Search a number
-
+
12937974280 = 23571114472903
BaseRepresentation
bin11000000110010100…
…11101001000001000
31020101200002012011121
430003022131020020
5202444110134110
65535453405024
7635420652430
oct140312351010
936350065147
1012937974280
11553a170630
122610a99774
1312b25959aa
148aa4212c0
1550ac9dcda
hex30329d208

12937974280 has 128 divisors (see below), whose sum is σ = 36331130880. Its totient is φ = 4028440320.

The previous prime is 12937974271. The next prime is 12937974293. The reversal of 12937974280 is 8247973921.

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, 4455309 + ... + 4458211.

It is an arithmetic number, because the mean of its divisors is an integer number (283836960).

Almost surely, 212937974280 is an apocalyptic number.

12937974280 is a gapful number since it is divisible by the number (10) 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 12937974280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165565440).

12937974280 is an abundant number, since it is smaller than the sum of its proper divisors (23393156600).

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

12937974280 is a wasteful number, since it uses less digits than its factorization.

12937974280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 12937974280 in words is "twelve billion, nine hundred thirty-seven million, nine hundred seventy-four thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1447 1540 2894 2903 3080 5788 5806 7235 10129 11576 11612 14470 14515 15917 20258 20321 23224 28940 29030 31834 31933 40516 40642 50645 57880 58060 63668 63866 79585 81032 81284 101290 101605 111419 116120 127336 127732 159170 159665 162568 202580 203210 222838 223531 255464 318340 319330 405160 406420 445676 447062 557095 636680 638660 812840 891352 894124 1114190 1117655 1277320 1788248 2228380 2235310 4200641 4456760 4470620 8401282 8941240 16802564 21003205 29404487 33605128 42006410 46207051 58808974 84012820 92414102 117617948 147022435 168025640 184828204 231035255 235235896 294044870 323449357 369656408 462070510 588089740 646898714 924141020 1176179480 1293797428 1617246785 1848282040 2587594856 3234493570 6468987140 12937974280