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3746412648 = 23361125309
BaseRepresentation
bin1101111101001101…
…1011100001101000
3100200002112111000000
43133103123201220
530133040201043
61415430343000
7161560660566
oct33723334150
910602474000
103746412648
111652830300
128867baa60
13479224224
142777c2a36
1516dd832d3
hexdf4db868

3746412648 has 168 divisors, whose sum is σ = 11578640850. Its totient is φ = 1135062720.

The previous prime is 3746412623. The next prime is 3746412737. The reversal of 3746412648 is 8462146473.

It can be written as a sum of positive squares in only one way, i.e., 3743237124 + 3175524 = 61182^2 + 1782^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 703018 + ... + 708326.

Almost surely, 23746412648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746412648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789320425).

3746412648 is an abundant number, since it is smaller than the sum of its proper divisors (7832228202).

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

3746412648 is a wasteful number, since it uses less digits than its factorization.

3746412648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5325 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3746412648 is about 61207.9459547533. The cubic root of 3746412648 is about 1553.1206843965.

The spelling of 3746412648 in words is "three billion, seven hundred forty-six million, four hundred twelve thousand, six hundred forty-eight".