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189077840172 = 223213267463849
BaseRepresentation
bin1011000000010111101…
…0101110000100101100
3200002001011022110220100
42300011322232010230
511044212411341142
6222510002151100
716442345060304
oct2600572560454
9602034273810
10189077840172
1173207569931
1230789952490
1314aa3579b00
1492196b4604
154db965db4c
hex2c05eae12c

189077840172 has 108 divisors (see below), whose sum is σ = 525265595400. Its totient is φ = 57309348096.

The previous prime is 189077840137. The next prime is 189077840173. The reversal of 189077840172 is 271048770981.

189077840172 is a `hidden beast` number, since 18 + 90 + 7 + 78 + 401 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (189077840173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175704 + ... + 639552.

Almost surely, 2189077840172 is an apocalyptic number.

189077840172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189077840172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262632797700).

189077840172 is an abundant number, since it is smaller than the sum of its proper divisors (336187755228).

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

189077840172 is a wasteful number, since it uses less digits than its factorization.

189077840172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463952 (or 463934 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 189077840172 in words is "one hundred eighty-nine billion, seventy-seven million, eight hundred forty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 169 201 234 268 338 402 468 507 603 676 804 871 1014 1206 1521 1742 2028 2412 2613 3042 3484 5226 6084 7839 10452 11323 15678 22646 31356 33969 45292 67938 101907 135876 203814 407628 463849 927698 1391547 1855396 2783094 4174641 5566188 6030037 8349282 12060074 16698564 18090111 24120148 31077883 36180222 54270333 62155766 72360444 78390481 93233649 108540666 124311532 156780962 186467298 217081332 235171443 279700947 313561924 372934596 404012479 470342886 559401894 705514329 808024958 940685772 1118803788 1212037437 1411028658 1616049916 2424074874 2822057316 3636112311 4848149748 5252162227 7272224622 10504324454 14544449244 15756486681 21008648908 31512973362 47269460043 63025946724 94538920086 189077840172