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3813464709120 = 2113511233789149
BaseRepresentation
bin110111011111100100001…
…101011001100000000000
3111111120012220122002222010
4313133210031121200000
5444434433431142440
612035514223212520
7542341132124613
oct67374415314000
914446186562863
103813464709120
111240310458750
125170a9747140
132187ba228081
14d28035d417a
15692e4b7e580
hex377e4359800

3813464709120 has 1536 divisors, whose sum is σ = 14520280320000. Its totient is φ = 845005455360.

The previous prime is 3813464709113. The next prime is 3813464709151. The reversal of 3813464709120 is 219074643183.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×38134647091202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3813464709120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25593722806 + ... + 25593722954.

It is an arithmetic number, because the mean of its divisors is an integer number (9453307500).

Almost surely, 23813464709120 is an apocalyptic number.

3813464709120 is a gapful number since it is divisible by the number (30) 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 3813464709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260140160000).

3813464709120 is an abundant number, since it is smaller than the sum of its proper divisors (10706815610880).

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

3813464709120 is a wasteful number, since it uses less digits than its factorization.

3813464709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3813464709120 in words is "three trillion, eight hundred thirteen billion, four hundred sixty-four million, seven hundred nine thousand, one hundred twenty".