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20376460216 = 2377311034519
BaseRepresentation
bin10010111110100010…
…000001101110111000
31221121001220102120201
4102332202001232320
5313212333211331
613205534131544
71320643024360
oct227642015670
957531812521
1020376460216
118706a87172
123b48050bb4
131bc9696868
14db42bd9a0
157e3d2ea61
hex4be881bb8

20376460216 has 64 divisors (see below), whose sum is σ = 44311910400. Its totient is φ = 8603428608.

The previous prime is 20376460213. The next prime is 20376460249. The reversal of 20376460216 is 61206467302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20376460213) 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 15 ways as a sum of consecutive naturals, for example, 4506805 + ... + 4511323.

It is an arithmetic number, because the mean of its divisors is an integer number (692373600).

Almost surely, 220376460216 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 20376460216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22155955200).

20376460216 is an abundant number, since it is smaller than the sum of its proper divisors (23935450184).

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

20376460216 is a wasteful number, since it uses less digits than its factorization.

20376460216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 20376460216 in words is "twenty billion, three hundred seventy-six million, four hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 1103 2044 2206 4088 4412 4519 7721 8824 9038 15442 18076 30884 31633 36152 61768 63266 80519 126532 161038 253064 322076 329887 563633 644152 659774 1127266 1319548 2254532 2309209 2639096 4509064 4618418 4984457 9236836 9968914 18473672 19937828 34891199 39875656 69782398 139564796 279129592 363865361 727730722 1455461444 2547057527 2910922888 5094115054 10188230108 20376460216