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166918400737780 = 225119691773739313
BaseRepresentation
bin100101111100111110110111…
…111110111000000111110100
3210220000020120100021000022011
4211330332313332320013310
5133334242341042102110
61351001131003214004
750105312401231426
oct4574766776700764
9726006510230264
10166918400737780
114920477273212a
1216879aa2817304
13721a450a7cc33
142d30c72464816
151446de5e9c48a
hex97cfb7fb81f4

166918400737780 has 48 divisors (see below), whose sum is σ = 350586609745680. Its totient is φ = 66756319838208.

The previous prime is 166918400737717. The next prime is 166918400737789. The reversal of 166918400737780 is 87737004819661.

It can be written as a sum of positive squares in 8 ways, for example, as 188172028944 + 166730228708836 = 433788^2 + 12912406^2 .

It is a super-2 number, since 2×1669184007377802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166918400737789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245863404 + ... + 4245902716.

It is an arithmetic number, because the mean of its divisors is an integer number (7303887703035).

Almost surely, 2166918400737780 is an apocalyptic number.

166918400737780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166918400737780 is an abundant number, since it is smaller than the sum of its proper divisors (183668209007900).

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

166918400737780 is a wasteful number, since it uses less digits than its factorization.

166918400737780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69028 (or 69026 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 67.

The spelling of 166918400737780 in words is "one hundred sixty-six trillion, nine hundred eighteen billion, four hundred million, seven hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 11969 17737 23938 35474 39313 47876 59845 70948 78626 88685 119690 157252 177370 196565 239380 354740 393130 786260 212294153 424588306 470537297 697294681 849176612 941074594 1061470765 1394589362 1882149188 2122941530 2352686485 2789178724 3486473405 4245883060 4705372970 6972946810 9410745940 13945893620 8345920036889 16691840073778 33383680147556 41729600184445 83459200368890 166918400737780