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68726816964 = 223213233612
BaseRepresentation
bin100000000000001110…
…0000000000011000100
320120101200122001002100
41000000130000003010
52111223031120324
651323410112100
74652054206521
oct1000034000304
9216350561070
1068726816964
1127168550893
12113a057b630
13663373b900
14347d8b6148
151bc396b4c9
hex10007000c4

68726816964 has 81 divisors (see below), whose sum is σ = 188173620999. Its totient is φ = 21140421120.

The previous prime is 68726816959. The next prime is 68726816969. The reversal of 68726816964 is 46961862786.

The square root of 68726816964 is 262158.

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

It is an interprime number because it is at equal distance from previous prime (68726816959) and next prime (68726816969).

It can be written as a sum of positive squares in 4 ways, for example, as 1130976900 + 67595840064 = 33630^2 + 259992^2 .

It is not an unprimeable number, because it can be changed into a prime (68726816969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20446644 + ... + 20450004.

Almost surely, 268726816964 is an apocalyptic number.

68726816964 is the 262158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68726816964

68726816964 is an abundant number, since it is smaller than the sum of its proper divisors (119446804035).

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

68726816964 is a wasteful number, since it uses less digits than its factorization.

68726816964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 3379 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 68726816964 in words is "sixty-eight billion, seven hundred twenty-six million, eight hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 3361 6084 6722 10083 13444 20166 30249 40332 43693 60498 87386 120996 131079 174772 262158 393237 524316 568009 786474 1136018 1572948 1704027 2272036 3408054 5112081 6816108 10224162 11296321 20448324 22592642 33888963 45185284 67777926 101666889 135555852 146852173 203333778 293704346 406667556 440556519 587408692 881113038 1321669557 1762226076 1909078249 2643339114 3818156498 5286678228 5727234747 7636312996 11454469494 17181704241 22908938988 34363408482 68726816964