Search a number
-
+
21377338710 = 23571319412133
BaseRepresentation
bin10011111010001100…
…000100110101010110
32001011211020022202120
4103322030010311112
5322240044314320
613453130320410
71354515244440
oct237214046526
961154208676
1021377338710
11907aa4aa82
124187289106
132028b50860
14106b1b9490
15851b36440
hex4fa304d56

21377338710 has 128 divisors (see below), whose sum is σ = 66468971520. Its totient is φ = 4272984576.

The previous prime is 21377338699. The next prime is 21377338711. The reversal of 21377338710 is 1783377312.

It is a super-2 number, since 2×213773387102 (a number of 21 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21377338711) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 154197 + ... + 257936.

It is an arithmetic number, because the mean of its divisors is an integer number (519288840).

Almost surely, 221377338710 is an apocalyptic number.

21377338710 is an abundant number, since it is smaller than the sum of its proper divisors (45091632810).

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

21377338710 is a wasteful number, since it uses less digits than its factorization.

21377338710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412182.

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 21377338710 in words is "twenty-one billion, three hundred seventy-seven million, three hundred thirty-eight thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 3458 3705 3990 5187 7410 8645 10374 17290 25935 51870 412133 824266 1236399 2060665 2472798 2884931 4121330 5357729 5769862 6181995 7830527 8654793 10715458 12363990 14424655 15661054 16073187 17309586 23491581 26788645 28849310 32146374 37504103 39152635 43273965 46983162 53577290 54813689 75008206 78305270 80365935 86547930 101796851 109627378 112512309 117457905 160731870 164441067 187520515 203593702 225024618 234915810 274068445 305390553 328882134 375041030 508984255 548136890 562561545 610781106 712577957 822205335 1017968510 1125123090 1425155914 1526952765 1644410670 2137733871 3053905530 3562889785 4275467742 7125779570 10688669355 21377338710