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4063421970432 = 211331111359119
BaseRepresentation
bin111011001000010110110…
…100101011100000000000
3112101110101212022121122000
4323020112310223200000
51013033342011023212
612350413230544000
7566400245602026
oct73102664534000
915343355277560
104063421970432
111327318850770
12557627968000
132362434a19a6
1410095647c716
1570a73d551dc
hex3b216d2b800

4063421970432 has 384 divisors, whose sum is σ = 13247515008000. Its totient is φ = 1220422533120.

The previous prime is 4063421970383. The next prime is 4063421970463. The reversal of 4063421970432 is 2340791243604.

4063421970432 is a `hidden beast` number, since 4 + 0 + 634 + 2 + 1 + 9 + 7 + 0 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×40634219704323 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68703369 + ... + 68762487.

It is an arithmetic number, because the mean of its divisors is an integer number (34498737000).

Almost surely, 24063421970432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4063421970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623757504000).

4063421970432 is an abundant number, since it is smaller than the sum of its proper divisors (9184093037568).

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

4063421970432 is a wasteful number, since it uses less digits than its factorization.

4063421970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59274 (or 59248 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4063421970432 in words is "four trillion, sixty-three billion, four hundred twenty-one million, nine hundred seventy thousand, four hundred thirty-two".