Search a number
-
+
54236781696 = 273163866513
BaseRepresentation
bin110010100000110000…
…111001110010000000
312011222212001222111110
4302200300321302000
51342034104003241
640525510243320
73630016015656
oct624060716200
9164885058443
1054236781696
1121002281929
12a617956540
135164756446
1428a72bcdd6
1516267dc816
hexca0c39c80

54236781696 has 64 divisors (see below), whose sum is σ = 144950461920. Its totient is φ = 17967992832.

The previous prime is 54236781661. The next prime is 54236781707. The reversal of 54236781696 is 69618763245.

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

It is a super-3 number, since 3×542367816963 (a number of 33 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 370665 + ... + 495848.

Almost surely, 254236781696 is an apocalyptic number.

It is an amenable number.

54236781696 is an abundant number, since it is smaller than the sum of its proper divisors (90713680224).

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

54236781696 is a wasteful number, since it uses less digits than its factorization.

54236781696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866693 (or 866681 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 54236781696 in words is "fifty-four billion, two hundred thirty-six million, seven hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 326 384 489 652 978 1304 1956 2608 3912 5216 7824 10432 15648 20864 31296 62592 866513 1733026 2599539 3466052 5199078 6932104 10398156 13864208 20796312 27728416 41592624 55456832 83185248 110913664 141241619 166370496 282483238 332740992 423724857 564966476 847449714 1129932952 1694899428 2259865904 3389798856 4519731808 6779597712 9039463616 13559195424 18078927232 27118390848 54236781696