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406963621316 = 2271719238212383
BaseRepresentation
bin1011110110000001110…
…11000000110111000100
31102220102222211222121102
411323000323000313010
523131430141340231
6510542334435232
741254636463660
oct5730073006704
91386388758542
10406963621316
1114765739a13a
1266a57362b18
132c4b8247b25
14159a8d6d8a0
15a8bce28acb
hex5ec0ec0dc4

406963621316 has 192 divisors, whose sum is σ = 948156088320. Its totient is φ = 148508743680.

The previous prime is 406963621307. The next prime is 406963621357. The reversal of 406963621316 is 613126369604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170776661 + ... + 170779043.

It is an arithmetic number, because the mean of its divisors is an integer number (4938312960).

Almost surely, 2406963621316 is an apocalyptic number.

406963621316 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406963621316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474078044160).

406963621316 is an abundant number, since it is smaller than the sum of its proper divisors (541192467004).

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

406963621316 is a wasteful number, since it uses less digits than its factorization.

406963621316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 47.

The spelling of 406963621316 in words is "four hundred six billion, nine hundred sixty-three million, six hundred twenty-one thousand, three hundred sixteen".