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105553462434 = 23717373995513
BaseRepresentation
bin110001001001101111…
…0100000010010100010
3101002110012110110112120
41202103132200102202
53212133141244214
6120253545005110
710424466425040
oct1422336402242
9332405413476
10105553462434
11408461a5682
1218559783796
139c522217a4
145174833390
152b2ba69ea9
hex18937a04a2

105553462434 has 64 divisors (see below), whose sum is σ = 262361431296. Its totient is φ = 27616978944.

The previous prime is 105553462423. The next prime is 105553462453. The reversal of 105553462434 is 434264355501.

It is a super-2 number, since 2×1055534624342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

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, 1971339 + ... + 2024174.

It is an arithmetic number, because the mean of its divisors is an integer number (4099397364).

Almost surely, 2105553462434 is an apocalyptic number.

105553462434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105553462434 is an abundant number, since it is smaller than the sum of its proper divisors (156807968862).

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

105553462434 is a wasteful number, since it uses less digits than its factorization.

105553462434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995579.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 105553462434 in words is "one hundred five billion, five hundred fifty-three million, four hundred sixty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 629 714 777 1258 1554 1887 3774 4403 8806 13209 26418 3995513 7991026 11986539 23973078 27968591 55937182 67923721 83905773 135847442 147833981 167811546 203771163 295667962 407542326 443501943 475466047 887003886 950932094 1034837867 1426398141 2069675734 2513177677 2852796282 3104513601 5026355354 6209027202 7539533031 15079066062 17592243739 35184487478 52776731217 105553462434