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141628685604760 = 23527787714575111
BaseRepresentation
bin100000001100111101111111…
…011111101101011110011000
3200120110120101121112201122101
4200030331333133231132120
5122030421022003323020
61221115153035533144
741555222600354644
oct4014757737553630
9616416347481571
10141628685604760
114114442a854102
1213a747082ba1b4
1361046b25c3563
1426d8c17635c24
15115914911400a
hex80cf7f7ed798

141628685604760 has 64 divisors (see below), whose sum is σ = 320179647366720. Its totient is φ = 56382588725760.

The previous prime is 141628685604719. The next prime is 141628685604767. The reversal of 141628685604760 is 67406586826141.

It is a super-2 number, since 2×1416286856047602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141628685604692 and 141628685604701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141628685604767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2429605 + ... + 17004715.

It is an arithmetic number, because the mean of its divisors is an integer number (5002806990105).

Almost surely, 2141628685604760 is an apocalyptic number.

141628685604760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141628685604760 is an abundant number, since it is smaller than the sum of its proper divisors (178550961761960).

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

141628685604760 is a wasteful number, since it uses less digits than its factorization.

141628685604760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14576276 (or 14576272 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 141628685604760 in words is "one hundred forty-one trillion, six hundred twenty-eight billion, six hundred eighty-five million, six hundred four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 277 554 877 1108 1385 1754 2216 2770 3508 4385 5540 7016 8770 11080 17540 35080 242929 485858 971716 1214645 1943432 2429290 4858580 9717160 14575111 29150222 58300444 72875555 116600888 145751110 291502220 583004440 4037305747 8074611494 12782372347 16149222988 20186528735 25564744694 32298445976 40373057470 51129489388 63911861735 80746114940 102258978776 127823723470 161492229880 255647446940 511294893880 3540717140119 7081434280238 14162868560476 17703585700595 28325737120952 35407171401190 70814342802380 141628685604760