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160242945984 = 2632112337113263
BaseRepresentation
bin1001010100111100111…
…0010100111111000000
3120022121121101002020100
42111033032110333000
510111134143232414
6201340430242400
714401653365352
oct2251716247700
9508547332210
10160242945984
1161a5aa69070
1227081056400
13121596ac644
147a81cb50d2
15427ce7b609
hex254f394fc0

160242945984 has 672 divisors, whose sum is σ = 543790900224. Its totient is φ = 44621660160.

The previous prime is 160242945943. The next prime is 160242945991. The reversal of 160242945984 is 489549242061.

160242945984 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 42 + 9 + 4 + 598 + 4 = 666.

160242945984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1602429459842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 160242945984.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 609288637 + ... + 609288899.

Almost surely, 2160242945984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160242945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271895450112).

160242945984 is an abundant number, since it is smaller than the sum of its proper divisors (383547954240).

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

160242945984 is a wasteful number, since it uses less digits than its factorization.

160242945984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 160242945984 in words is "one hundred sixty billion, two hundred forty-two million, nine hundred forty-five thousand, nine hundred eighty-four".