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42171178644 = 22327768121787
BaseRepresentation
bin100111010001100110…
…010001111010010100
311000211222111211200100
4213101212101322110
51142331310204034
631212334414100
73022020050460
oct472146217224
9130758454610
1042171178644
1116980592761
12820b061330
133c90b3255a
142080aa54a0
15116c40e099
hex9d1991e94

42171178644 has 72 divisors (see below), whose sum is σ = 121849302848. Its totient is φ = 12046786560.

The previous prime is 42171178627. The next prime is 42171178649. The reversal of 42171178644 is 44687117124.

It is a super-4 number, since 4×421711786444 (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42171178644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42171178649) 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 23 ways as a sum of consecutive naturals, for example, 1924719 + ... + 1946505.

Almost surely, 242171178644 is an apocalyptic number.

It is an amenable number.

42171178644 is an abundant number, since it is smaller than the sum of its proper divisors (79678124204).

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

42171178644 is a wasteful number, since it uses less digits than its factorization.

42171178644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29485 (or 29480 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 42171178644 in words is "forty-two billion, one hundred seventy-one million, one hundred seventy-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 7681 15362 21787 23043 30724 43574 46086 53767 65361 69129 87148 92172 107534 130722 138258 152509 161301 196083 215068 261444 276516 305018 322602 392166 457527 483903 610036 645204 784332 915054 967806 1372581 1830108 1935612 2745162 5490324 167345947 334691894 502037841 669383788 1004075682 1171421629 1506113523 2008151364 2342843258 3012227046 3514264887 4685686516 6024454092 7028529774 10542794661 14057059548 21085589322 42171178644