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20418165376 = 277313672003
BaseRepresentation
bin10011000001000001…
…000111101010000000
31221200222101021022021
4103001001013222000
5313304022243001
613214024051224
71321660353640
oct230101075200
957628337267
1020418165376
118728581944
123b5a003b14
131c0520957b
14db9a58520
157e781bba1
hex4c1047a80

20418165376 has 128 divisors (see below), whose sum is σ = 48142172160. Its totient is φ = 8441072640.

The previous prime is 20418165371. The next prime is 20418165431. The reversal of 20418165376 is 67356181402.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20418165371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10192791 + ... + 10194793.

It is an arithmetic number, because the mean of its divisors is an integer number (376110720).

Almost surely, 220418165376 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 20418165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071086080).

20418165376 is an abundant number, since it is smaller than the sum of its proper divisors (27724006784).

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

20418165376 is a wasteful number, since it uses less digits than its factorization.

20418165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 20418165376 in words is "twenty billion, four hundred eighteen million, one hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 367 434 448 496 734 868 896 992 1468 1736 1984 2003 2569 2936 3472 3968 4006 5138 5872 6944 8012 10276 11377 11744 13888 14021 16024 20552 22754 23488 27776 28042 32048 41104 45508 46976 56084 62093 64096 79639 82208 91016 112168 124186 128192 159278 164416 182032 224336 248372 256384 318556 328832 364064 434651 448672 496744 637112 728128 735101 869302 897344 993488 1274224 1456256 1470202 1738604 1794688 1986976 2548448 2940404 3477208 3973952 5096896 5145707 5880808 6954416 7947904 10193792 10291414 11761616 13908832 20582828 22788131 23523232 27817664 41165656 45576262 47046464 55635328 82331312 91152524 94092928 159516917 164662624 182305048 319033834 329325248 364610096 638067668 658650496 729220192 1276135336 1458440384 2552270672 2916880768 5104541344 10209082688 20418165376