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113508420948 = 2232137310731051
BaseRepresentation
bin110100110110110100…
…0010000110101010100
3101211222121010020010200
41221231220100311110
53324431123432243
6124051155220500
711125562441646
oct1515550206524
9354877106120
10113508420948
11441585a975a
1219bb98a7730
13a91c324430
1456cb134896
152e45119ad3
hex1a6da10d54

113508420948 has 144 divisors (see below), whose sum is σ = 316165502016. Its totient is φ = 34124198400.

The previous prime is 113508420937. The next prime is 113508420959. The reversal of 113508420948 is 849024805311.

113508420948 is a `hidden beast` number, since 1 + 13 + 508 + 42 + 0 + 94 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113508420937) and next prime (113508420959).

It is a super-2 number, since 2×1135084209482 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3640023 + ... + 3671073.

It is an arithmetic number, because the mean of its divisors is an integer number (2195593764).

Almost surely, 2113508420948 is an apocalyptic number.

113508420948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113508420948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158082751008).

113508420948 is an abundant number, since it is smaller than the sum of its proper divisors (202657081068).

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

113508420948 is a wasteful number, since it uses less digits than its factorization.

113508420948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31254 (or 31249 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 113508420948 in words is "one hundred thirteen billion, five hundred eight million, four hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 107 117 146 156 214 219 234 292 321 428 438 468 642 657 876 949 963 1284 1314 1391 1898 1926 2628 2782 2847 3796 3852 4173 5564 5694 7811 8346 8541 11388 12519 15622 16692 17082 23433 25038 31051 31244 34164 46866 50076 62102 70299 93153 93732 101543 124204 140598 186306 203086 279459 281196 304629 372612 403663 406172 558918 609258 807326 913887 1117836 1210989 1218516 1614652 1827774 2266723 2421978 3322457 3632967 3655548 4533446 4843956 6644914 6800169 7265934 9066892 9967371 13289828 13600338 14531868 19934742 20400507 27200676 29467399 29902113 39869484 40801014 43191941 58934798 59804226 81602028 86383882 88402197 117869596 119608452 129575823 172767764 176804394 242539361 259151646 265206591 353608788 388727469 485078722 518303292 530413182 727618083 777454938 970157444 1060826364 1455236166 1554909876 2182854249 2910472332 3153011693 4365708498 6306023386 8731416996 9459035079 12612046772 18918070158 28377105237 37836140316 56754210474 113508420948