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103750040064 = 293117618069
BaseRepresentation
bin110000010011111111…
…0111111101000000000
3100220210112000010010110
41200213332333220000
53144440002240224
6115355003231320
710332010534626
oct1404776775000
9326715003113
10103750040064
1140000213770
1218135818540
139a25703a68
145043109516
152a73587929
hex1827fbfa00

103750040064 has 160 divisors (see below), whose sum is σ = 301957191360. Its totient is φ = 31394201600.

The previous prime is 103750040063. The next prime is 103750040077. The reversal of 103750040064 is 460040057301.

It is not an unprimeable number, because it can be changed into a prime (103750040063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12853822 + ... + 12861890.

It is an arithmetic number, because the mean of its divisors is an integer number (1887232446).

Almost surely, 2103750040064 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 103750040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150978595680).

103750040064 is an abundant number, since it is smaller than the sum of its proper divisors (198207151296).

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

103750040064 is an equidigital number, since it uses as much as digits as its factorization.

103750040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 103750040064 its reverse (460040057301), we get a palindrome (563790097365).

The spelling of 103750040064 in words is "one hundred three billion, seven hundred fifty million, forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 761 768 1056 1408 1522 1536 2112 2283 2816 3044 4224 4566 5632 6088 8069 8371 8448 9132 12176 16138 16742 16896 18264 24207 24352 25113 32276 33484 36528 48414 48704 50226 64552 66968 73056 88759 96828 97408 100452 129104 133936 146112 177518 193656 194816 200904 258208 266277 267872 292224 355036 387312 389632 401808 516416 532554 535744 584448 710072 774624 803616 1032832 1065108 1071488 1168896 1420144 1549248 1607232 2065664 2130216 2142976 2840288 3098496 3214464 4131328 4260432 4285952 5680576 6140509 6196992 6428928 8520864 11361152 12281018 12393984 12857856 17041728 18421527 22722304 24562036 34083456 36843054 45444608 49124072 67545599 68166912 73686108 98248144 135091198 136333824 147372216 196496288 202636797 270182396 294744432 392992576 405273594 540364792 589488864 785985152 810547188 1080729584 1178977728 1571970304 1621094376 2161459168 2357955456 3143940608 3242188752 4322918336 4715910912 6484377504 8645836672 9431821824 12968755008 17291673344 25937510016 34583346688 51875020032 103750040064