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2738137402380 = 22353122330721503
BaseRepresentation
bin100111110110000101101…
…101010000110000001100
3100200202121111121000121110
4213312011231100300030
5324330201133334010
65453514415132020
7401552411621442
oct47660555206014
910622544530543
102738137402380
119662681a9346
12382804814010
1316b288c173a3
1496752c32b92
154b35a29b120
hex27d85b50c0c

2738137402380 has 192 divisors, whose sum is σ = 7975854931968. Its totient is φ = 701123454720.

The previous prime is 2738137402373. The next prime is 2738137402381. The reversal of 2738137402380 is 832047318372.

It is not an unprimeable number, because it can be changed into a prime (2738137402381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127326709 + ... + 127348211.

It is an arithmetic number, because the mean of its divisors is an integer number (41540911104).

Almost surely, 22738137402380 is an apocalyptic number.

2738137402380 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 2738137402380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987927465984).

2738137402380 is an abundant number, since it is smaller than the sum of its proper divisors (5237717529588).

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

2738137402380 is a wasteful number, since it uses less digits than its factorization.

2738137402380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22076 (or 22074 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2738137402380 in words is "two trillion, seven hundred thirty-eight billion, one hundred thirty-seven million, four hundred two thousand, three hundred eighty".