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2523404043252 = 22321712373333233
BaseRepresentation
bin100100101110000110100…
…110100000001111110100
322221020100100220010221100
4210232012212200033310
5312320412413341002
65211122534050100
7350211206315601
oct44560646401764
98836310803840
102523404043252
11893195885394
12349076aa9930
13153c5739a041
148a1c20d96a8
154598d63211c
hex24b869a03f4

2523404043252 has 72 divisors (see below), whose sum is σ = 6759278567496. Its totient is φ = 791015952384.

The previous prime is 2523404043229. The next prime is 2523404043257.

2523404043252 is a `hidden beast` number, since 2 + 523 + 4 + 0 + 40 + 43 + 2 + 52 = 666.

2523404043252 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1233512324496 + 1289891718756 = 1110636^2 + 1135734^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523404043257) 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 23 ways as a sum of consecutive naturals, for example, 909573 + ... + 2423660.

It is an arithmetic number, because the mean of its divisors is an integer number (93878868993).

Almost surely, 22523404043252 is an apocalyptic number.

It is an amenable number.

2523404043252 is an abundant number, since it is smaller than the sum of its proper divisors (4235874524244).

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

2523404043252 is a wasteful number, since it uses less digits than its factorization.

2523404043252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334497 (or 3334492 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 2523404043252 in words is "two trillion, five hundred twenty-three billion, four hundred four million, forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1237 2474 3711 4948 7422 11133 14844 21029 22266 42058 44532 63087 84116 126174 189261 252348 378522 757044 3333233 6666466 9999699 13332932 19999398 29999097 39998796 56664961 59998194 113329922 119996388 169994883 226659844 339989766 509984649 679979532 1019969298 2039938596 4123209221 8246418442 12369627663 16492836884 24739255326 37108882989 49478510652 70094556757 74217765978 140189113514 148435531956 210283670271 280378227028 420567340542 630851010813 841134681084 1261702021626 2523404043252