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41819316816 = 24322917872129
BaseRepresentation
bin100110111100101000…
…000010001001010000
310222221110102101222210
4212330220002021100
51141121221114231
631113405032120
73010215220314
oct467450021120
9128843371883
1041819316816
111680aa06762
128131255640
133c35c76aa4
14204a071b44
15114b5a8a46
hex9bca02250

41819316816 has 80 divisors (see below), whose sum is σ = 108616708800. Its totient is φ = 13864617984.

The previous prime is 41819316797. The next prime is 41819316827. The reversal of 41819316816 is 61861391814.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19641640 + ... + 19643768.

It is an arithmetic number, because the mean of its divisors is an integer number (1357708860).

Almost surely, 241819316816 is an apocalyptic number.

It is an amenable number.

41819316816 is an abundant number, since it is smaller than the sum of its proper divisors (66797391984).

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

41819316816 is a wasteful number, since it uses less digits than its factorization.

41819316816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4150 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The spelling of 41819316816 in words is "forty-one billion, eight hundred nineteen million, three hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1787 1832 2129 2748 3574 3664 4258 5361 5496 6387 7148 8516 10722 10992 12774 14296 17032 21444 25548 28592 34064 42888 51096 85776 102192 409223 487541 818446 975082 1227669 1462623 1636892 1950164 2455338 2925246 3273784 3804523 3900328 4910676 5850492 6547568 7609046 7800656 9821352 11413569 11700984 15218092 19642704 22827138 23401968 30436184 45654276 60872368 91308552 182617104 871235767 1742471534 2613707301 3484943068 5227414602 6969886136 10454829204 13939772272 20909658408 41819316816