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3380248132272 = 2432113719957367
BaseRepresentation
bin110001001100000110011…
…111010011101010110000
3102222011000022012210200100
4301030012133103222300
5420340222010213042
611104510424352400
7466133462023644
oct61140637235260
912864008183610
103380248132272
111093611a47550
12467146315700
131b69aa000b3b
14b9867b24c24
155cddc08724c
hex313067d3ab0

3380248132272 has 120 divisors (see below), whose sum is σ = 10320457305600. Its totient is φ = 1024272224640.

The previous prime is 3380248132243. The next prime is 3380248132279. The reversal of 3380248132272 is 2722318420833.

3380248132272 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 248 + 132 + 272 = 666.

It is a super-2 number, since 2×33802481322722 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380248132279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58894533 + ... + 58951899.

It is an arithmetic number, because the mean of its divisors is an integer number (86003810880).

Almost surely, 23380248132272 is an apocalyptic number.

It is an amenable number.

3380248132272 is an abundant number, since it is smaller than the sum of its proper divisors (6940209173328).

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

3380248132272 is a wasteful number, since it uses less digits than its factorization.

3380248132272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94591 (or 94582 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3380248132272 in words is "three trillion, three hundred eighty billion, two hundred forty-eight million, one hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 37199 57367 74398 111597 114734 148796 172101 223194 229468 297592 334791 344202 409189 446388 458936 516303 595184 631037 669582 688404 818378 892776 917872 1032606 1227567 1262074 1339164 1376808 1636756 1785552 1893111 2065212 2455134 2524148 2678328 2753616 3273512 3682701 3786222 4130424 4910268 5048296 5356656 5679333 6547024 7365402 7572444 8260848 9820536 10096592 11358666 14730804 15144888 19641072 22717332 29461608 30289776 45434664 58923216 90869328 2133995033 4267990066 6401985099 8535980132 12803970198 17071960264 19205955297 23473945363 25607940396 34143920528 38411910594 46947890726 51215880792 70421836089 76823821188 93895781452 102431761584 140843672178 153647642376 187791562904 211265508267 281687344356 307295284752 375583125808 422531016534 563374688712 845062033068 1126749377424 1690124066136 3380248132272