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172086364674 = 23373311072801
BaseRepresentation
bin1010000001000100100…
…1011000101000000010
3121110011222212002102000
42200101021120220002
510304413102132144
6211015544004430
715301313652000
oct2402111305002
9543158762360
10172086364674
1166a882a28a4
1229427460716
13132c627c7b3
148486bb3a70
154722abc769
hex2811258a02

172086364674 has 256 divisors, whose sum is σ = 464818176000. Its totient is φ = 47119968000.

The previous prime is 172086364663. The next prime is 172086364777. The reversal of 172086364674 is 476463680271.

172086364674 is a `hidden beast` number, since 1 + 7 + 208 + 6 + 364 + 6 + 74 = 666.

172086364674 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1720863646742 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 172086364674.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61436074 + ... + 61438874.

It is an arithmetic number, because the mean of its divisors is an integer number (1815696000).

Almost surely, 2172086364674 is an apocalyptic number.

172086364674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172086364674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232409088000).

172086364674 is an abundant number, since it is smaller than the sum of its proper divisors (292731811326).

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

172086364674 is a wasteful number, since it uses less digits than its factorization.

172086364674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 172086364674 in words is "one hundred seventy-two billion, eighty-six million, three hundred sixty-four thousand, six hundred seventy-four".