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151245454400 = 265294528409
BaseRepresentation
bin1000110011011011101…
…1100111110001000000
3112110101120000011010022
42030312323213301000
54434222314020100
6153251534553012
713633001102435
oct2146673476100
9473346004108
10151245454400
1159163130507
122538b968768
13113545ca021
14746ad53b8c
153e030e7e85
hex2336ee7c40

151245454400 has 42 divisors (see below), whose sum is σ = 372158350170. Its totient is φ = 60498181120.

The previous prime is 151245454363. The next prime is 151245454469. The reversal of 151245454400 is 4454542151.

151245454400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1470262336 + 149775192064 = 38344^2 + 387008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47262605 + ... + 47265804.

Almost surely, 2151245454400 is an apocalyptic number.

151245454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151245454400 is an abundant number, since it is smaller than the sum of its proper divisors (220912895770).

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

151245454400 is an equidigital number, since it uses as much as digits as its factorization.

151245454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94528431 (or 94528416 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 151245454400 its reverse (4454542151), we get a palindrome (155699996551).

The spelling of 151245454400 in words is "one hundred fifty-one billion, two hundred forty-five million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 94528409 189056818 378113636 472642045 756227272 945284090 1512454544 1890568180 2363210225 3024909088 3781136360 4726420450 6049818176 7562272720 9452840900 15124545440 18905681800 30249090880 37811363600 75622727200 151245454400