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147346030050 = 23522833539833
BaseRepresentation
bin1000100100111010000…
…0011111110111100010
3112002022210112212112020
42021032200133313202
54403231040430200
6151405000442310
713434241406352
oct2111640376742
9462283485466
10147346030050
1157541aa125a
1224681a79396
1310b8279113b
1471bb100b62
153c75adcea0
hex224e81fde2

147346030050 has 96 divisors (see below), whose sum is σ = 367785620928. Its totient is φ = 39038545920.

The previous prime is 147346030031. The next prime is 147346030057. The reversal of 147346030050 is 50030643741.

147346030050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1473460300504 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147346029993 and 147346030020.

It is not an unprimeable number, because it can be changed into a prime (147346030057) 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 47 ways as a sum of consecutive naturals, for example, 14979934 + ... + 14989766.

It is an arithmetic number, because the mean of its divisors is an integer number (3831100218).

Almost surely, 2147346030050 is an apocalyptic number.

147346030050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147346030050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183892810464).

147346030050 is an abundant number, since it is smaller than the sum of its proper divisors (220439590878).

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

147346030050 is a wasteful number, since it uses less digits than its factorization.

147346030050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 147346030050 its reverse (50030643741), we get a palindrome (197376673791).

The spelling of 147346030050 in words is "one hundred forty-seven billion, three hundred forty-six million, thirty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 283 353 566 706 849 1059 1415 1698 1765 2118 2830 3530 4245 5295 7075 8490 8825 9833 10590 14150 17650 19666 21225 26475 29499 42450 49165 52950 58998 98330 99899 147495 199798 245825 294990 299697 491650 499495 599394 737475 998990 1474950 1498485 2497475 2782739 2996970 3471049 4994950 5565478 6942098 7492425 8348217 10413147 13913695 14984850 16696434 17355245 20826294 27827390 34710490 41741085 52065735 69568475 83482170 86776225 104131470 139136950 173552450 208705425 260328675 417410850 520657350 982306867 1964613734 2946920601 4911534335 5893841202 9823068670 14734603005 24557671675 29469206010 49115343350 73673015025 147346030050