 4125604 5385247 6813986 10660591 10770494 13627972 21321182 21540988 23848951 37696729 42642364 47697902 74624137 75393458 95395804 149248274 150786916 166942657 298496548 330478321 333885314 522368959 660956642 667770628 1044737918 1168598599 1321913284 2089475836 2313348247 2337197198 3656582713 4626696494 4674394396 7313165426 9253392988 14626330852 16193437729 32386875458 64773750916 113354064103 226708128206 453416256412