Search a number
-
+
16377033344 = 27723794693
BaseRepresentation
bin11110100000010010…
…11011001010000000
31120021100021111022112
433100021123022000
5232020010031334
611305024354452
71116560325620
oct172011331200
946240244275
1016377033344
116a44454601
123210775a28
13170cc15c99
14b15078880
1565cb6e4ce
hex3d025b280

16377033344 has 64 divisors (see below), whose sum is σ = 38908218240. Its totient is φ = 6713558016.

The previous prime is 16377033319. The next prime is 16377033349. The reversal of 16377033344 is 44333077361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (16377033349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 376739 + ... + 417954.

It is an arithmetic number, because the mean of its divisors is an integer number (607940910).

Almost surely, 216377033344 is an apocalyptic number.

16377033344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16377033344 is an abundant number, since it is smaller than the sum of its proper divisors (22531184896).

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

16377033344 is an equidigital number, since it uses as much as digits as its factorization.

16377033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794737 (or 794725 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 41.

The spelling of 16377033344 in words is "sixteen billion, three hundred seventy-seven million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 794693 1589386 3178772 5562851 6357544 11125702 12715088 18277939 22251404 25430176 36555878 44502808 50860352 73111756 89005616 101720704 127945573 146223512 178011232 255891146 292447024 356022464 511782292 584894048 712044928 1023564584 1169788096 2047129168 2339576192 4094258336 8188516672 16377033344