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4076146567276 = 227472647310181
BaseRepresentation
bin111011010100001101010…
…001001010100001101100
3112102200020122220002222121
4323110031101022201230
51013240422010123101
612400320023122324
7600330466103020
oct73241521124154
915380218802877
104076146567276
111331758521703
12559b992a33a4
132374c07a8434
141014023d8380
157106b0060a1
hex3b50d44a86c

4076146567276 has 72 divisors (see below), whose sum is σ = 8331541729056. Its totient is φ = 1709319402240.

The previous prime is 4076146567267. The next prime is 4076146567301. The reversal of 4076146567276 is 6727656416704.

It is a super-2 number, since 2×40761465672762 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400362906 + ... + 400373086.

It is an arithmetic number, because the mean of its divisors is an integer number (115715857348).

Almost surely, 24076146567276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076146567276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165770864528).

4076146567276 is an abundant number, since it is smaller than the sum of its proper divisors (4255395161780).

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

4076146567276 is a wasteful number, since it uses less digits than its factorization.

4076146567276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 61.

The spelling of 4076146567276 in words is "four trillion, seventy-six billion, one hundred forty-six million, five hundred sixty-seven thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 2209 4418 6473 8836 10181 12946 15463 20362 25892 30926 40724 45311 61852 71267 90622 142534 181244 285068 304231 478507 608462 957014 1216924 1914028 2129617 3349549 4259234 6699098 8518468 13398196 14298857 22489829 28597714 44979658 57195428 65901613 89959316 100091999 131803226 157428803 200183998 263606452 314857606 400367996 461311291 629715212 922622582 1845245164 3097375811 6194751622 12389503244 21681630677 43363261354 86726522708 145576663117 291153326234 582306652468 1019036641819 2038073283638 4076146567276