Search a number
-
+
2700951012 = 22323137149439
BaseRepresentation
bin1010000011111101…
…0011110111100100
320222020022112020200
42200333103313210
521012420413022
61124002430500
7123634463514
oct24077236744
96866275220
102700951012
111166686521
12634662430
1334075a586
141b89dd844
1510c1c1bac
hexa0fd3de4

2700951012 has 144 divisors (see below), whose sum is σ = 7303296000. Its totient is φ = 840119040.

The previous prime is 2700950999. The next prime is 2700951013. The reversal of 2700951012 is 2101590072.

It is not an unprimeable number, because it can be changed into a prime (2700951013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6152289 + ... + 6152727.

Almost surely, 22700951012 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 2700951012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651648000).

2700951012 is an abundant number, since it is smaller than the sum of its proper divisors (4602344988).

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

2700951012 is a wasteful number, since it uses less digits than its factorization.

2700951012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2700951012 is about 51970.6745386280. The cubic root of 2700951012 is about 1392.6401200288.

The spelling of 2700951012 in words is "two billion, seven hundred million, nine hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 149 186 222 279 298 333 372 439 444 447 558 596 666 878 894 1116 1147 1317 1332 1341 1756 1788 2294 2634 2682 3441 3951 4588 4619 5268 5364 5513 6882 7902 9238 10323 11026 13609 13764 13857 15804 16243 16539 18476 20646 22052 27218 27714 32486 33078 40827 41292 41571 48729 49617 54436 55428 64972 65411 66156 81654 83142 97458 99234 122481 130822 146187 163308 166284 170903 194916 196233 198468 244962 261644 292374 341806 392466 489924 503533 512709 584748 588699 683612 784932 1007066 1025418 1177398 1510599 1538127 2014132 2027741 2050836 2354796 2420207 3021198 3076254 4055482 4531797 4840414 6042396 6083223 6152508 7260621 8110964 9063594 9680828 12166446 14521242 18127188 18249669 21781863 24332892 29042484 36499338 43563726 72998676 75026417 87127452 150052834 225079251 300105668 450158502 675237753 900317004 1350475506 2700951012