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79894081152 = 2732659105239
BaseRepresentation
bin100101001101000001…
…1101110111010000000
321122012221210211122200
41022122003232322000
52302110341044102
6100411451233200
75525564325204
oct1123203567200
9248187724580
1079894081152
1130979142746
1213598448800
1376c31cb242
143c1ca86b04
15212904a51c
hex129a0eee80

79894081152 has 96 divisors (see below), whose sum is σ = 230254596000. Its totient is φ = 26590695936.

The previous prime is 79894081109. The next prime is 79894081219. The reversal of 79894081152 is 25118049897.

It is a happy number.

79894081152 is a `hidden beast` number, since 7 + 9 + 89 + 408 + 1 + 152 = 666.

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

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, 706549 + ... + 811787.

It is an arithmetic number, because the mean of its divisors is an integer number (2398485375).

Almost surely, 279894081152 is an apocalyptic number.

79894081152 is a gapful number since it is divisible by the number (72) 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 79894081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115127298000).

79894081152 is an abundant number, since it is smaller than the sum of its proper divisors (150360514848).

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

79894081152 is a wasteful number, since it uses less digits than its factorization.

79894081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105918 (or 105903 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 79894081152 in words is "seventy-nine billion, eight hundred ninety-four million, eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 659 1152 1318 1977 2636 3954 5272 5931 7908 10544 11862 15816 21088 23724 31632 42176 47448 63264 84352 94896 105239 126528 189792 210478 253056 315717 379584 420956 631434 759168 841912 947151 1262868 1683824 1894302 2525736 3367648 3788604 5051472 6735296 7577208 10102944 13470592 15154416 20205888 30308832 40411776 60617664 69352501 121235328 138705002 208057503 277410004 416115006 554820008 624172509 832230012 1109640016 1248345018 1664460024 2219280032 2496690036 3328920048 4438560064 4993380072 6657840096 8877120128 9986760144 13315680192 19973520288 26631360384 39947040576 79894081152