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153434011332353 = 10139720871833527
BaseRepresentation
bin100010111000110000100011…
…101111011110111100000001
3202010021011000001122010202112
4202320300203233132330001
5130102330323400113403
61302154340044425105
744214145556363033
oct4270604357367401
9663234001563675
10153434011332353
1144985aa9420774
1215260657b48195
13677c9c415aa7b
1429c6362583c53
1512b12864089d8
hex8b8c23bdef01

153434011332353 has 16 divisors (see below), whose sum is σ = 155417988812544. Its totient is φ = 151459515345600.

The previous prime is 153434011332313. The next prime is 153434011332377. The reversal of 153434011332353 is 353233110434351.

153434011332353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 153434011332353 - 218 = 153434011070209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 153434011332353.

It is not an unprimeable number, because it can be changed into a prime (153434011332313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82765676 + ... + 84599202.

It is an arithmetic number, because the mean of its divisors is an integer number (9713624300784).

Almost surely, 2153434011332353 is an apocalyptic number.

It is an amenable number.

153434011332353 is a deficient number, since it is larger than the sum of its proper divisors (1983977480191).

153434011332353 is a wasteful number, since it uses less digits than its factorization.

153434011332353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836112.

The product of its (nonzero) digits is 583200, while the sum is 41.

The spelling of 153434011332353 in words is "one hundred fifty-three trillion, four hundred thirty-four billion, eleven million, three hundred thirty-two thousand, three hundred fifty-three".

Divisors: 1 101 397 2087 40097 210787 828539 1833527 83682439 185186227 727910219 3826570849 73518932119 386483655749 1519148627053 153434011332353