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104442726976 = 26722921992
BaseRepresentation
bin110000101000101000…
…1011000101001000000
3100222120210102020221021
41201101101120221000
53202344314230401
6115551430035224
710355121350200
oct1412121305100
9328523366837
10104442726976
1140326218695
12182a97a8b14
139b06082583
1450ab0dc400
152ab42b32a1
hex1851458a40

104442726976 has 189 divisors, whose sum is σ = 250952031369. Its totient is φ = 43000505856.

The previous prime is 104442726953. The next prime is 104442726977. The reversal of 104442726976 is 679627244401.

The square root of 104442726976 is 323176.

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

It can be written as a sum of positive squares in only one way, i.e., 54767232576 + 49675494400 = 234024^2 + 222880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104442726977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 524837725 + ... + 524837923.

Almost surely, 2104442726976 is an apocalyptic number.

104442726976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104442726976 is the 323176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104442726976

104442726976 is an abundant number, since it is smaller than the sum of its proper divisors (146509304393).

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

104442726976 is an frugal number, since it uses more digits than its factorization.

104442726976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 104442726976 in words is "one hundred four billion, four hundred forty-two million, seven hundred twenty-six thousand, nine hundred seventy-six".