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90036127014 = 232331127165719
BaseRepresentation
bin101001111011010010…
…0100100010100100110
322121101202212011001220
41103312210210110212
52433343222031024
6105210110401210
76335115311061
oct1236644442446
9277352764056
1090036127014
1135203056929
1215548b00206
13864b461002
144501a238d8
15251e615e79
hex14f6924526

90036127014 has 64 divisors (see below), whose sum is σ = 195491266560. Its totient is φ = 27562217760.

The previous prime is 90036126979. The next prime is 90036127021. The reversal of 90036127014 is 41072163009.

It is a super-2 number, since 2×900361270142 (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 31 ways as a sum of consecutive naturals, for example, 460447 + ... + 626165.

It is an arithmetic number, because the mean of its divisors is an integer number (3054551040).

Almost surely, 290036127014 is an apocalyptic number.

90036127014 is an abundant number, since it is smaller than the sum of its proper divisors (105455139546).

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

90036127014 is a wasteful number, since it uses less digits than its factorization.

90036127014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165905.

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 90036127014 in words is "ninety billion, thirty-six million, one hundred twenty-seven thousand, fourteen".

Divisors: 1 2 3 6 23 31 46 62 69 93 127 138 186 254 381 713 762 1426 2139 2921 3937 4278 5842 7874 8763 11811 17526 23622 90551 165719 181102 271653 331438 497157 543306 994314 3811537 5137289 7623074 10274578 11434611 15411867 21046313 22869222 30823734 42092626 63138939 118157647 126277878 236315294 354472941 484065199 652435703 708945882 968130398 1304871406 1452195597 1957307109 2904391194 3914614218 15006021169 30012042338 45018063507 90036127014