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2147346437412 = 22311219163477523
BaseRepresentation
bin11111001111110111110…
…100100101010100100100
321121021200021011102021210
4133033313310211110210
5240140231141444122
64322251034311420
7311066150362161
oct37176764452444
97537607142253
102147346437412
117587590a0100
122a8205b88570
13127656138a47
1475d09a59068
153accdb4b40c
hex1f3f7d25524

2147346437412 has 144 divisors (see below), whose sum is σ = 5832821953280. Its totient is φ = 612679826880.

The previous prime is 2147346437387. The next prime is 2147346437413.

It is a happy number.

2147346437412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21473464374122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2147346437413) 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, 4258083 + ... + 4735605.

Almost surely, 22147346437412 is an apocalyptic number.

2147346437412 is a gapful number since it is divisible by the number (22) 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 2147346437412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916410976640).

2147346437412 is an abundant number, since it is smaller than the sum of its proper divisors (3685475515868).

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

2147346437412 is a wasteful number, since it uses less digits than its factorization.

2147346437412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477734 (or 477721 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 48.

The spelling of 2147346437412 in words is "two trillion, one hundred forty-seven billion, three hundred forty-six million, four hundred thirty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 163 209 228 242 326 363 418 484 489 627 652 726 836 978 1254 1452 1793 1956 2299 2508 3097 3586 4598 5379 6194 6897 7172 9196 9291 10758 12388 13794 18582 19723 21516 27588 34067 37164 39446 59169 68134 78892 102201 118338 136268 204402 236676 374737 408804 477523 749474 955046 1124211 1432569 1498948 1910092 2248422 2865138 4496844 5252753 5730276 9072937 10505506 15758259 18145874 21011012 27218811 31516518 36291748 54437622 57780283 63033036 77836249 99802307 108875244 115560566 155672498 173340849 199604614 231121132 233508747 299406921 311344996 346681698 399209228 467017494 598813842 693363396 856198739 934034988 1097825377 1197627684 1478888731 1712397478 2195650754 2568596217 2957777462 3293476131 3424794956 4391301508 4436666193 5137192434 5915554924 6586952262 8873332386 9418186129 10274384868 13173904524 16267776041 17746664772 18836372258 28254558387 32535552082 37672744516 48803328123 56509116774 65071104164 97606656246 113018233548 178945536451 195213312492 357891072902 536836609353 715782145804 1073673218706 2147346437412