Search a number
-
+
2905233426540 = 223452576978031
BaseRepresentation
bin101010010001101101011…
…010000000100001101100
3101021201220201020112210000
4222101231122000201230
5340044404224122130
610102351254544300
7416616251446644
oct52215532004154
911251821215700
102905233426540
11a20114591485
123ab078968090
13180c6833ab73
14a0884d3b524
1550889bbe260
hex2a46d68086c

2905233426540 has 120 divisors (see below), whose sum is σ = 9149288524992. Its totient is φ = 771714293760.

The previous prime is 2905233426539. The next prime is 2905233426541. The reversal of 2905233426540 is 456243325092.

2905233426540 is a `hidden beast` number, since 2 + 9 + 0 + 52 + 3 + 34 + 26 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (2905233426539) and next prime (2905233426541).

It is a super-3 number, since 3×29052334265403 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2905233426541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3072676 + ... + 3905355.

Almost surely, 22905233426540 is an apocalyptic number.

2905233426540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2905233426540 is an abundant number, since it is smaller than the sum of its proper divisors (6244055098452).

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

2905233426540 is a wasteful number, since it uses less digits than its factorization.

2905233426540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978309 (or 6978298 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2905233426540 in words is "two trillion, nine hundred five billion, two hundred thirty-three million, four hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 257 270 324 405 514 540 771 810 1028 1285 1542 1620 2313 2570 3084 3855 4626 5140 6939 7710 9252 11565 13878 15420 20817 23130 27756 34695 41634 46260 69390 83268 104085 138780 208170 416340 6978031 13956062 20934093 27912124 34890155 41868186 62802279 69780310 83736372 104670465 125604558 139560620 188406837 209340930 251209116 314011395 376813674 418681860 565220511 628022790 753627348 942034185 1130441022 1256045580 1793353967 1884068370 2260882044 2826102555 3586707934 3768136740 5380061901 5652205110 7173415868 8966769835 10760123802 11304410220 16140185703 17933539670 21520247604 26900309505 32280371406 35867079340 48420557109 53800619010 64560742812 80700928515 96841114218 107601238020 145261671327 161401857030 193682228436 242102785545 290523342654 322803714060 484205571090 581046685308 726308356635 968411142180 1452616713270 2905233426540