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51184012080 = 24351713739137
BaseRepresentation
bin101111101010110011…
…100000101100110000
311220010002202012212010
4233222303200230300
51314311101341310
635302535002520
73461246632005
oct575263405460
9156102665763
1051184012080
111a786049933
129b05509440
134a99156ca6
142697a9b8ac
1514e87c3320
hexbeace0b30

51184012080 has 160 divisors (see below), whose sum is σ = 168144755904. Its totient is φ = 12835422208.

The previous prime is 51184012069. The next prime is 51184012127. The reversal of 51184012080 is 8021048115.

It is a happy number.

51184012080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5597272 + ... + 5606408.

Almost surely, 251184012080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51184012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84072377952).

51184012080 is an abundant number, since it is smaller than the sum of its proper divisors (116960743824).

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

51184012080 is a wasteful number, since it uses less digits than its factorization.

51184012080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The spelling of 51184012080 in words is "fifty-one billion, one hundred eighty-four million, twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 1373 2040 2746 4080 4119 5492 6865 8238 9137 10984 13730 16476 18274 20595 21968 23341 27411 27460 32952 36548 41190 45685 46682 54822 54920 65904 70023 73096 82380 91370 93364 109644 109840 116705 137055 140046 146192 155329 164760 182740 186728 219288 233410 274110 280092 310658 329520 350115 365480 373456 438576 465987 466820 548220 560184 621316 700230 730960 776645 931974 933640 1096440 1120368 1242632 1400460 1553290 1863948 1867280 2192880 2329935 2485264 2800920 3106580 3727896 4659870 5601840 6213160 7455792 9319740 12426320 12545101 18639480 25090202 37278960 37635303 50180404 62725505 75270606 100360808 125451010 150541212 188176515 200721616 213266717 250902020 301082424 376353030 426533434 501804040 602164848 639800151 752706060 853066868 1003608080 1066333585 1279600302 1505412120 1706133736 2132667170 2559200604 3010824240 3199000755 3412267472 4265334340 5118401208 6398001510 8530668680 10236802416 12796003020 17061337360 25592006040 51184012080