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190541621985 = 3511131731168559
BaseRepresentation
bin1011000101110100101…
…0100110101011100001
3200012211011200022001120
42301131022212223201
511110212123400420
6223311132122453
716523541030621
oct2613512465341
9605734608046
10190541621985
1173898861870
1230b18006429
1314c778ca9b0
149317c6a881
154e52e01d40
hex2c5d2a6ae1

190541621985 has 128 divisors (see below), whose sum is σ = 391469137920. Its totient is φ = 77671526400.

The previous prime is 190541621929. The next prime is 190541621987. The reversal of 190541621985 is 589126145091.

190541621985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 190541621985 - 210 = 190541620961 is a prime.

It is a super-2 number, since 2×1905416219852 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (190541621987) 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 127 ways as a sum of consecutive naturals, for example, 1046136 + ... + 1214694.

It is an arithmetic number, because the mean of its divisors is an integer number (3058352640).

Almost surely, 2190541621985 is an apocalyptic number.

190541621985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

190541621985 is an abundant number, since it is smaller than the sum of its proper divisors (200927515935).

190541621985 is a wasteful number, since it uses less digits than its factorization.

190541621985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168639.

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 190541621985 in words is "one hundred ninety billion, five hundred forty-one million, six hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 11 13 15 17 31 33 39 51 55 65 85 93 143 155 165 187 195 221 255 341 403 429 465 527 561 663 715 935 1023 1105 1209 1581 1705 2015 2145 2431 2635 2805 3315 4433 5115 5797 6045 6851 7293 7905 12155 13299 17391 20553 22165 28985 34255 36465 66495 75361 86955 102765 168559 226083 376805 505677 842795 1130415 1854149 2191267 2528385 2865503 5225329 5562447 6573801 8596509 9270745 10956335 14327515 15675987 24103937 26126645 27812235 31520533 32869005 37251539 42982545 57478619 67929277 72311811 78379935 88830593 94561599 111754617 120519685 157602665 172435857 186257695 203787831 266491779 287393095 339646385 361559055 409766929 444152965 472807995 558773085 747222047 862179285 977136523 1018939155 1154797709 1229300787 1332458895 2048834645 2241666141 2931409569 3464393127 3736110235 4885682615 5773988545 6146503935 11208330705 12702774799 14657047845 17321965635 38108324397 63513873995 190541621985