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153150145342501 = 291371731997111577
BaseRepresentation
bin100010110100101000001100…
…000000101010110000100101
3202002021000021221200202011211
4202310220030000222300211
5130033202444201430001
61301420112215231421
744154506241313006
oct4264501400526045
9662230257622154
10153150145342501
114488668048005a
1215215635978571
13675bcc5aa6238
1429b67140d91ad
1512a8bc03b2351
hex8b4a0c02ac25

153150145342501 has 32 divisors (see below), whose sum is σ = 160591903503840. Its totient is φ = 145866885943296.

The previous prime is 153150145342489. The next prime is 153150145342531. The reversal of 153150145342501 is 105243541051351.

It can be written as a sum of positive squares in 16 ways, for example, as 39211065991876 + 113939079350625 = 6261874^2 + 10674225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-153150145342501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153150145342531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372540225 + ... + 1372651801.

It is an arithmetic number, because the mean of its divisors is an integer number (5018496984495).

Almost surely, 2153150145342501 is an apocalyptic number.

It is an amenable number.

153150145342501 is a deficient number, since it is larger than the sum of its proper divisors (7441758161339).

153150145342501 is a wasteful number, since it uses less digits than its factorization.

153150145342501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113913.

The product of its (nonzero) digits is 180000, while the sum is 40.

Adding to 153150145342501 its reverse (105243541051351), we get a palindrome (258393686393852).

The spelling of 153150145342501 in words is "one hundred fifty-three trillion, one hundred fifty billion, one hundred forty-five million, three hundred forty-two thousand, five hundred one".

Divisors: 1 29 137 173 1997 3973 5017 23701 57913 111577 273589 345481 687329 3235733 7934081 10018949 15286049 19302821 47330897 222819269 443295421 559781809 1372596013 2644486477 6461758801 30526239853 38547733537 76690107833 885260955737 1117884272573 5281039494569 153150145342501