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456400671471342 = 232131950430219963
BaseRepresentation
bin110011111000110000000111…
…1111001011111011011101110
32012211222110220112000120200200
41213301200033321133123232
5434310132033344040332
64254403323551334330
7165063601051240233
oct14761401771373356
92184873815016620
10456400671471342
1112247248a782924
12432316115213a6
1316788524a9cb70
14809bca607378a
1537b706755917c
hex19f180fe5f6ee

456400671471342 has 24 divisors (see below), whose sum is σ = 1064934900100344. Its totient is φ = 140430975837264.

The previous prime is 456400671471281. The next prime is 456400671471403. The reversal of 456400671471342 is 243174176004654.

456400671471342 is a `hidden beast` number, since 4 + 5 + 6 + 400 + 67 + 1 + 47 + 134 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (456400671471281) and next prime (456400671471403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975215109748 + ... + 975215110215.

It is an arithmetic number, because the mean of its divisors is an integer number (44372287504181).

Almost surely, 2456400671471342 is an apocalyptic number.

456400671471342 is an abundant number, since it is smaller than the sum of its proper divisors (608534228629002).

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

456400671471342 is a wasteful number, since it uses less digits than its factorization.

456400671471342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950430219984 (or 1950430219981 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 456400671471342 in words is "four hundred fifty-six trillion, four hundred billion, six hundred seventy-one million, four hundred seventy-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1950430219963 3900860439926 5851290659889 11702581319778 17553871979667 25355592859519 35107743959334 50711185719038 76066778578557 152133557157114 228200335735671 456400671471342