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90986118444 = 2232131948721011
BaseRepresentation
bin101010010111100110…
…0011111110100101100
322200211222102201022200
41110233030133310230
52442314421242234
6105444244141500
76400502150304
oct1245714376454
9280758381280
1090986118444
1135650323511
1215773097890
13877020bc10
144591c74604
152577c19d99
hex152f31fd2c

90986118444 has 144 divisors (see below), whose sum is σ = 261268250880. Its totient is φ = 26466549120.

The previous prime is 90986118413. The next prime is 90986118481. The reversal of 90986118444 is 44481168909.

It is a happy number.

90986118444 is a `hidden beast` number, since 9 + 0 + 9 + 86 + 118 + 444 = 666.

It is a super-2 number, since 2×909861184442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4319899 + ... + 4340909.

Almost surely, 290986118444 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 90986118444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130634125440).

90986118444 is an abundant number, since it is smaller than the sum of its proper divisors (170282132436).

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

90986118444 is a wasteful number, since it uses less digits than its factorization.

90986118444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21540 (or 21535 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 90986118444 in words is "ninety billion, nine hundred eighty-six million, one hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 487 494 684 741 974 988 1461 1482 1948 2223 2922 2964 4383 4446 5844 6331 8766 8892 9253 12662 17532 18506 18993 21011 25324 27759 37012 37986 42022 55518 56979 63033 75972 83277 84044 111036 113958 120289 126066 166554 189099 227916 240578 252132 273143 333108 360867 378198 399209 481156 546286 721734 756396 798418 819429 1082601 1092572 1197627 1443468 1596836 1638858 2165202 2395254 2458287 3277716 3592881 4330404 4790508 4916574 5189717 7185762 9833148 10232357 10379434 14371524 15569151 20464714 20758868 30697071 31138302 40929428 46707453 61394142 62276604 92091213 93414906 122788284 133020641 184182426 186829812 194414783 266041282 368364852 388829566 399061923 532082564 583244349 777659132 798123846 1166488698 1197185769 1596247692 1749733047 2332977396 2394371538 2527392179 3499466094 4788743076 5054784358 6998932188 7582176537 10109568716 15164353074 22746529611 30328706148 45493059222 90986118444