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153052468335 = 325132327674111
BaseRepresentation
bin1000111010001010100…
…0110101010001101111
3112122001111012222020100
42032202220311101233
510001422412441320
6154151125322143
714025532341564
oct2164250652157
9478044188210
10153052468335
1159a00145858
12257b4b66353
1311581aa4740
14759cd3486b
153eaba89790
hex23a2a3546f

153052468335 has 96 divisors (see below), whose sum is σ = 298299875328. Its totient is φ = 72029295360.

The previous prime is 153052468297. The next prime is 153052468391. The reversal of 153052468335 is 533864250351.

153052468335 is a `hidden beast` number, since 1 + 5 + 30 + 524 + 68 + 3 + 35 = 666.

153052468335 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 153052468335 - 29 = 153052467823 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 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 95 ways as a sum of consecutive naturals, for example, 37227930 + ... + 37232040.

It is an arithmetic number, because the mean of its divisors is an integer number (3107290368).

Almost surely, 2153052468335 is an apocalyptic number.

153052468335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153052468335 is a deficient number, since it is larger than the sum of its proper divisors (145247406993).

153052468335 is a wasteful number, since it uses less digits than its factorization.

153052468335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 153052468335 in words is "one hundred fifty-three billion, fifty-two million, four hundred sixty-eight thousand, three hundred thirty-five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 345 585 897 1035 1495 2691 2767 4111 4485 8301 12333 13455 13835 20555 24903 35971 36999 41505 53443 61665 63641 94553 107913 124515 160329 179855 184995 190923 267215 283659 318205 323739 472765 480987 539565 572769 801645 827333 850977 954615 1229189 1418295 1618695 2404935 2481999 2863845 3687567 4136665 4254885 6145945 7445997 11062701 11375137 12409995 18437835 34125411 37229985 55313505 56875685 102376233 147876781 170627055 261628151 443630343 511881165 739383905 784884453 1308140755 1330891029 2218151715 2354653359 3401165963 3924422265 6654455145 10203497889 11773266795 17005829815 30610493667 51017489445 153052468335