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147153351741 = 3115657788261
BaseRepresentation
bin1000100100001100000…
…1011111010000111101
3112001211100222210120120
42021003001133100331
54402332224223431
6151333515005153
713426411565124
oct2110301372075
9461740883516
10147153351741
115745325a190
12246294397b9
1310b5189b5c6
14719d6a6abb
153c63c2d196
hex224305f43d

147153351741 has 16 divisors (see below), whose sum is σ = 214079347008. Its totient is φ = 89167971200.

The previous prime is 147153351739. The next prime is 147153351811.

147153351741 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 147153351741 - 21 = 147153351739 is a prime.

It is a super-2 number, since 2×1471533517412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147153351693 and 147153351702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147153351841) 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 15 ways as a sum of consecutive naturals, for example, 207450 + ... + 580811.

It is an arithmetic number, because the mean of its divisors is an integer number (13379959188).

Almost surely, 2147153351741 is an apocalyptic number.

147153351741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

147153351741 is a deficient number, since it is larger than the sum of its proper divisors (66925995267).

147153351741 is a wasteful number, since it uses less digits than its factorization.

147153351741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793932.

The product of its digits is 176400, while the sum is 42.

It can be divided in two parts, 147153 and 351741, that added together give a palindrome (498894).

The spelling of 147153351741 in words is "one hundred forty-seven billion, one hundred fifty-three million, three hundred fifty-one thousand, seven hundred forty-one".

Divisors: 1 3 11 33 5657 16971 62227 186681 788261 2364783 8670871 26012613 4459192477 13377577431 49051117247 147153351741