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4764553457664 = 2123711131922937
BaseRepresentation
bin100010101010101010110…
…0001000011000000000000
3121212111010220220112001110
41011111111201003000000
51111030301141121124
614044450004003320
71001141035113120
oct105252541030000
917774126815043
104764553457664
1115776aa240480
1264b49b390540
132873ac1954b0
14126869b5ac80
1583e0c413029
hex45555843000

4764553457664 has 2496 divisors, whose sum is σ = 19126081981440. Its totient is φ = 1016667832320.

The previous prime is 4764553457663. The next prime is 4764553457687. The reversal of 4764553457664 is 4667543554674.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (1016064000) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 4764553457595 and 4764553457604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764553457663) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 128771715054 + ... + 128771715090.

Almost surely, 24764553457664 is an apocalyptic number.

4764553457664 is a gapful number since it is divisible by the number (44) 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 4764553457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9563040990720).

4764553457664 is an abundant number, since it is smaller than the sum of its proper divisors (14361528523776).

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

4764553457664 is a wasteful number, since it uses less digits than its factorization.

4764553457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 66.

The spelling of 4764553457664 in words is "four trillion, seven hundred sixty-four billion, five hundred fifty-three million, four hundred fifty-seven thousand, six hundred sixty-four".