Search a number
-
+
1816458144 = 253314671307
BaseRepresentation
bin110110001000100…
…1111001110100000
311200120222122010120
41230101033032200
512210003130034
6500125000240
763004432224
oct15421171640
94616878116
101816458144
11852385986
124283b3080
1322c433307
1413335c784
15a9709c49
hex6c44f3a0

1816458144 has 96 divisors (see below), whose sum is σ = 4936329216. Its totient is φ = 584252160.

The previous prime is 1816458103. The next prime is 1816458167. The reversal of 1816458144 is 4418546181.

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

It is a junction number, because it is equal to n+sod(n) for n = 1816458096 and 1816458105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389139 + ... + 1390445.

It is an arithmetic number, because the mean of its divisors is an integer number (51420096).

Almost surely, 21816458144 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 1816458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468164608).

1816458144 is an abundant number, since it is smaller than the sum of its proper divisors (3119871072).

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

1816458144 is a wasteful number, since it uses less digits than its factorization.

1816458144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1810 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 1816458144 is about 42619.9266071635. The cubic root of 1816458144 is about 1220.1366289695.

The spelling of 1816458144 in words is "one billion, eight hundred sixteen million, four hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 467 496 744 934 992 1307 1401 1488 1868 2614 2802 2976 3736 3921 5228 5604 7472 7842 10456 11208 14477 14944 15684 20912 22416 28954 31368 40517 41824 43431 44832 57908 62736 81034 86862 115816 121551 125472 162068 173724 231632 243102 324136 347448 463264 486204 610369 648272 694896 972408 1220738 1296544 1389792 1831107 1944816 2441476 3662214 3889632 4882952 7324428 9765904 14648856 18921439 19531808 29297712 37842878 56764317 58595424 75685756 113528634 151371512 227057268 302743024 454114536 605486048 908229072 1816458144