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153123025644 = 2235157533977
BaseRepresentation
bin1000111010011011010…
…1111111001011101100
3112122020101222122200000
42032212311333023230
510002043443310034
6154202125504300
714030350146201
oct2164665771354
9478211878600
10153123025644
1159a36a57586
1225814712090
13115935a9b24
1475a845dca8
153eb2d75599
hex23a6d7f2ec

153123025644 has 36 divisors (see below), whose sum is σ = 401396575944. Its totient is φ = 51041008224.

The previous prime is 153123025633. The next prime is 153123025667. The reversal of 153123025644 is 446520321351.

153123025644 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 2 + 3 + 0 + 2 + 5 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1531230256442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153123025599 and 153123025608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78766017 + ... + 78767960.

Almost surely, 2153123025644 is an apocalyptic number.

It is an amenable number.

153123025644 is an abundant number, since it is smaller than the sum of its proper divisors (248273550300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153123025644 is a wasteful number, since it uses less digits than its factorization.

153123025644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157533996 (or 157533982 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 153123025644 its reverse (446520321351), we get a palindrome (599643346995).

The spelling of 153123025644 in words is "one hundred fifty-three billion, one hundred twenty-three million, twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 157533977 315067954 472601931 630135908 945203862 1417805793 1890407724 2835611586 4253417379 5671223172 8506834758 12760252137 17013669516 25520504274 38280756411 51041008548 76561512822 153123025644