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8457946938 = 23772193167
BaseRepresentation
bin1111110000010001…
…00000011100111010
3210211110010020000000
413320020200130322
5114310213300223
63515135053430
7416411235300
oct77010403472
923743106000
108457946938
1136503217a1
121780671276
13a4a39303c
145a3434270
15347808543
hex1f822073a

8457946938 has 384 divisors, whose sum is σ = 24409497600. Its totient is φ = 2182451040.

The previous prime is 8457946927. The next prime is 8457946961. The reversal of 8457946938 is 8396497548.

8457946938 is a `hidden beast` number, since 8 + 457 + 94 + 6 + 93 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126237981 + ... + 126238047.

It is an arithmetic number, because the mean of its divisors is an integer number (63566400).

Almost surely, 28457946938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8457946938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204748800).

8457946938 is an abundant number, since it is smaller than the sum of its proper divisors (15951550662).

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

8457946938 is a wasteful number, since it uses less digits than its factorization.

8457946938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 8457946938 is about 91967.0970401915. The cubic root of 8457946938 is about 2037.4563755850.

The spelling of 8457946938 in words is "eight billion, four hundred fifty-seven million, nine hundred forty-six thousand, nine hundred thirty-eight".