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68209120544 = 2561145324049
BaseRepresentation
bin111111100001100101…
…001001010100100000
320112001121111100002212
4333201211021110200
52104143013324134
651200154101252
74633166646515
oct774145112440
9215047440085
1068209120544
1126a222a7904
121127711a828
1365803cba76
143430c3530c
151b932a9bce
hexfe1949520

68209120544 has 48 divisors (see below), whose sum is σ = 136587742200. Its totient is φ = 33520988160.

The previous prime is 68209120493. The next prime is 68209120559. The reversal of 68209120544 is 44502190286.

It can be written as a sum of positive squares in 4 ways, for example, as 58569808144 + 9639312400 = 242012^2 + 98180^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2824232 + ... + 2848280.

Almost surely, 268209120544 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 68209120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68293871100).

68209120544 is an abundant number, since it is smaller than the sum of its proper divisors (68378621656).

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

68209120544 is a wasteful number, since it uses less digits than its factorization.

68209120544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25573 (or 25565 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 68209120544 in words is "sixty-eight billion, two hundred nine million, one hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1453 1952 2906 5812 11624 23248 24049 46496 48098 88633 96196 177266 192392 354532 384784 709064 769568 1418128 1466989 2836256 2933978 5867956 11735912 23471824 34943197 46943648 69886394 139772788 279545576 559091152 1118182304 2131535017 4263070034 8526140068 17052280136 34104560272 68209120544