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116356481280 = 28325133171353
BaseRepresentation
bin110110001011101100…
…0110000000100000000
3102010100002020200102200
41230113120300010000
53401244224400110
6125241535113200
711256264525564
oct1542730600400
9363302220380
10116356481280
114538a222626
121a673672800
13ac843aac30
1458bb4a96a4
1530601996c0
hex1b17630100

116356481280 has 864 divisors, whose sum is σ = 455123515392. Its totient is φ = 27249868800.

The previous prime is 116356481261. The next prime is 116356481359. The reversal of 116356481280 is 82184653611.

116356481280 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 564 + 8 + 1 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329621584 + ... + 329621936.

It is an arithmetic number, because the mean of its divisors is an integer number (526763328).

Almost surely, 2116356481280 is an apocalyptic number.

116356481280 is a gapful number since it is divisible by the number (10) 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 116356481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227561757696).

116356481280 is an abundant number, since it is smaller than the sum of its proper divisors (338767034112).

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

116356481280 is a wasteful number, since it uses less digits than its factorization.

116356481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 116356481280 in words is "one hundred sixteen billion, three hundred fifty-six million, four hundred eighty-one thousand, two hundred eighty".