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10952041104 = 2438172192
BaseRepresentation
bin10100011001100101…
…01110001010010000
31001021021012100000000
422030302232022100
5134412210303404
65010432130000
7535254545664
oct121462561220
931237170000
1010952041104
114710161644
122157996900
1310570052c4
1475c7888a4
15441769339
hex28ccae290

10952041104 has 405 divisors, whose sum is σ = 35683239657. Its totient is φ = 3255095808.

The previous prime is 10952041099. The next prime is 10952041109. The reversal of 10952041104 is 40114025901.

The square root of 10952041104 is 104652.

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 (10952041099) and next prime (10952041109).

It can be written as a sum of positive squares in only one way, i.e., 8526675600 + 2425365504 = 92340^2 + 49248^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10952041109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 576423207 + ... + 576423225.

Almost surely, 210952041104 is an apocalyptic number.

10952041104 is the 104652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10952041104

10952041104 is an abundant number, since it is smaller than the sum of its proper divisors (24731198553).

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

10952041104 is an frugal number, since it uses more digits than its factorization.

10952041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10952041104 in words is "ten billion, nine hundred fifty-two million, forty-one thousand, one hundred four".