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67014770440 = 23517149661417
BaseRepresentation
bin111110011010011001…
…000011111100001000
320101222101010001202211
4332122121003330020
52044221240123230
650441451034504
74561455102322
oct763231037410
9211871101684
1067014770440
112646a0aaa02
1210ba313ba34
13641cb35127
14335a376612
151b234d842a
hexf9a643f08

67014770440 has 64 divisors (see below), whose sum is σ = 160724574000. Its totient is φ = 25059729408.

The previous prime is 67014770399. The next prime is 67014770441. The reversal of 67014770440 is 4407741076.

67014770440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6849548644 + 60165221796 = 82762^2 + 245286^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 67014770393 and 67014770402.

It is not an unprimeable number, because it can be changed into a prime (67014770441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229389 + ... + 432028.

Almost surely, 267014770440 is an apocalyptic number.

It is an amenable number.

67014770440 is an abundant number, since it is smaller than the sum of its proper divisors (93709803560).

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

67014770440 is a wasteful number, since it uses less digits than its factorization.

67014770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661594 (or 661590 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 67014770440 in words is "sixty-seven billion, fourteen million, seven hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 149 170 298 340 596 680 745 1192 1490 2533 2980 5066 5960 10132 12665 20264 25330 50660 101320 661417 1322834 2645668 3307085 5291336 6614170 11244089 13228340 22488178 26456680 44976356 56220445 89952712 98551133 112440890 197102266 224881780 394204532 449763560 492755665 788409064 985511330 1675369261 1971022660 3350738522 3942045320 6701477044 8376846305 13402954088 16753692610 33507385220 67014770440