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420134671602 = 23231247737079
BaseRepresentation
bin1100001110100011111…
…10100101010011110010
31111011102220111122221200
412013101332211103302
523340413433442402
6521001320032030
742232220533332
oct6072176452362
91434386448850
10420134671602
111521a6084168
1269512302616
1330806ba8bc9
14164983030c2
15adde3b721c
hex61d1fa54f2

420134671602 has 144 divisors (see below), whose sum is σ = 973912792320. Its totient is φ = 130808234880.

The previous prime is 420134671577. The next prime is 420134671643. The reversal of 420134671602 is 206176431024.

420134671602 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 3 + 46 + 7 + 1 + 602 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59345899 + ... + 59352977.

It is an arithmetic number, because the mean of its divisors is an integer number (6763283280).

Almost surely, 2420134671602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420134671602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486956396160).

420134671602 is an abundant number, since it is smaller than the sum of its proper divisors (553778120718).

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

420134671602 is a wasteful number, since it uses less digits than its factorization.

420134671602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 420134671602 in words is "four hundred twenty billion, one hundred thirty-four million, six hundred seventy-one thousand, six hundred two".

Divisors: 1 2 3 6 9 18 31 47 62 73 93 94 141 146 186 219 279 282 423 438 558 657 846 961 1314 1457 1922 2263 2883 2914 3431 4371 4526 5766 6789 6862 7079 8649 8742 10293 13113 13578 14158 17298 20367 20586 21237 26226 30879 40734 42474 45167 61758 63711 70153 90334 106361 127422 135501 140306 210459 212722 219449 271002 319083 332713 406503 420918 438898 516767 631377 638166 658347 665426 813006 957249 998139 1033534 1262754 1316694 1550301 1914498 1975041 1996278 2994417 3100602 3297191 3950082 4650903 5988834 6594382 6802919 9301806 9891573 10314103 13605838 16019777 19783146 20408757 20628206 24288049 29674719 30942309 32039554 40817514 48059331 48576098 59349438 61226271 61884618 72864147 92826927 96118662 122452542 144177993 145728294 185653854 218592441 288355986 319737193 437184882 496613087 639474386 752929519 959211579 993226174 1489839261 1505859038 1918423158 2258788557 2877634737 2979678522 4469517783 4517577114 5755269474 6776365671 8939035566 13552731342 23340815089 46681630178 70022445267 140044890534 210067335801 420134671602