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113021633432448 = 273413838538947
BaseRepresentation
bin11001101100101011100110…
…010100000000101110000000
3112211011202120221221021220000
4121230223212110000232000
5104303221301124314243
61040213231022520000
732543354303103366
oct3154534624005600
9484152527837800
10113021633432448
1133015229671964
1210814424436000
134b0ab81a19160
141dca3c2037636
15d0ee432c75d3
hex66cae6500b80

113021633432448 has 160 divisors (see below), whose sum is σ = 362223669367560. Its totient is φ = 34775887168512.

The previous prime is 113021633432441. The next prime is 113021633432599. The reversal of 113021633432448 is 844234336120311.

113021633432448 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 1 + 63 + 343 + 244 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113021633432441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 419134690 + ... + 419404257.

Almost surely, 2113021633432448 is an apocalyptic number.

113021633432448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113021633432448 is an abundant number, since it is smaller than the sum of its proper divisors (249202035935112).

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

113021633432448 is an equidigital number, since it uses as much as digits as its factorization.

113021633432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838538986 (or 838538965 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

Adding to 113021633432448 its reverse (844234336120311), we get a palindrome (957255969552759).

The spelling of 113021633432448 in words is "one hundred thirteen trillion, twenty-one billion, six hundred thirty-three million, four hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 134784 838538947 1677077894 2515616841 3354155788 5031233682 6708311576 7546850523 10062467364 10901006311 13416623152 15093701046 20124934728 21802012622 22640551569 26833246304 30187402092 32703018933 40249869456 43604025244 45281103138 53666492608 60374804184 65406037866 67921654707 80499738912 87208050488 90562206276 98109056799 107332985216 120749608368 130812075732 135843309414 160999477824 174416100976 181124412552 196218113598 241499216736 261624151464 271686618828 294327170397 321998955648 348832201952 362248825104 392436227196 482998433472 523248302928 543373237656 588654340794 697664403904 724497650208 784872454392 882981511191 965996866944 1046496605856 1086746475312 1177308681588 1395328807808 1448995300416 1569744908784 1765963022382 2092993211712 2173492950624 2354617363176 2897990600832 3139489817568 3531926044764 4185986423424 4346985901248 4709234726352 6278979635136 7063852089528 8693971802496 9418469452704 12557959270272 14127704179056 18836938905408 28255408358112 37673877810816 56510816716224 113021633432448