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190421395129 = 721721921932
BaseRepresentation
bin1011000101010111111…
…1111110011010111001
3200012111210110010211001
42301111333332122321
511104440334121004
6223251155205001
716520551103200
oct2612577763271
9605453403731
10190421395129
1173836a05629
1230aa38a6761
1314c58a24744
149305cd2237
154e475a41a4
hex2c55ffe6b9

190421395129 has 81 divisors (see below), whose sum is σ = 249636936717. Its totient is φ = 144778088448.

The previous prime is 190421395123. The next prime is 190421395133. The reversal of 190421395129 is 921593124091.

The square root of 190421395129 is 436373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 116057529 + 190305337600 = 10773^2 + 436240^2 .

It is not a de Polignac number, because 190421395129 - 211 = 190421393081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (190421395123) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 986639257 + ... + 986639449.

Almost surely, 2190421395129 is an apocalyptic number.

190421395129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

190421395129 is the 436373-rd square number.

190421395129 is the 218187-th centered octagonal number.

It is an amenable number.

190421395129 is a deficient number, since it is larger than the sum of its proper divisors (59215541588).

190421395129 is an equidigital number, since it uses as much as digits as its factorization.

190421395129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 190421395129 in words is "one hundred ninety billion, four hundred twenty-one million, three hundred ninety-five thousand, one hundred twenty-nine".

Divisors: 1 7 17 19 49 119 133 193 289 323 361 833 931 1351 2023 2261 2527 3281 3667 5491 6137 9457 14161 15827 17689 22967 25669 37249 38437 42959 55777 62339 69673 104329 160769 179683 260743 269059 300713 390439 436373 487711 633233 707731 730303 1059763 1184441 1825201 2733073 3054611 3413977 4432631 4954117 5112121 7418341 8291087 10764961 12031427 13446889 20135497 31028417 34678819 51928387 58037609 75354727 84219989 94128223 140948479 204534259 228597113 527483089 589539923 658897561 986639353 1431739813 1600179791 3886150921 10022178691 11201258537 27203056447 190421395129