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6416414048 = 251153343933
BaseRepresentation
bin1011111100111001…
…01011010101100000
3121120011121121100202
411332130223111200
5101120100222143
62540410004332
7315001422332
oct57634532540
917504547322
106416414048
1127a2997930
1212b0a166a8
137b3436505
1444c247452
1527848eab8
hex17e72b560

6416414048 has 48 divisors (see below), whose sum is σ = 14040761616. Its totient is φ = 2861514240.

The previous prime is 6416414041. The next prime is 6416414063. The reversal of 6416414048 is 8404146146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416414041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153311 + ... + 190622.

It is an arithmetic number, because the mean of its divisors is an integer number (292515867).

Almost surely, 26416414048 is an apocalyptic number.

It is an amenable number.

6416414048 is an abundant number, since it is smaller than the sum of its proper divisors (7624347568).

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

6416414048 is a wasteful number, since it uses less digits than its factorization.

6416414048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344007 (or 343999 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 6416414048 is about 80102.5221076091. The cubic root of 6416414048 is about 1858.2214130741.

The spelling of 6416414048 in words is "six billion, four hundred sixteen million, four hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 18656 343933 687866 1375732 2751464 3783263 5502928 7566526 11005856 15133052 18228449 30266104 36456898 60532208 72913796 121064416 145827592 200512939 291655184 401025878 583310368 802051756 1604103512 3208207024 6416414048