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16076370336 = 2531380915923
BaseRepresentation
bin11101111100011100…
…11111000110100000
31112111101112020012120
432332032133012200
5230411022322321
611215124224240
71106246615235
oct167616370640
945441466176
1016076370336
1168aa767a84
123147b3b080
131692845490
14ac717178c
1564157dec6
hex3be39f1a0

16076370336 has 96 divisors (see below), whose sum is σ = 45505696320. Its totient is φ = 4940150784.

The previous prime is 16076370319. The next prime is 16076370337. The reversal of 16076370336 is 63307367061.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (16076370337) 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, 1001671 + ... + 1017593.

It is an arithmetic number, because the mean of its divisors is an integer number (474017670).

Almost surely, 216076370336 is an apocalyptic number.

16076370336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16076370336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752848160).

16076370336 is an abundant number, since it is smaller than the sum of its proper divisors (29429325984).

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

16076370336 is a wasteful number, since it uses less digits than its factorization.

16076370336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16758 (or 16750 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The spelling of 16076370336 in words is "sixteen billion, seventy-six million, three hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 809 1248 1618 2427 3236 4854 6472 9708 10517 12944 15923 19416 21034 25888 31551 31846 38832 42068 47769 63102 63692 77664 84136 95538 126204 127384 168272 191076 206999 252408 254768 336544 382152 413998 504816 509536 620997 764304 827996 1009632 1241994 1528608 1655992 2483988 3311984 4967976 6623968 9935952 12881707 19871904 25763414 38645121 51526828 77290242 103053656 154580484 167462191 206107312 309160968 334924382 412214624 502386573 618321936 669848764 1004773146 1236643872 1339697528 2009546292 2679395056 4019092584 5358790112 8038185168 16076370336