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2029473630 = 23454753309
BaseRepresentation
bin111100011110111…
…0100111101011110
312020102210221110000
41320331310331132
513124021124010
6533214355130
7101202145512
oct17075647536
95212727400
102029473630
11951648638
124877bbaa6
132645c6892
1415376c142
15bd2857c0
hex78f74f5e

2029473630 has 80 divisors (see below), whose sum is σ = 5573240640. Its totient is φ = 529668288.

The previous prime is 2029473629. The next prime is 2029473631. The reversal of 2029473630 is 363749202.

It is a happy number.

2029473630 is a `hidden beast` number, since 2 + 0 + 294 + 7 + 363 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2029473629) and next prime (2029473631).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029473631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11416 + ... + 64724.

It is an arithmetic number, because the mean of its divisors is an integer number (69665508).

Almost surely, 22029473630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029473630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786620320).

2029473630 is an abundant number, since it is smaller than the sum of its proper divisors (3543767010).

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

2029473630 is a wasteful number, since it uses less digits than its factorization.

2029473630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53375 (or 53366 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2029473630 is about 45049.6795771069. The cubic root of 2029473630 is about 1266.0799684442.

The spelling of 2029473630 in words is "two billion, twenty-nine million, four hundred seventy-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1269 1410 2115 2538 3807 4230 6345 7614 12690 19035 38070 53309 106618 159927 266545 319854 479781 533090 799635 959562 1439343 1599270 2398905 2505523 2878686 4318029 4797810 5011046 7196715 7516569 8636058 12527615 14393430 15033138 21590145 22549707 25055230 37582845 43180290 45099414 67649121 75165690 112748535 135298242 202947363 225497070 338245605 405894726 676491210 1014736815 2029473630