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153285484131 = 3313297346321
BaseRepresentation
bin1000111011000010000…
…1101101111001100011
3112122122201200101211000
42032300201231321203
510002412040443011
6154230211523043
714034362055123
oct2166041557143
9478581611730
10153285484131
115a00a728a9a
122585abb9483
13115bb14b600
1475c1c6cc83
153ec2266356
hex23b086de63

153285484131 has 48 divisors (see below), whose sum is σ = 248437549920. Its totient is φ = 93356789760.

The previous prime is 153285484103. The next prime is 153285484133. The reversal of 153285484131 is 131484582351.

153285484131 is a `hidden beast` number, since 1 + 5 + 32 + 8 + 5 + 484 + 131 = 666.

153285484131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153285484131 - 210 = 153285483107 is a prime.

It is a super-2 number, since 2×1532854841312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153285484133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 269451 + ... + 615771.

It is an arithmetic number, because the mean of its divisors is an integer number (5175782290).

Almost surely, 2153285484131 is an apocalyptic number.

153285484131 is a deficient number, since it is larger than the sum of its proper divisors (95152065789).

153285484131 is a wasteful number, since it uses less digits than its factorization.

153285484131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346453 (or 346434 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 153285484131 in words is "one hundred fifty-three billion, two hundred eighty-five million, four hundred eighty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 97 117 169 291 351 507 873 1261 1521 2619 3783 4563 11349 16393 34047 49179 147537 346321 442611 1038963 3116889 4502173 9350667 13506519 33593137 40519557 58528249 100779411 121558671 175584747 302338233 436710781 526754241 907014699 1310132343 1580262723 3930397029 5677240153 11791191087 17031720459 51095161377 153285484131