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134556374640 = 2435975779913
BaseRepresentation
bin111110101010000101…
…1110101011001110000
3110212022110120001121010
41331110023311121300
54201032412442030
6141451522030520
712502301212302
oct1752413653160
9425273501533
10134556374640
1152079624906
12220b27a8440
13c8c4b590bc
14672668b972
153777d8a6b0
hex1f542f5670

134556374640 has 80 divisors (see below), whose sum is σ = 421425089568. Its totient is φ = 35511779328.

The previous prime is 134556374629. The next prime is 134556374663. The reversal of 134556374640 is 46473655431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134556374640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2866677 + ... + 2913236.

Almost surely, 2134556374640 is an apocalyptic number.

134556374640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134556374640 is an abundant number, since it is smaller than the sum of its proper divisors (286868714928).

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

134556374640 is a wasteful number, since it uses less digits than its factorization.

134556374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780026 (or 5780020 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 134556374640 in words is "one hundred thirty-four billion, five hundred fifty-six million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 5779913 11559826 17339739 23119652 28899565 34679478 46239304 57799130 69358956 86698695 92478608 115598260 138717912 173397390 231196520 277435824 346794780 462393040 560651561 693589560 1121303122 1387179120 1681954683 2242606244 2803257805 3363909366 4485212488 5606515610 6727818732 8409773415 8970424976 11213031220 13455637464 16819546830 22426062440 26911274928 33639093660 44852124880 67278187320 134556374640