Search a number
-
+
2152753151148 = 2232325318382631
BaseRepresentation
bin11111010100111010000…
…101100011110010101100
321121210122001211221012200
4133110322011203302230
5240232314301314043
64324543335101500
7311350141603035
oct37247205436254
97553561757180
102152753151148
1175aa83039166
122a9274811890
13128008319a42
147629db4ba8c
153aee86407d3
hex1f53a163cac

2152753151148 has 36 divisors (see below), whose sum is σ = 5443354692048. Its totient is φ = 717363753120.

The previous prime is 2152753151123. The next prime is 2152753151183. The reversal of 2152753151148 is 8411513572512.

2152753151148 is a `hidden beast` number, since 2 + 1 + 5 + 27 + 531 + 51 + 1 + 48 = 666.

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

It is a super-2 number, since 2×21527531511482 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9074208 + ... + 9308423.

Almost surely, 22152753151148 is an apocalyptic number.

It is an amenable number.

2152753151148 is an abundant number, since it is smaller than the sum of its proper divisors (3290601540900).

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

2152753151148 is a wasteful number, since it uses less digits than its factorization.

2152753151148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18385894 (or 18385889 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The spelling of 2152753151148 in words is "two trillion, one hundred fifty-two billion, seven hundred fifty-three million, one hundred fifty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3253 6506 9759 13012 19518 29277 39036 58554 117108 18382631 36765262 55147893 73530524 110295786 165443679 220591572 330887358 661774716 59798698643 119597397286 179396095929 239194794572 358792191858 538188287787 717584383716 1076376575574 2152753151148