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154990639964160 = 213325711131731797
BaseRepresentation
bin100011001111011010010010…
…000010011110000000000000
3202022202221221012000211111200
4203033122102002132000000
5130303331312312323120
61305345414514341200
744434463354421360
oct4317322202360000
9668687835024450
10154990639964160
1145426185731310
121547228388a800
1368637296c1a20
142a3b830a2a9a0
1512db9e0056e90
hex8cf69209e000

154990639964160 has 5376 divisors, whose sum is σ = 789428274905088. Its totient is φ = 27043194470400.

The previous prime is 154990639964159. The next prime is 154990639964203. The reversal of 154990639964160 is 61469936099451.

154990639964160 is a `hidden beast` number, since 1 + 5 + 4 + 9 + 90 + 6 + 39 + 96 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 194467552882 + ... + 194467553678.

It is an arithmetic number, because the mean of its divisors is an integer number (146843057088).

Almost surely, 2154990639964160 is an apocalyptic number.

154990639964160 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 154990639964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394714137452544).

154990639964160 is an abundant number, since it is smaller than the sum of its proper divisors (634437634940928).

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

154990639964160 is a wasteful number, since it uses less digits than its factorization.

154990639964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 154990639964160 in words is "one hundred fifty-four trillion, nine hundred ninety billion, six hundred thirty-nine million, nine hundred sixty-four thousand, one hundred sixty".