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13821871104 = 2103555547
BaseRepresentation
bin11001101111101100…
…10000010000000000
31022200021021210200000
430313312100100000
5211301344333404
610203310400000
7666342652206
oct146766202000
938607253600
1013821871104
1159530a4378
122818b00000
1313c3741872
14951989076
1555d699339
hex337d90400

13821871104 has 132 divisors (see below), whose sum is σ = 41389259184. Its totient is φ = 4607207424.

The previous prime is 13821871099. The next prime is 13821871121. The reversal of 13821871104 is 40117812831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221059 + ... + 276605.

Almost surely, 213821871104 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 13821871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694629592).

13821871104 is an abundant number, since it is smaller than the sum of its proper divisors (27567388080).

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

13821871104 is an frugal number, since it uses more digits than its factorization.

13821871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55582 (or 55552 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 13821871104 in words is "thirteen billion, eight hundred twenty-one million, eight hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 55547 62208 82944 111094 124416 166641 222188 248832 333282 444376 499923 666564 888752 999846 1333128 1499769 1777504 1999692 2666256 2999538 3555008 3999384 4499307 5332512 5999076 7110016 7998768 8998614 10665024 11998152 13497921 14220032 15997536 17997228 21330048 23996304 26995842 28440064 31995072 35994456 42660096 47992608 53991684 56880128 63990144 71988912 85320192 95985216 107983368 127980288 143977824 170640384 191970432 215966736 255960576 287955648 383940864 431933472 511921152 575911296 767881728 863866944 1151822592 1535763456 1727733888 2303645184 3455467776 4607290368 6910935552 13821871104