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152021404215 = 32531251434167
BaseRepresentation
bin1000110110010100101…
…1101000101000110111
3112112101122002111011100
42031211023220220313
54442314434413330
6153500534141143
713661142421002
oct2154513505067
9475348074140
10152021404215
115952113504a
12255677b17b3
13114492ac125
14750201c539
153e4b2be060
hex23652e8a37

152021404215 has 48 divisors (see below), whose sum is σ = 273088198656. Its totient is φ = 78149880000.

The previous prime is 152021404211. The next prime is 152021404217. The reversal of 152021404215 is 512404120251.

It is a happy number.

152021404215 is a `hidden beast` number, since 1 + 5 + 20 + 21 + 404 + 215 = 666.

152021404215 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 152021404215 - 22 = 152021404211 is a prime.

It is a super-3 number, since 3×1520214042153 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152021404211) 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, 133062 + ... + 567228.

It is an arithmetic number, because the mean of its divisors is an integer number (5689337472).

Almost surely, 2152021404215 is an apocalyptic number.

152021404215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152021404215 is a deficient number, since it is larger than the sum of its proper divisors (121066794441).

152021404215 is a wasteful number, since it uses less digits than its factorization.

152021404215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434460 (or 434457 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 152021404215 its reverse (512404120251), we get a palindrome (664425524466).

The spelling of 152021404215 in words is "one hundred fifty-two billion, twenty-one million, four hundred four thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 31 45 93 155 251 279 465 753 1255 1395 2259 3765 7781 11295 23343 38905 70029 116715 350145 434167 1302501 2170835 3907503 6512505 13459177 19537515 40377531 67295885 108975917 121132593 201887655 326927751 544879585 605662965 980783253 1634638755 3378253427 4903916265 10134760281 16891267135 30404280843 50673801405 152021404215