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41542796220 = 22354379203821
BaseRepresentation
bin100110101100001001…
…001100001110111100
310222020012002201001020
4212230021030032330
51140034423434340
631030130144140
73000316640652
oct465411141674
9128205081036
1041542796220
1116688909742
128074722050
133bc08aa033
142021450dd2
1511321869d0
hex9ac24c3bc

41542796220 has 96 divisors (see below), whose sum is σ = 120532177920. Its totient is φ = 10683429120.

The previous prime is 41542796203. The next prime is 41542796227. The reversal of 41542796220 is 2269724514.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41542796227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101910 + ... + 305730.

It is an arithmetic number, because the mean of its divisors is an integer number (1255543520).

Almost surely, 241542796220 is an apocalyptic number.

It is a pronic number, being equal to 203820×203821.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41542796220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60266088960).

41542796220 is an abundant number, since it is smaller than the sum of its proper divisors (78989381700).

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

41542796220 is a wasteful number, since it uses less digits than its factorization.

41542796220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203955 (or 203953 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 41542796220 in words is "forty-one billion, five hundred forty-two million, seven hundred ninety-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 79 86 129 158 172 215 237 258 316 395 430 474 516 645 790 860 948 1185 1290 1580 2370 2580 3397 4740 6794 10191 13588 16985 20382 33970 40764 50955 67940 101910 203820 203821 407642 611463 815284 1019105 1222926 2038210 2445852 3057315 4076420 6114630 8764303 12229260 16101859 17528606 26292909 32203718 35057212 43821515 48305577 52585818 64407436 80509295 87643030 96611154 105171636 131464545 161018590 175286060 193222308 241527885 262929090 322037180 483055770 525858180 692379937 966111540 1384759874 2077139811 2769519748 3461899685 4154279622 6923799370 8308559244 10385699055 13847598740 20771398110 41542796220