Search a number
-
+
2029445554080 = 2535717374720431
BaseRepresentation
bin11101100010000100011…
…000011001111110100000
321012000100112211222112010
4131202010120121332200
5231222301030212310
64152151525232520
7266423360404350
oct35420430317640
97160315758463
102029445554080
1171275712044a
122893a1262740
131194b6ac0459
147032340cb60
1537bcd0d6320
hex1d884619fa0

2029445554080 has 768 divisors, whose sum is σ = 8114280136704. Its totient is φ = 415728599040.

The previous prime is 2029445554079. The next prime is 2029445554099. The reversal of 2029445554080 is 804555449202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99321465 + ... + 99341895.

It is an arithmetic number, because the mean of its divisors is an integer number (10565468928).

Almost surely, 22029445554080 is an apocalyptic number.

2029445554080 is a gapful number since it is divisible by the number (20) 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 2029445554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057140068352).

2029445554080 is an abundant number, since it is smaller than the sum of its proper divisors (6084834582624).

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

2029445554080 is a wasteful number, since it uses less digits than its factorization.

2029445554080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20557 (or 20549 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 2029445554080 in words is "two trillion, twenty-nine billion, four hundred forty-five million, five hundred fifty-four thousand, eighty".