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153007218769 = 3759156744729
BaseRepresentation
bin1000111001111111110…
…0001110000001010001
3112121221100002001111111
42032133330032001101
510001324322000034
6154142431413321
714024442620626
oct2163774160121
9477840061444
10153007218769
115998764a119
12257a1984241
13115755c0652
147596d1634d
153ea7aec364
hex239ff0e051

153007218769 has 16 divisors (see below), whose sum is σ = 159911539200. Its totient is φ = 146251972224.

The previous prime is 153007218751. The next prime is 153007218773. The reversal of 153007218769 is 967812700351.

It is a happy number.

153007218769 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 153007218769 - 29 = 153007218257 is a prime.

It is a super-2 number, since 2×1530072187692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153007218719) 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 15 ways as a sum of consecutive naturals, for example, 3398397 + ... + 3443125.

It is an arithmetic number, because the mean of its divisors is an integer number (9994471200).

Almost surely, 2153007218769 is an apocalyptic number.

It is an amenable number.

153007218769 is a deficient number, since it is larger than the sum of its proper divisors (6904320431).

153007218769 is a wasteful number, since it uses less digits than its factorization.

153007218769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46392.

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 153007218769 in words is "one hundred fifty-three billion, seven million, two hundred eighteen thousand, seven hundred sixty-nine".

Divisors: 1 37 59 1567 2183 44729 57979 92453 1654973 2639011 3420761 70090343 97643407 2593342691 4135330237 153007218769