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2696296273920 = 21135510311051
BaseRepresentation
bin100111001111000111110…
…010000001100000000000
3100112202121112010110200000
4213033013302001200000
5323134003321231140
65422354510400000
7365541510115254
oct47170762014000
910482545113600
102696296273920
1194a546a55237
12376688200000
1316734b5a4702
1494703d24264
154a20bd34a30
hex273c7c81800

2696296273920 has 576 divisors, whose sum is σ = 9709614270720. Its totient is φ = 717631488000.

The previous prime is 2696296273901. The next prime is 2696296273927. The reversal of 2696296273920 is 293726926962.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696296273927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2565457395 + ... + 2565458445.

It is an arithmetic number, because the mean of its divisors is an integer number (16856969220).

Almost surely, 22696296273920 is an apocalyptic number.

2696296273920 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 2696296273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854807135360).

2696296273920 is an abundant number, since it is smaller than the sum of its proper divisors (7013317996800).

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

2696296273920 is a wasteful number, since it uses less digits than its factorization.

2696296273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 2696296273920 in words is "two trillion, six hundred ninety-six billion, two hundred ninety-six million, two hundred seventy-three thousand, nine hundred twenty".