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153162000057 = 31125491820821
BaseRepresentation
bin1000111010100100101…
…0101010011010111001
3112122100010022202111210
42032221022222122321
510002133433000212
6154210041113333
714031332343213
oct2165112523271
9478303282453
10153162000057
1159a56a57640
1225825788849
131159b6a4901
1475ad6c75b3
153eb64c353c
hex23a92aa6b9

153162000057 has 16 divisors (see below), whose sum is σ = 222868612800. Its totient is φ = 92788987200.

The previous prime is 153162000053. The next prime is 153162000109. The reversal of 153162000057 is 750000261351.

153162000057 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 153162000057 - 22 = 153162000053 is a prime.

It is a super-2 number, since 2×1531620000572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153161999988 and 153162000033.

It is not an unprimeable number, because it can be changed into a prime (153162000053) 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, 826294 + ... + 994527.

It is an arithmetic number, because the mean of its divisors is an integer number (13929288300).

Almost surely, 2153162000057 is an apocalyptic number.

It is an amenable number.

153162000057 is a deficient number, since it is larger than the sum of its proper divisors (69706612743).

153162000057 is a wasteful number, since it uses less digits than its factorization.

153162000057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823384.

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 153162000057 in words is "one hundred fifty-three billion, one hundred sixty-two million, fifty-seven", and thus it is an aban number.

Divisors: 1 3 11 33 2549 7647 28039 84117 1820821 5462463 20029031 60087093 4641272729 13923818187 51054000019 153162000057