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457462676340 = 2232523110498231
BaseRepresentation
bin1101010100000101110…
…01100111101101110100
31121201210100201210000200
412222002321213231310
524443340421120330
6550053324440500
745023231406435
oct6520271475564
91551710653020
10457462676340
1116701083365a
12747ab3a9130
13341a54cb787
14181d9a8b48c
15bd764eba60
hex6a82e67b74

457462676340 has 72 divisors (see below), whose sum is σ = 1447968832128. Its totient is φ = 116686130880.

The previous prime is 457462676327. The next prime is 457462676347. The reversal of 457462676340 is 43676264754.

457462676340 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 626 + 7 + 6 + 3 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457462676347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55244976 + ... + 55253255.

It is an arithmetic number, because the mean of its divisors is an integer number (20110678224).

Almost surely, 2457462676340 is an apocalyptic number.

It is an amenable number.

457462676340 is an abundant number, since it is smaller than the sum of its proper divisors (990506155788).

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

457462676340 is a wasteful number, since it uses less digits than its factorization.

457462676340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110498269 (or 110498264 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 457462676340 in words is "four hundred fifty-seven billion, four hundred sixty-two million, six hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 110498231 220996462 331494693 441992924 552491155 662989386 994484079 1104982310 1325978772 1657473465 1988968158 2209964620 2541459313 3314946930 3977936316 4972420395 5082918626 6629893860 7624377939 9944840790 10165837252 12707296565 15248755878 19889681580 22873133817 25414593130 30497511756 38121889695 45746267634 50829186260 76243779390 91492535268 114365669085 152487558780 228731338170 457462676340