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77242942080 = 2732513410233
BaseRepresentation
bin100011111110000001…
…0011100001010000000
321101101012020000112200
41013330002130022000
52231143143121310
655252424153200
75403103113603
oct1077402341200
9241335200480
1077242942080
112a838699717
1212b78608800
13738cb915b5
143a4a93233a
1520214179c0
hex11fc09c280

77242942080 has 96 divisors (see below), whose sum is σ = 266729554260. Its totient is φ = 20598116352.

The previous prime is 77242942061. The next prime is 77242942097. The reversal of 77242942080 is 8024924277.

It can be written as a sum of positive squares in 2 ways, for example, as 65049482304 + 12193459776 = 255048^2 + 110424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6699357 + ... + 6710876.

Almost surely, 277242942080 is an apocalyptic number.

It is an amenable number.

77242942080 is an abundant number, since it is smaller than the sum of its proper divisors (189486612180).

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

77242942080 is a wasteful number, since it uses less digits than its factorization.

77242942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13410258 (or 13410243 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 77242942080 in words is "seventy-seven billion, two hundred forty-two million, nine hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 13410233 26820466 40230699 53640932 67051165 80461398 107281864 120692097 134102330 160922796 201153495 214563728 241384194 268204660 321845592 402306990 429127456 482768388 536409320 603460485 643691184 804613980 858254912 965536776 1072818640 1206920970 1287382368 1609227960 1716509824 1931073552 2145637280 2413841940 2574764736 3218455920 3862147104 4291274560 4827683880 5149529472 6436911840 7724294208 8582549120 9655367760 12873823680 15448588416 19310735520 25747647360 38621471040 77242942080