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113198691948 = 223193156328447
BaseRepresentation
bin110100101101100101…
…0101111011001101100
3101211012000022100211020
41221123022233121230
53323312331120243
6124000332454140
711115112001646
oct1513312573154
9354160270736
10113198691948
114400978a781
1219b3201a350
13a8a00cb234
14569bd4b896
152e27d38283
hex1a5b2af66c

113198691948 has 96 divisors (see below), whose sum is σ = 287520522240. Its totient is φ = 34531168320.

The previous prime is 113198691887. The next prime is 113198691953. The reversal of 113198691948 is 849196891311.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 113198691891 and 113198691900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3965061 + ... + 3993507.

It is an arithmetic number, because the mean of its divisors is an integer number (2995005440).

Almost surely, 2113198691948 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 113198691948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143760261120).

113198691948 is an abundant number, since it is smaller than the sum of its proper divisors (174321830292).

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

113198691948 is a wasteful number, since it uses less digits than its factorization.

113198691948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29067 (or 29065 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 60.

The spelling of 113198691948 in words is "one hundred thirteen billion, one hundred ninety-eight million, six hundred ninety-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 563 589 1126 1178 1689 1767 2252 2356 3378 3534 6756 7068 10697 17453 21394 28447 32091 34906 42788 52359 56894 64182 69812 85341 104718 113788 128364 170682 209436 331607 341364 540493 663214 881857 994821 1080986 1326428 1621479 1763714 1989642 2161972 2645571 3242958 3527428 3979284 5291142 6485916 10582284 16015661 16755283 32031322 33510566 48046983 50265849 64062644 67021132 96093966 100531698 192187932 201063396 304297559 496485491 608595118 912892677 992970982 1217190236 1489456473 1825785354 1985941964 2978912946 3651570708 5957825892 9433224329 18866448658 28299672987 37732897316 56599345974 113198691948