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470049194448 = 24332997613631
BaseRepresentation
bin1101101011100010001…
…11011000000111010000
31122221021112111010222000
412311301013120013100
530200130043210243
6555534305314000
745650154141501
oct6656107300720
91587245433860
10470049194448
1117138a574a39
1277122635900
133543001b522
1418a71542ba8
15c3614c55d3
hex6d711d81d0

470049194448 has 320 divisors, whose sum is σ = 1414667788800. Its totient is φ = 149239480320.

The previous prime is 470049194443. The next prime is 470049194497. The reversal of 470049194448 is 844491940074.

It is a happy number.

470049194448 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 4 + 9 + 194 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 470049194394 and 470049194403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470049194443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744927093 + ... + 744927723.

It is an arithmetic number, because the mean of its divisors is an integer number (4420836840).

Almost surely, 2470049194448 is an apocalyptic number.

470049194448 is a gapful number since it is divisible by the number (48) 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 470049194448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707333894400).

470049194448 is an abundant number, since it is smaller than the sum of its proper divisors (944618594352).

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

470049194448 is a wasteful number, since it uses less digits than its factorization.

470049194448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 470049194448 in words is "four hundred seventy billion, forty-nine million, one hundred ninety-four thousand, four hundred forty-eight".