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166173630736 = 2422324572
BaseRepresentation
bin1001101011000010111…
…0000110000100010000
3120212220221000002021011
42122300232012010100
510210310422140421
6204201125340304
715001636361431
oct2326056060420
9525827002234
10166173630736
1164523756323
1228257267694
13128932b9469
1480857dd488
1544c89714e1
hex26b0b86110

166173630736 has 45 divisors (see below), whose sum is σ = 324120889701. Its totient is φ = 82533234816.

The previous prime is 166173630673. The next prime is 166173630737. The reversal of 166173630736 is 637036371661.

The square root of 166173630736 is 407644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 143716810000 + 22456820736 = 379100^2 + 149856^2 .

It is a super-2 number, since 2×1661736307362 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166173630736.

It is not an unprimeable number, because it can be changed into a prime (166173630737) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 363618220 + ... + 363618676.

Almost surely, 2166173630736 is an apocalyptic number.

166173630736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166173630736 is the 407644-th square number.

It is an amenable number.

166173630736 is a deficient number, since it is larger than the sum of its proper divisors (157947258965).

166173630736 is an frugal number, since it uses more digits than its factorization.

166173630736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 49.

Multiplying 166173630736 by its sum of digits (49), we get a square (8142507906064 = 28535082).

The spelling of 166173630736 in words is "one hundred sixty-six billion, one hundred seventy-three million, six hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 223 446 457 892 914 1784 1828 3568 3656 7312 49729 99458 101911 198916 203822 208849 397832 407644 417698 795664 815288 835396 1630576 1670792 3341584 22726153 45452306 46573327 90904612 93146654 181809224 186293308 363618448 372586616 745173232 10385851921 20771703842 41543407684 83086815368 166173630736