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2338423540992 = 28310731141
BaseRepresentation
bin100010000001110100111…
…001111000110100000000
322021112212202110000000000
4202001310321320310000
5301303042411302432
64550131300000000
7330642213066000
oct42016471706400
98245782400000
102338423540992
118217a1143140
12319251390000
1313c687962846
1481274a76000
1540c63a7457c
hex22074e78d00

2338423540992 has 1584 divisors, whose sum is σ = 9124577884800. Its totient is φ = 592568524800.

The previous prime is 2338423540969. The next prime is 2338423541017. The reversal of 2338423540992 is 2990453248332.

2338423540992 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 4 + 2 + 3 + 540 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 175 ways as a sum of consecutive naturals, for example, 57034720492 + ... + 57034720532.

Almost surely, 22338423540992 is an apocalyptic number.

2338423540992 is a gapful number since it is divisible by the number (22) 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 2338423540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562288942400).

2338423540992 is an abundant number, since it is smaller than the sum of its proper divisors (6786154343808).

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

2338423540992 is an frugal number, since it uses more digits than its factorization.

2338423540992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2338423540992 in words is "two trillion, three hundred thirty-eight billion, four hundred twenty-three million, five hundred forty thousand, nine hundred ninety-two".