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76806121941180 = 2232515116691693129
BaseRepresentation
bin10001011101101011010001…
…100111010110100010111100
3101001221121000200210220012200
4101131223101213112202330
540031342414204104210
6431204124553231500
722115026205422242
oct2135532147264274
9331847020726180
1076806121941180
1122522325560295
12874565aa02590
1333b1a2b435568
1414d7616a8c792
158d2d844440c0
hex45dad19d68bc

76806121941180 has 144 divisors (see below), whose sum is σ = 234662129083200. Its totient is φ = 20333790028800.

The previous prime is 76806121941161. The next prime is 76806121941193. The reversal of 76806121941180 is 8114912160867.

76806121941180 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 6 + 1 + 219 + 411 + 8 + 0 = 666.

76806121941180 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×768061219411802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44516856 + ... + 46209984.

Almost surely, 276806121941180 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 76806121941180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331064541600).

76806121941180 is an abundant number, since it is smaller than the sum of its proper divisors (157856007142020).

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

76806121941180 is a wasteful number, since it uses less digits than its factorization.

76806121941180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694964 (or 1694959 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 76806121941180 in words is "seventy-six trillion, eight hundred six billion, one hundred twenty-one million, nine hundred forty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1669 1812 2265 2718 3020 3338 4530 5007 5436 6676 6795 8345 9060 10014 13590 15021 16690 20028 25035 27180 30042 33380 50070 60084 75105 100140 150210 252019 300420 504038 756057 1008076 1260095 1512114 1693129 2268171 2520190 3024228 3386258 3780285 4536342 5040380 5079387 6772516 7560570 8465645 9072684 10158774 11340855 15121140 15238161 16931290 20317548 22681710 25396935 30476322 33862580 45363420 50793870 60952644 76190805 101587740 152381610 255662479 304763220 511324958 766987437 1022649916 1278312395 1533974874 2300962311 2556624790 2825832301 3067949748 3834937185 4601924622 5113249580 5651664602 7669874370 8477496903 9203849244 11303329204 11504811555 14129161505 15339748740 16954993806 23009623110 25432490709 28258323010 33909987612 42387484515 46019246220 50864981418 56516646020 84774969030 101729962836 127162453545 169549938060 254324907090 426700677451 508649814180 853401354902 1280102032353 1706802709804 2133503387255 2560204064706 3840306097059 4267006774510 5120408129412 6400510161765 7680612194118 8534013549020 12801020323530 15361224388236 19201530485295 25602040647060 38403060970590 76806121941180