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42195434176220 = 22513896312889833
BaseRepresentation
bin10011001100000011000111…
…10111010111111011011100
312112101211210100122200000112
421212001203313113323130
521012312222122114340
6225424152001545152
711613343123454153
oct1146014367277334
9175354710580015
1042195434176220
1112498a8a618076
1248959116451b8
131a71021238810
14a5c3ac8c859a
154d29003cc065
hex266063dd7edc

42195434176220 has 96 divisors (see below), whose sum is σ = 96651769656960. Its totient is φ = 15380379463680.

The previous prime is 42195434176213. The next prime is 42195434176223. The reversal of 42195434176220 is 2267143459124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42195434176223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13156424 + ... + 16046256.

It is an arithmetic number, because the mean of its divisors is an integer number (1006789267260).

Almost surely, 242195434176220 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 42195434176220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48325884828480).

42195434176220 is an abundant number, since it is smaller than the sum of its proper divisors (54456335480740).

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

42195434176220 is a wasteful number, since it uses less digits than its factorization.

42195434176220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890575 (or 2890573 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 42195434176220 in words is "forty-two trillion, one hundred ninety-five billion, four hundred thirty-four million, one hundred seventy-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 631 890 1157 1262 1780 2314 2524 3155 4628 5785 6310 8203 11570 12620 16406 23140 32812 41015 56159 82030 112318 164060 224636 280795 561590 730067 1123180 1460134 2889833 2920268 3650335 5779666 7300670 11559332 14449165 14601340 28898330 37567829 57796660 75135658 150271316 187839145 257195137 375678290 514390274 751356580 1028780548 1285975685 1823484623 2571951370 3343536781 3646969246 5143902740 6687073562 7293938492 9117423115 13374147124 16717683905 18234846230 23705300099 33435367810 36469692460 47410600198 66870735620 94821200396 118526500495 162290131447 237053000990 324580262894 474106001980 649160525788 811450657235 1622901314470 2109771708811 3245802628940 4219543417622 8439086835244 10548858544055 21097717088110 42195434176220