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116849355840 = 2634571743881
BaseRepresentation
bin110110011010011000…
…0111010110001000000
3102011121102200022020000
41230310300322301000
53403301413341330
6125402503120000
711304431064630
oct1546460726100
9364542608200
10116849355840
1145612462578
121a790743000
13b032539999
145926b286c0
15308d5a6560
hex1b34c3ac40

116849355840 has 1120 divisors, whose sum is σ = 515257231104. Its totient is φ = 24524881920.

The previous prime is 116849355827. The next prime is 116849355853. The reversal of 116849355840 is 48553948611.

It is a happy number.

116849355840 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 49 + 3 + 558 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (116849355827) and next prime (116849355853).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 132632200 + ... + 132633080.

Almost surely, 2116849355840 is an apocalyptic number.

116849355840 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 116849355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257628615552).

116849355840 is an abundant number, since it is smaller than the sum of its proper divisors (398407875264).

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

116849355840 is a wasteful number, since it uses less digits than its factorization.

116849355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 116849355840 in words is "one hundred sixteen billion, eight hundred forty-nine million, three hundred fifty-five thousand, eight hundred forty".