Search a number
-
+
137998826910 = 232572163191977
BaseRepresentation
bin1000000010000101011…
…1101111110110011110
3111012012101010202100100
42000201113233312132
54230110144430120
6143221253441530
712653511450300
oct2004127576636
9435171122310
10137998826910
115358581618a
12228b36402a6
13100230c69c9
146971949970
1538ca1cb490
hex20215efd9e

137998826910 has 144 divisors (see below), whose sum is σ = 419938820496. Its totient is φ = 31348912896.

The previous prime is 137998826881. The next prime is 137998826923. The reversal of 137998826910 is 19628899731.

It is a super-2 number, since 2×1379988269102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 622842 + ... + 814818.

It is an arithmetic number, because the mean of its divisors is an integer number (2916241809).

Almost surely, 2137998826910 is an apocalyptic number.

137998826910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137998826910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209969410248).

137998826910 is an abundant number, since it is smaller than the sum of its proper divisors (281939993586).

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

137998826910 is a wasteful number, since it uses less digits than its factorization.

137998826910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192167 (or 192157 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 137998826910 in words is "one hundred thirty-seven billion, nine hundred ninety-eight million, eight hundred twenty-six thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 163 210 245 294 315 326 441 489 490 630 735 815 882 978 1141 1467 1470 1630 2205 2282 2445 2934 3423 4410 4890 5705 6846 7335 7987 10269 11410 14670 15974 17115 20538 23961 34230 39935 47922 51345 71883 79870 102690 119805 143766 191977 239610 359415 383954 575931 718830 959885 1151862 1343839 1727793 1919770 2687678 2879655 3455586 4031517 5759310 6719195 8063034 8638965 9406873 12094551 13438390 17277930 18813746 20157585 24189102 28220619 31292251 40315170 47034365 56441238 60472755 62584502 84661857 93876753 94068730 120945510 141103095 156461255 169323714 187753506 219045757 281630259 282206190 312922510 423309285 438091514 469383765 563260518 657137271 846618570 938767530 1095228785 1314274542 1408151295 1533320299 1971411813 2190457570 2816302590 3066640598 3285686355 3942823626 4599960897 6571372710 7666601495 9199921794 9857059065 13799882691 15333202990 19714118130 22999804485 27599765382 45999608970 68999413455 137998826910