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20830662270306 = 23278316631197739
BaseRepresentation
bin1001011110010000001000…
…01110011001110101100010
32201202101120200001222002100
410233020010032121311202
510212242144020122211
6112145250225231230
74246652141562660
oct457100416316542
981671520058070
1020830662270306
116701263885299
122405156792516
13b814278b4505
145202d0983c30
15261cbeec0156
hex12f204399d62

20830662270306 has 96 divisors (see below), whose sum is σ = 52233575546880. Its totient is φ = 5876370921312.

The previous prime is 20830662270289. The next prime is 20830662270317. The reversal of 20830662270306 is 60307226603802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16792785 + ... + 17990523.

It is an arithmetic number, because the mean of its divisors is an integer number (544099745280).

Almost surely, 220830662270306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20830662270306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26116787773440).

20830662270306 is an abundant number, since it is smaller than the sum of its proper divisors (31402913276574).

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

20830662270306 is a wasteful number, since it uses less digits than its factorization.

20830662270306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199500 (or 1199497 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 20830662270306 in words is "twenty trillion, eight hundred thirty billion, six hundred sixty-two million, two hundred seventy thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1663 1743 3326 3486 4989 5229 9978 10458 11641 14967 23282 29934 34923 69846 104769 138029 209538 276058 414087 828174 966203 1197739 1242261 1932406 2395478 2484522 2898609 3593217 5797218 7186434 8384173 8695827 10779651 16768346 17391654 21559302 25152519 50305038 75457557 99412337 150915114 198824674 298237011 596474022 695886359 894711033 1391772718 1789422066 1991839957 2087659077 3983679914 4175318154 5975519871 6262977231 11951039742 12525954462 13942879699 17926559613 27885759398 35853119226 41828639097 83657278194 125485917291 165322716431 250971834582 330645432862 495968149293 991936298586 1157259015017 1487904447879 2314518030034 2975808895758 3471777045051 6943554090102 10415331135153 20830662270306