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18700950144 = 273712812441
BaseRepresentation
bin10001011010101010…
…011101101010000000
31210021022010200212010
4101122222131222000
5301244420401034
612331402132520
71231266311352
oct213252355200
953238120763
1018700950144
117a272206a8
12375aab1140
1319c0513296
14c959710d2
15746bb73e9
hex45aa9da80

18700950144 has 128 divisors (see below), whose sum is σ = 50574015360. Its totient is φ = 6121472000.

The previous prime is 18700950139. The next prime is 18700950187. The reversal of 18700950144 is 44105900781.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7659964 + ... + 7662404.

It is an arithmetic number, because the mean of its divisors is an integer number (395109495).

Almost surely, 218700950144 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 18700950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25287007680).

18700950144 is an abundant number, since it is smaller than the sum of its proper divisors (31873065216).

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

18700950144 is a wasteful number, since it uses less digits than its factorization.

18700950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 18700950144 in words is "eighteen billion, seven hundred million, nine hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 281 284 384 426 562 568 843 852 1124 1136 1686 1704 2248 2272 2441 3372 3408 4496 4544 4882 6744 6816 7323 8992 9088 9764 13488 13632 14646 17984 19528 19951 26976 27264 29292 35968 39056 39902 53952 58584 59853 78112 79804 107904 117168 119706 156224 159608 173311 234336 239412 312448 319216 346622 468672 478824 519933 638432 685921 693244 937344 957648 1039866 1276864 1371842 1386488 1915296 2057763 2079732 2553728 2743684 2772976 3830592 4115526 4159464 5487368 5545952 7661184 8231052 8318928 10974736 11091904 16462104 16637856 21949472 22183808 32924208 33275712 43898944 48700391 65848416 66551424 87797888 97400782 131696832 146101173 194801564 263393664 292202346 389603128 584404692 779206256 1168809384 1558412512 2337618768 3116825024 4675237536 6233650048 9350475072 18700950144