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96541431120 = 243554966123
BaseRepresentation
bin101100111101001010…
…0010101010101010000
3100020012010201211200000
41121322110111111100
53040204101243440
6112203413530000
76655246424211
oct1317224252520
9306163654600
1096541431120
1137a41137112
1216863643900
13914711b194
14495b9a9408
1527a07b3730
hex167a515550

96541431120 has 120 divisors (see below), whose sum is σ = 336226459296. Its totient is φ = 25744376448.

The previous prime is 96541431113. The next prime is 96541431131. The reversal of 96541431120 is 2113414569.

It is a happy number.

96541431120 is a `hidden beast` number, since 9 + 65 + 41 + 431 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2463622 + ... + 2502501.

Almost surely, 296541431120 is an apocalyptic number.

96541431120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96541431120 is an abundant number, since it is smaller than the sum of its proper divisors (239685028176).

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

96541431120 is a wasteful number, since it uses less digits than its factorization.

96541431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966151 (or 4966133 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 96541431120 its reverse (2113414569), we get a palindrome (98654845689).

The spelling of 96541431120 in words is "ninety-six billion, five hundred forty-one million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 4966123 9932246 14898369 19864492 24830615 29796738 39728984 44695107 49661230 59593476 74491845 79457968 89390214 99322460 119186952 134085321 148983690 178780428 198644920 223475535 238373904 268170642 297967380 357560856 397289840 402255963 446951070 536341284 595934760 670426605 715121712 804511926 893902140 1072682568 1191869520 1206767889 1340853210 1609023852 1787804280 2011279815 2145365136 2413535778 2681706420 3218047704 3575608560 4022559630 4827071556 5363412840 6033839445 6436095408 8045119260 9654143112 10726825680 12067678890 16090238520 19308286224 24135357780 32180477040 48270715560 96541431120