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16290376190640 = 2434519235752739
BaseRepresentation
bin1110110100001110011000…
…0101100000101010110000
32010200100022022210122220000
43231003212011200222300
54113400142301100030
654351410121350000
73300640464634656
oct355034605405260
963610268718800
1016290376190640
115210789741312
1219b1226038300
13912239552a66
1440465bc64dd6
151d3b3b73a860
hexed0e6160ab0

16290376190640 has 400 divisors, whose sum is σ = 62146159891200. Its totient is φ = 3936529580544.

The previous prime is 16290376190623. The next prime is 16290376190653. The reversal of 16290376190640 is 4609167309261.

16290376190640 is a `hidden beast` number, since 1 + 6 + 29 + 0 + 376 + 190 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 44610 + ... + 5708129.

It is an arithmetic number, because the mean of its divisors is an integer number (155365399728).

Almost surely, 216290376190640 is an apocalyptic number.

16290376190640 is a gapful number since it is divisible by the number (10) 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 16290376190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073079945600).

16290376190640 is an abundant number, since it is smaller than the sum of its proper divisors (45855783700560).

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

16290376190640 is a wasteful number, since it uses less digits than its factorization.

16290376190640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752806 (or 5752791 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 16290376190640 in words is "sixteen trillion, two hundred ninety billion, three hundred seventy-six million, one hundred ninety thousand, six hundred forty".