Search a number
-
+
68491072416 = 25313461119047
BaseRepresentation
bin111111110010011000…
…101101001110100000
320112210021000222100210
4333302120231032200
52110232203304131
651244145214120
74643162336604
oct776230551640
9215707028323
1068491072416
1127057474488
1211335631340
1365c694a9b0
14345a46b504
151bace01146
hexff262d3a0

68491072416 has 96 divisors (see below), whose sum is σ = 194040620928. Its totient is φ = 21028285440.

The previous prime is 68491072409. The next prime is 68491072459. The reversal of 68491072416 is 61427019486.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 515805 + ... + 634851.

It is an arithmetic number, because the mean of its divisors is an integer number (2021256468).

Almost surely, 268491072416 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 68491072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97020310464).

68491072416 is an abundant number, since it is smaller than the sum of its proper divisors (125549548512).

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

68491072416 is a wasteful number, since it uses less digits than its factorization.

68491072416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119534 (or 119526 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 68491072416 in words is "sixty-eight billion, four hundred ninety-one million, seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 461 624 922 1248 1383 1844 2766 3688 5532 5993 7376 11064 11986 14752 17979 22128 23972 35958 44256 47944 71916 95888 119047 143832 191776 238094 287664 357141 476188 575328 714282 952376 1428564 1547611 1904752 2857128 3095222 3809504 4642833 5714256 6190444 9285666 11428512 12380888 18571332 24761776 37142664 49523552 54880667 74285328 109761334 148570656 164642001 219522668 329284002 439045336 658568004 713448671 878090672 1317136008 1426897342 1756181344 2140346013 2634272016 2853794684 4280692026 5268544032 5707589368 8561384052 11415178736 17122768104 22830357472 34245536208 68491072416