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2041964793150 = 2352151286131511
BaseRepresentation
bin11101101101101110100…
…101100000110100111110
321020012200001000012222020
4131231232211200310332
5231423420441340100
64202022104101010
7300345535234542
oct35555645406476
97205601005866
102041964793150
11717aa098a017
1228b8b5a64766
1311a7306b5019
1470b8dd8da22
15381b22205a0
hex1db6e960d3e

2041964793150 has 96 divisors (see below), whose sum is σ = 5099553179136. Its totient is φ = 540711600000.

The previous prime is 2041964793137. The next prime is 2041964793191. The reversal of 2041964793150 is 513974691402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2041964793093 and 2041964793102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64785895 + ... + 64817405.

It is an arithmetic number, because the mean of its divisors is an integer number (53120345616).

Almost surely, 22041964793150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041964793150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549776589568).

2041964793150 is an abundant number, since it is smaller than the sum of its proper divisors (3057588385986).

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

2041964793150 is a wasteful number, since it uses less digits than its factorization.

2041964793150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34538 (or 34533 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 2041964793150 in words is "two trillion, forty-one billion, nine hundred sixty-four million, seven hundred ninety-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 151 302 453 755 906 1510 2265 2861 3775 4530 5722 7550 8583 11325 14305 17166 22650 28610 31511 42915 63022 71525 85830 94533 143050 157555 189066 214575 315110 429150 432011 472665 787775 864022 945330 1296033 1575550 2160055 2363325 2592066 4320110 4726650 4758161 6480165 9516322 10800275 12960330 14274483 21600550 23790805 28548966 32400825 47581610 64801650 71372415 90152971 118954025 142744830 180305942 237908050 270458913 356862075 450764855 540917826 713724150 901529710 1352294565 2253824275 2704589130 4507648550 6761472825 13522945650 13613098621 27226197242 40839295863 68065493105 81678591726 136130986210 204196479315 340327465525 408392958630 680654931050 1020982396575 2041964793150