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6145961317968 = 243432977694437
BaseRepresentation
bin101100101101111011111…
…0101110101011001010000
3210202112210121111202112210
41121123313311311121100
51301143412044133333
621023225440352120
71203013436150223
oct131336765653120
923675717452483
106145961317968
111a5a53aa36a5a
12833166015640
1335773bc95b74
1417367503b5ba
15a9d0d200a63
hex596f7d75650

6145961317968 has 40 divisors (see below), whose sum is σ = 16246300853728. Its totient is φ = 2001010660992.

The previous prime is 6145961317961. The next prime is 6145961317999. The reversal of 6145961317968 is 8697131695416.

It is a junction number, because it is equal to n+sod(n) for n = 6145961317899 and 6145961317908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145961317961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1488845155 + ... + 1488849282.

Almost surely, 26145961317968 is an apocalyptic number.

It is an amenable number.

6145961317968 is an abundant number, since it is smaller than the sum of its proper divisors (10100339535760).

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

6145961317968 is a wasteful number, since it uses less digits than its factorization.

6145961317968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977694491 (or 2977694485 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The spelling of 6145961317968 in words is "six trillion, one hundred forty-five billion, nine hundred sixty-one million, three hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 2977694437 5955388874 8933083311 11910777748 17866166622 23821555496 35732333244 47643110992 71464666488 128040860791 142929332976 256081721582 384122582373 512163443164 768245164746 1024326886328 1536490329492 2048653772656 3072980658984 6145961317968