Search a number
-
+
350059968000 = 2937534161
BaseRepresentation
bin1010001100000010011…
…00110011011000000000
31020110120021120220000000
411012001030303120000
521213410322434000
6424452040000000
734201545430041
oct5060114633000
91213507526000
10350059968000
111255067a9186
1257a16460000
132701a136b52
1412d2b8028c8
15918c44c000
hex5181333600

350059968000 has 1280 divisors, whose sum is σ = 1363060258560. Its totient is φ = 89579520000.

The previous prime is 350059967993. The next prime is 350059968001. The reversal of 350059968000 is 869950053.

350059968000 is a `hidden beast` number, since 3 + 50 + 0 + 599 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3500599680002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350059968001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5738687970 + ... + 5738688030.

It is an arithmetic number, because the mean of its divisors is an integer number (1064890827).

Almost surely, 2350059968000 is an apocalyptic number.

350059968000 is a gapful number since it is divisible by the number (30) 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 350059968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681530129280).

350059968000 is an abundant number, since it is smaller than the sum of its proper divisors (1013000290560).

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

350059968000 is an frugal number, since it uses more digits than its factorization.

350059968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 350059968000 in words is "three hundred fifty billion, fifty-nine million, nine hundred sixty-eight thousand".