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1987347265344 = 26387296589
BaseRepresentation
bin11100111010110111001…
…000001011011101000000
321000222200122111100000000
4130322313020023131000
5230030041344442334
64120550313000000
7263403214014600
oct34726710133500
97028618440000
101987347265344
116a69137a2a91
122811b26b3000
131155380cbc2c
146c28c2bcc00
1536a672c4299
hex1ceb720b740

1987347265344 has 378 divisors, whose sum is σ = 6880974913410. Its totient is φ = 567807625728.

The previous prime is 1987347265307. The next prime is 1987347265369. The reversal of 1987347265344 is 4435627437891.

1987347265344 is a `hidden beast` number, since 1 + 9 + 8 + 73 + 4 + 7 + 26 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1204971634944 + 782375630400 = 1097712^2 + 884520^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20527002 + ... + 20623590.

Almost surely, 21987347265344 is an apocalyptic number.

1987347265344 is a gapful number since it is divisible by the number (14) 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 1987347265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440487456705).

1987347265344 is an abundant number, since it is smaller than the sum of its proper divisors (4893627648066).

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

1987347265344 is an frugal number, since it uses more digits than its factorization.

1987347265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96639 (or 96601 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 1987347265344 in words is "one trillion, nine hundred eighty-seven billion, three hundred forty-seven million, two hundred sixty-five thousand, three hundred forty-four".