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406680450507 = 32163277219121
BaseRepresentation
bin1011110101100000000…
…10110011010111001011
31102212201021000102021200
411322300002303113023
523130340143404012
6510454301235243
741244630536052
oct5726002632713
91385637012250
10406680450507
1114752156a781
1266998562b23
132c471690136
141597d4db399
15a8a31413dc
hex5eb00b35cb

406680450507 has 12 divisors (see below), whose sum is σ = 591031168104. Its totient is φ = 269456984640.

The previous prime is 406680450409. The next prime is 406680450551. The reversal of 406680450507 is 705054086604.

406680450507 is a `hidden beast` number, since 4 + 0 + 66 + 80 + 4 + 5 + 0 + 507 = 666.

It is a de Polignac number, because none of the positive numbers 2k-406680450507 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (406680450607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138608094 + ... + 138611027.

It is an arithmetic number, because the mean of its divisors is an integer number (49252597342).

Almost surely, 2406680450507 is an apocalyptic number.

406680450507 is a deficient number, since it is larger than the sum of its proper divisors (184350717597).

406680450507 is a wasteful number, since it uses less digits than its factorization.

406680450507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277219290 (or 277219287 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 406680450507 in words is "four hundred six billion, six hundred eighty million, four hundred fifty thousand, five hundred seven".

Divisors: 1 3 9 163 489 1467 277219121 831657363 2494972089 45186716723 135560150169 406680450507