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2987386466904 = 2332731199960829
BaseRepresentation
bin101011011110001110000…
…110111111001001011000
3101120120222002200101220200
4223132032012333021120
5342421131413420104
610204215243422200
7425555135665110
oct53361606771130
911516862611820
102987386466904
11a51a41863664
12402b85824960
1318892b541a58
14a4839a0c040
1552a971d0b39
hex2b78e1bf258

2987386466904 has 192 divisors, whose sum is σ = 9592926720000. Its totient is φ = 821853838080.

The previous prime is 2987386466879. The next prime is 2987386466923. The reversal of 2987386466904 is 4096646837892.

2987386466904 is a `hidden beast` number, since 2 + 9 + 8 + 73 + 8 + 6 + 466 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2628762 + ... + 3589590.

It is an arithmetic number, because the mean of its divisors is an integer number (49963160000).

Almost surely, 22987386466904 is an apocalyptic number.

2987386466904 is a gapful number since it is divisible by the number (24) 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 2987386466904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796463360000).

2987386466904 is an abundant number, since it is smaller than the sum of its proper divisors (6605540253096).

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

2987386466904 is a wasteful number, since it uses less digits than its factorization.

2987386466904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961078 (or 961071 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 2987386466904 in words is "two trillion, nine hundred eighty-seven billion, three hundred eighty-six million, four hundred sixty-six thousand, nine hundred four".