Search a number
-
+
18742339968 = 273115383719
BaseRepresentation
bin10001011101001000…
…010110100110000000
31210101012000112000120
4101131020112212000
5301341014334333
612335441220240
71232311155402
oct213510264600
953335015016
1018742339968
117a48620470
123770931680
1319c8c755c1
14c9b266b72
1574a640db3
hex45d216980

18742339968 has 128 divisors (see below), whose sum is σ = 55335571200. Its totient is φ = 5572270080.

The previous prime is 18742339943. The next prime is 18742339991. The reversal of 18742339968 is 86993324781.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 182013 + ... + 265731.

It is an arithmetic number, because the mean of its divisors is an integer number (432309150).

Almost surely, 218742339968 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 18742339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667785600).

18742339968 is an abundant number, since it is smaller than the sum of its proper divisors (36593231232).

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

18742339968 is a wasteful number, since it uses less digits than its factorization.

18742339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83800 (or 83788 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The spelling of 18742339968 in words is "eighteen billion, seven hundred forty-two million, three hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 264 318 352 384 424 528 583 636 704 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 3392 3498 4224 4664 5088 6784 6996 9328 10176 13992 18656 20352 27984 37312 55968 74624 83719 111936 167438 223872 251157 334876 502314 669752 920909 1004628 1339504 1841818 2009256 2679008 2762727 3683636 4018512 4437107 5358016 5525454 7367272 8037024 8874214 10716032 11050908 13311321 14734544 16074048 17748428 22101816 26622642 29469088 32148096 35496856 44203632 48808177 53245284 58938176 70993712 88407264 97616354 106490568 117876352 141987424 146424531 176814528 195232708 212981136 283974848 292849062 353629056 390465416 425962272 567949696 585698124 780930832 851924544 1171396248 1561861664 1703849088 2342792496 3123723328 4685584992 6247446656 9371169984 18742339968