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428265037215 = 3356152005469
BaseRepresentation
bin1100011101101101001…
…01011101110110011111
31111221102112020000212000
412032312211131312133
524004041322142330
6524424154013343
742640543516221
oct6166645356637
91457375200760
10428265037215
111556984a3194
126b001117253
1331501435032
1416a2a024411
15b218064560
hex63b695dd9f

428265037215 has 32 divisors (see below), whose sum is σ = 773841393600. Its totient is φ = 224663621760.

The previous prime is 428265037201. The next prime is 428265037217. The reversal of 428265037215 is 512730562824.

428265037215 is a `hidden beast` number, since 4 + 2 + 8 + 265 + 0 + 372 + 15 = 666.

It is not a de Polignac number, because 428265037215 - 24 = 428265037199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428265037217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25994500 + ... + 26010969.

It is an arithmetic number, because the mean of its divisors is an integer number (24182543550).

Almost surely, 2428265037215 is an apocalyptic number.

428265037215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428265037215 is a deficient number, since it is larger than the sum of its proper divisors (345576356385).

428265037215 is a wasteful number, since it uses less digits than its factorization.

428265037215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52005544 (or 52005538 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 428265037215 in words is "four hundred twenty-eight billion, two hundred sixty-five million, thirty-seven thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 27 45 61 135 183 305 549 915 1647 2745 8235 52005469 156016407 260027345 468049221 780082035 1404147663 2340246105 3172333609 7020738315 9517000827 15861668045 28551002481 47585004135 85653007443 142755012405 428265037215