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2663465490432 = 211331273471093
BaseRepresentation
bin100110110000100010111…
…010100001100000000000
3100102121212111012212101000
4212300202322201200000
5322114234131143212
65355325033012000
7363300105060315
oct46604272414000
910377774185330
102663465490432
1193762991871a
12370245254000
131642188c48c6
1492cab960d0c
15494399401dc
hex26c22ea1800

2663465490432 has 384 divisors, whose sum is σ = 7982160076800. Its totient is φ = 877489127424.

The previous prime is 2663465490419. The next prime is 2663465490443. The reversal of 2663465490432 is 2340945643662.

2663465490432 is a `hidden beast` number, since 2 + 6 + 63 + 4 + 6 + 549 + 0 + 4 + 32 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436838878 + ... + 2436839970.

It is an arithmetic number, because the mean of its divisors is an integer number (20786875200).

Almost surely, 22663465490432 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 2663465490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991080038400).

2663465490432 is an abundant number, since it is smaller than the sum of its proper divisors (5318694586368).

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

2663465490432 is a wasteful number, since it uses less digits than its factorization.

2663465490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 2663465490432 in words is "two trillion, six hundred sixty-three billion, four hundred sixty-five million, four hundred ninety thousand, four hundred thirty-two".