Search a number
-
+
30020997056164 = 226129724632
BaseRepresentation
bin1101101001101110011101…
…10111011000011010100100
310221021222102220100201122221
412310313032313120122210
512413331000221244124
6143503242231002124
76215642202413332
oct664671667303244
9127258386321587
1030020997056164
119624919213134
12344a32b209344
131399c7756313a
1475b049c54b52
15370dad343ce4
hex1b4dcedd86a4

30020997056164 has 81 divisors (see below), whose sum is σ = 54085253342211. Its totient is φ = 14580654359040.

The previous prime is 30020997056059. The next prime is 30020997056207. The reversal of 30020997056164 is 46165079902003.

It is a happy number.

The square root of 30020997056164 is 5479142.

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 11143779532900 + 18877217523264 = 3338230^2 + 4344792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64840166197 + ... + 64840166659.

Almost surely, 230020997056164 is an apocalyptic number.

30020997056164 is the 5479142-nd square number.

It is an amenable number.

30020997056164 is a deficient number, since it is larger than the sum of its proper divisors (24064256286047).

30020997056164 is an frugal number, since it uses more digits than its factorization.

30020997056164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 30020997056164 in words is "thirty trillion, twenty billion, nine hundred ninety-seven million, fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 61 97 122 194 244 388 463 926 1852 3721 5917 7442 9409 11834 14884 18818 23668 28243 37636 44911 56486 89822 112972 179644 214369 360937 428738 573949 721874 857476 1147898 1443748 1722823 2295796 2739571 3445646 4356367 5479142 6891292 8712734 10958284 13076509 17425468 20793793 26153018 35010889 41587586 52306036 70021778 83175172 140043556 167113831 265738387 334227662 531476774 668455324 797667049 1062953548 1268421373 1595334098 2016997921 2536842746 3190668196 4033995842 5073685492 8067991684 16210041607 32420083214 64840166428 77373703753 123036873181 154747407506 246073746362 309494815012 492147492724 7505249264041 15010498528082 30020997056164