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147019578134260 = 225135310669055017
BaseRepresentation
bin100001011011011010101001…
…101110101100111011110100
3201021112221020011220210020011
4201123122221232230323310
5123232232044000244020
61240403510051550004
742652546125662026
oct4133325156547364
9637487204823204
10147019578134260
1142932720078637
12145a54672bb304
136405b6b1b7950
142843add792016
1511ee4b38c435a
hex85b6a9bacef4

147019578134260 has 48 divisors (see below), whose sum is σ = 338763834931536. Its totient is φ = 53259922639872.

The previous prime is 147019578134257. The next prime is 147019578134263. The reversal of 147019578134260 is 62431875910741.

147019578134260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147019578134257) and next prime (147019578134263).

It can be written as a sum of positive squares in 8 ways, for example, as 8261968404496 + 138757609729764 = 2874364^2 + 11779542^2 .

It is a super-3 number, since 3×1470195781342603 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 147019578134195 and 147019578134204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147019578134263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5334513729 + ... + 5334541288.

It is an arithmetic number, because the mean of its divisors is an integer number (7057579894407).

It is a 1-persistent number, because it is pandigital, but 2⋅147019578134260 = 294039156268520 is not.

Almost surely, 2147019578134260 is an apocalyptic number.

147019578134260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147019578134260 is an abundant number, since it is smaller than the sum of its proper divisors (191744256797276).

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

147019578134260 is a wasteful number, since it uses less digits than its factorization.

147019578134260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10669055092 (or 10669055090 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 147019578134260 in words is "one hundred forty-seven trillion, nineteen billion, five hundred seventy-eight million, one hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 10669055017 21338110034 42676220068 53345275085 106690550170 138697715221 213381100340 277395430442 554790860884 565459915901 693488576105 1130919831802 1386977152210 2261839663604 2773954304420 2827299579505 5654599159010 7350978906713 11309198318020 14701957813426 29403915626852 36754894533565 73509789067130 147019578134260