Search a number
-
+
20134098292 = 227114313910937
BaseRepresentation
bin10010110000000101…
…011111010101110100
31220222011212011112011
4102300011133111310
5312213312121132
613125515334004
71311641004010
oct226005372564
956864764464
1020134098292
1185a21a0060
123a9aa51304
131b8b3c9939
14d90031540
157cc908b47
hex4b015f574

20134098292 has 96 divisors (see below), whose sum is σ = 45278069760. Its totient is φ = 7606206720.

The previous prime is 20134098269. The next prime is 20134098307. The reversal of 20134098292 is 29289043102.

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, 1835448 + ... + 1846384.

It is an arithmetic number, because the mean of its divisors is an integer number (471646560).

Almost surely, 220134098292 is an apocalyptic number.

20134098292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134098292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639034880).

20134098292 is an abundant number, since it is smaller than the sum of its proper divisors (25143971468).

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

20134098292 is a wasteful number, since it uses less digits than its factorization.

20134098292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 20134098292 in words is "twenty billion, one hundred thirty-four million, ninety-eight thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 139 154 172 278 301 308 473 556 602 946 973 1204 1529 1892 1946 3058 3311 3892 5977 6116 6622 10703 10937 11954 13244 21406 21874 23908 41839 42812 43748 65747 76559 83678 120307 131494 153118 167356 240614 262988 306236 460229 470291 481228 842149 920458 940582 1520243 1684298 1840916 1881164 3040486 3292037 3368596 5173201 6080972 6584074 10346402 10641701 13168148 16722673 20692804 21283402 33445346 36212407 42566804 65370449 66890692 72424814 117058711 130740898 144849628 234117422 261481796 457593143 468234844 719074939 915186286 1438149878 1830372572 2876299756 5033524573 10067049146 20134098292