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76653095680 = 285713961547
BaseRepresentation
bin100011101100011100…
…0010110101100000000
321022212002022201101201
41013120320112230000
52223441143030210
655114113510544
75352351364030
oct1073070265400
9238762281351
1076653095680
112a565746357
1212a32b72454
1372c790c465
1439d246d8c0
151ed975353a
hex11d8e16b00

76653095680 has 144 divisors (see below), whose sum is σ = 211350908160. Its totient is φ = 26091565056.

The previous prime is 76653095669. The next prime is 76653095699. The reversal of 76653095680 is 8659035667.

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, 1214667 + ... + 1276213.

It is an arithmetic number, because the mean of its divisors is an integer number (1467714640).

Almost surely, 276653095680 is an apocalyptic number.

76653095680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76653095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105675454080).

76653095680 is an abundant number, since it is smaller than the sum of its proper divisors (134697812480).

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

76653095680 is a wasteful number, since it uses less digits than its factorization.

76653095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61714 (or 61700 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 76653095680 in words is "seventy-six billion, six hundred fifty-three million, ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 139 140 160 224 256 278 280 320 448 556 560 640 695 896 973 1112 1120 1280 1390 1792 1946 2224 2240 2780 3892 4448 4480 4865 5560 7784 8896 8960 9730 11120 15568 17792 19460 22240 31136 35584 38920 44480 61547 62272 77840 88960 123094 124544 155680 177920 246188 249088 307735 311360 430829 492376 615470 622720 861658 984752 1230940 1245440 1723316 1969504 2154145 2461880 3446632 3939008 4308290 4923760 6893264 7878016 8555033 8616580 9847520 13786528 15756032 17110066 17233160 19695040 27573056 34220132 34466320 39390080 42775165 55146112 59885231 68440264 68932640 78780160 85550330 110292224 119770462 136880528 137865280 171100660 239540924 273761056 275730560 299426155 342201320 479081848 547522112 551461120 598852310 684402640 958163696 1095044224 1197704620 1368805280 1916327392 2190088448 2395409240 2737610560 3832654784 4790818480 5475221120 7665309568 9581636960 10950442240 15330619136 19163273920 38326547840 76653095680