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103537219984 = 241127121032
BaseRepresentation
bin110000001101101001…
…1001001100110010000
3100220020200112201212021
41200123103021212100
53144021012014414
6115321521541224
710323514564132
oct1403323114620
9326220481767
10103537219984
113aa01074900
12180964a4814
1399c05ab413
145022b4b052
152a5ea49c24
hex181b4c9990

103537219984 has 135 divisors (see below), whose sum is σ = 225839670987. Its totient is φ = 45949041600.

The previous prime is 103537219969. The next prime is 103537219987. The reversal of 103537219984 is 489912735301.

The square root of 103537219984 is 321772.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103537219987) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1005215677 + ... + 1005215779.

Almost surely, 2103537219984 is an apocalyptic number.

103537219984 is the 321772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103537219984

103537219984 is an abundant number, since it is smaller than the sum of its proper divisors (122302451003).

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

103537219984 is an equidigital number, since it uses as much as digits as its factorization.

103537219984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 103537219984 in words is "one hundred three billion, five hundred thirty-seven million, two hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 103 121 142 176 206 242 284 412 484 568 781 824 968 1133 1136 1562 1648 1936 2266 3124 4532 5041 6248 7313 8591 9064 10082 10609 12463 12496 14626 17182 18128 20164 21218 24926 29252 34364 40328 42436 49852 55451 58504 68728 80443 80656 84872 99704 110902 116699 117008 137456 160886 169744 199408 221804 233398 321772 443608 466796 519223 609961 643544 753239 884873 887216 933592 1038446 1219922 1283689 1287088 1506478 1769746 1867184 2076892 2439844 2567378 3012956 3539492 4153784 4879688 5134756 5711453 6025912 7078984 8285629 8307568 9759376 10269512 11422906 12051824 14157968 16571258 20539024 22845812 33142516 45691624 53479969 62825983 66285032 91141919 91383248 106959938 125651966 132570064 182283838 213919876 251303932 364567676 427839752 502607864 588279659 729135352 855679504 1005215728 1176559318 1458270704 2353118636 4706237272 6471076249 9412474544 12942152498 25884304996 51768609992 103537219984