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2129977192 = 2371723891093
BaseRepresentation
bin111111011110100…
…1101111101101000
312111102221001102011
41332331031331220
513330233232232
6551204445304
7103532336020
oct17675157550
95442831364
102129977192
119a3353432
124b53a9834
1327c385645
14162c50a80
15c6ed9547
hex7ef4df68

2129977192 has 128 divisors (see below), whose sum is σ = 5104166400. Its totient is φ = 811819008.

The previous prime is 2129977177. The next prime is 2129977219. The reversal of 2129977192 is 2917799212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948198 + ... + 1949290.

It is an arithmetic number, because the mean of its divisors is an integer number (39876300).

Almost surely, 22129977192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129977192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552083200).

2129977192 is an abundant number, since it is smaller than the sum of its proper divisors (2974189208).

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

2129977192 is a wasteful number, since it uses less digits than its factorization.

2129977192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1231 counting only the distinct ones).

The product of its digits is 285768, while the sum is 49.

The square root of 2129977192 is about 46151.6759392332. The cubic root of 2129977192 is about 1286.6437587386.

The spelling of 2129977192 in words is "two billion, one hundred twenty-nine million, nine hundred seventy-seven thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 89 92 119 136 161 178 184 238 322 356 391 476 623 644 712 782 952 1093 1246 1288 1513 1564 2047 2186 2492 2737 3026 3128 4094 4372 4984 5474 6052 7651 8188 8744 10591 10948 12104 14329 15302 16376 18581 21182 21896 25139 28658 30604 34799 37162 42364 50278 57316 61208 69598 74324 84728 97277 100556 114632 130067 139196 148648 175973 194554 201112 243593 260134 278392 351946 389108 427363 487186 520268 680939 703892 778216 854726 974372 1040536 1361878 1407784 1653709 1709452 1948744 2237371 2723756 2991541 3307418 3418904 4474742 5447512 5983082 6614836 8949484 11575963 11966164 13229672 15661597 17898968 23151926 23932328 31323194 38035307 46303852 62646388 76070614 92607704 125292776 152141228 266247149 304282456 532494298 1064988596 2129977192