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154642541161612 = 2273839182373693
BaseRepresentation
bin100011001010010110000101…
…101110111010110010001100
3202021112200102120201110202011
4203022112011232322302030
5130232130411014132422
61304521445213111004
744400361221421000
oct4312260556726214
9667480376643664
10154642541161612
1145301595a65829
1215416916188464
13683996298600a
142a28a4b894700
1512d2919d9b077
hex8ca585bbac8c

154642541161612 has 96 divisors (see below), whose sum is σ = 316150797312000. Its totient is φ = 66159171925056.

The previous prime is 154642541161567. The next prime is 154642541161621. The reversal of 154642541161612 is 216161145246451.

It is a happy number.

154642541161612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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, 2098433038 + ... + 2098506730.

It is an arithmetic number, because the mean of its divisors is an integer number (3293237472000).

Almost surely, 2154642541161612 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 154642541161612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158075398656000).

154642541161612 is an abundant number, since it is smaller than the sum of its proper divisors (161508256150388).

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

154642541161612 is a wasteful number, since it uses less digits than its factorization.

154642541161612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76380 (or 76364 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

The spelling of 154642541161612 in words is "one hundred fifty-four trillion, six hundred forty-two billion, five hundred forty-one million, one hundred sixty-one thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 839 1372 1678 1823 3356 3646 5873 7292 11746 12761 23492 25522 41111 51044 73693 82222 89327 147386 164444 178654 287777 294772 357308 515851 575554 625289 1031702 1151108 1250578 1529497 2063404 2501156 3058994 3610957 6117988 7221914 10706479 14443828 21412958 25276699 42825916 50553398 61828427 74945353 101106796 123656854 134342339 149890706 247313708 268684678 299781412 432798989 524617471 537369356 865597978 940396373 1049234942 1731195956 1880792746 2098469884 3029592923 3761585492 6059185846 6582774611 12118371692 13165549222 21207150461 26331098444 42414300922 46079422277 84828601844 92158844554 112713222421 184317689108 225426444842 450852889684 788992556947 1577985113894 3155970227788 5522947898629 11045895797258 22091791594516 38660635290403 77321270580806 154642541161612