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154642621104444 = 2231118121373028811
BaseRepresentation
bin100011001010010110001010…
…011111111000000100111100
3202021112200122011010222200210
4203022112022133320010330
5130232131042000320234
61304521501150352420
744400363212055324
oct4312261237700474
9667480564128623
10154642621104444
11453016270a7a90
1215416938abb710
1368399763c6375
142a28a58344284
1512d2921ddcbe9
hex8ca58a7f813c

154642621104444 has 96 divisors (see below), whose sum is σ = 395995894624512. Its totient is φ = 46580674752000.

The previous prime is 154642621104371. The next prime is 154642621104449. The reversal of 154642621104444 is 444401126246451.

It is a junction number, because it is equal to n+sod(n) for n = 154642621104393 and 154642621104402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154642621104449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49542799 + ... + 52571609.

It is an arithmetic number, because the mean of its divisors is an integer number (4124957235672).

Almost surely, 2154642621104444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154642621104444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197997947312256).

154642621104444 is an abundant number, since it is smaller than the sum of its proper divisors (241353273520068).

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

154642621104444 is a wasteful number, since it uses less digits than its factorization.

154642621104444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031147 (or 3031145 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 154642621104444 in words is "one hundred fifty-four trillion, six hundred forty-two billion, six hundred twenty-one million, one hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2137 2172 3982 4274 5973 6411 7964 8548 11946 12822 23507 23892 25644 47014 70521 94028 141042 282084 386797 773594 1160391 1547188 2320782 3028811 4254767 4641564 6057622 8509534 9086433 12115244 12764301 17019068 18172866 25528602 33316921 36345732 51057204 66633842 99950763 133267684 199901526 399803052 548214791 1096429582 1644644373 2192859164 3289288746 6030362701 6472569107 6578577492 12060725402 12945138214 18091088103 19417707321 24121450804 25890276428 36182176206 38835414642 71198260177 72364352412 77670829284 142396520354 213594780531 284793040708 427189561062 854379122124 1171535008367 2343070016734 3514605025101 4686140033468 7029210050202 12886885092037 14058420100404 25773770184074 38660655276111 51547540368148 77321310552222 154642621104444