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3128164670640 = 243547277319563
BaseRepresentation
bin101101100001010101001…
…001001101110010110000
3102002001100011201010111110
4231201111021031302300
5402222440123430030
610353020425113320
7442000556661012
oct55412511156260
912061304633443
103128164670640
11aa6713450789
12426314028840
13198ca53c4a19
14ab5927301b2
15565863c11b0
hex2d85524dcb0

3128164670640 has 80 divisors (see below), whose sum is σ = 9903636269568. Its totient is φ = 816428790528.

The previous prime is 3128164670629. The next prime is 3128164670711. The reversal of 3128164670640 is 460764618213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3128164670640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138648502 + ... + 138671061.

Almost surely, 23128164670640 is an apocalyptic number.

3128164670640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3128164670640 is an abundant number, since it is smaller than the sum of its proper divisors (6775471598928).

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

3128164670640 is a wasteful number, since it uses less digits than its factorization.

3128164670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277319626 (or 277319620 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 3128164670640 in words is "three trillion, one hundred twenty-eight billion, one hundred sixty-four million, six hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 277319563 554639126 831958689 1109278252 1386597815 1663917378 2218556504 2773195630 3327834756 4159793445 4437113008 5546391260 6655669512 8319586890 11092782520 13034019461 13311339024 16639173780 22185565040 26068038922 33278347560 39102058383 52136077844 65170097305 66556695120 78204116766 104272155688 130340194610 156408233532 195510291915 208544311376 260680389220 312816467064 391020583830 521360778440 625632934128 782041167660 1042721556880 1564082335320 3128164670640