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41664943120 = 2454998291259
BaseRepresentation
bin100110110011011011…
…001001010000010000
310222112200221102002111
4212303123021100100
51140312211134440
631050212155104
73003332113243
oct466333112020
9128480842074
1041664943120
1116740857499
1280a9608a94
133c0cca61c8
14203376925a
15113cc634ea
hex9b36c9410

41664943120 has 80 divisors (see below), whose sum is σ = 97259400000. Its totient is φ = 16599320064.

The previous prime is 41664943109. The next prime is 41664943129. The reversal of 41664943120 is 2134946614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41664943129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33093051 + ... + 33094309.

It is an arithmetic number, because the mean of its divisors is an integer number (1215742500).

Almost surely, 241664943120 is an apocalyptic number.

41664943120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41664943120 is an abundant number, since it is smaller than the sum of its proper divisors (55594456880).

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

41664943120 is a wasteful number, since it uses less digits than its factorization.

41664943120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

It can be divided in two parts, 4166494 and 3120, that added together give a palindrome (4169614).

The spelling of 41664943120 in words is "forty-one billion, six hundred sixty-four million, nine hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 499 829 998 1259 1658 1996 2495 2518 3316 3992 4145 4990 5036 6295 6632 7984 8290 9980 10072 12590 13264 16580 19960 20144 25180 33160 39920 50360 66320 100720 413671 628241 827342 1043711 1256482 1654684 2068355 2087422 2512964 3141205 3309368 4136710 4174844 5025928 5218555 6282410 6618736 8273420 8349688 10051856 10437110 12564820 16546840 16699376 20874220 25129640 33093680 41748440 50259280 83496880 520811789 1041623578 2083247156 2604058945 4166494312 5208117890 8332988624 10416235780 20832471560 41664943120