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68187832384 = 267246632
BaseRepresentation
bin111111100000010011…
…111100000001000000
320112000010102210020111
4333200103330001000
52104122041114014
651154113521104
74632521004100
oct774023740100
9215003383214
1068187832384
1126a11287791
121126bb73194
136578b87219
14342c093200
151b914a22c4
hexfe04fc040

68187832384 has 63 divisors (see below), whose sum is σ = 157435458687. Its totient is φ = 29217089664.

The previous prime is 68187832379. The next prime is 68187832387. The reversal of 68187832384 is 48323878186.

The square root of 68187832384 is 261128.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68187832387) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14620837 + ... + 14625499.

Almost surely, 268187832384 is an apocalyptic number.

68187832384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68187832384 is the 261128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68187832384

68187832384 is an abundant number, since it is smaller than the sum of its proper divisors (89247626303).

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

68187832384 is an frugal number, since it uses more digits than its factorization.

68187832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9352 (or 4672 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 58.

The spelling of 68187832384 in words is "sixty-eight billion, one hundred eighty-seven million, eight hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4663 9326 18652 32641 37304 65282 74608 130564 149216 228487 261128 298432 456974 522256 913948 1044512 1827896 2089024 3655792 7311584 14623168 21743569 43487138 86974276 152204983 173948552 304409966 347897104 608819932 695794208 1065434881 1217639864 1391588416 2130869762 2435279728 4261739524 4870559456 8523479048 9741118912 17046958096 34093916192 68187832384