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6141130837824 = 263259691231663
BaseRepresentation
bin101100101011101011111…
…1011000000111101000000
3210202002022222002221111210
41121113113323000331000
51301104013443302244
621021110242410120
71202452642561563
oct131272773007500
923662288087453
106141130837824
111a58491293804
12832238360940
1335714c2abba8
141733376a64da
15a9b290d24b9
hex595d7ec0f40

6141130837824 has 56 divisors (see below), whose sum is σ = 16249047552640. Its totient is φ = 2046963124224.

The previous prime is 6141130837789. The next prime is 6141130837873. The reversal of 6141130837824 is 4287380311416.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4370217 + ... + 5601879.

It is an arithmetic number, because the mean of its divisors is an integer number (290161563440).

Almost surely, 26141130837824 is an apocalyptic number.

6141130837824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6141130837824 is an abundant number, since it is smaller than the sum of its proper divisors (10107916714816).

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

6141130837824 is a wasteful number, since it uses less digits than its factorization.

6141130837824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257647 (or 1257637 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 6141130837824 in words is "six trillion, one hundred forty-one billion, one hundred thirty million, eight hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 25969 51938 77907 103876 155814 207752 311628 415504 623256 831008 1231663 1246512 1662016 2463326 2493024 3694989 4926652 4986048 7389978 9853304 14779956 19706608 29559912 39413216 59119824 78826432 118239648 236479296 31985056447 63970112894 95955169341 127940225788 191910338682 255880451576 383820677364 511760903152 767641354728 1023521806304 1535282709456 2047043612608 3070565418912 6141130837824