Search a number
-
+
350132921088 = 2831427319483
BaseRepresentation
bin1010001100001011000…
…11000110001100000000
31020110202100212021211020
411012011203012030000
521214033011433323
6424503203345440
734203422503206
oct5060543061400
91213670767736
10350132921088
111255439a6995
1257a36982280
132702c29a862
1412d37393076
159193a5cae3
hex51858c6300

350132921088 has 72 divisors (see below), whose sum is σ = 932520122688. Its totient is φ = 116628820992.

The previous prime is 350132921069. The next prime is 350132921141. The reversal of 350132921088 is 880129231053.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 936195 + ... + 1255677.

Almost surely, 2350132921088 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 350132921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466260061344).

350132921088 is an abundant number, since it is smaller than the sum of its proper divisors (582387201600).

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

350132921088 is a wasteful number, since it uses less digits than its factorization.

350132921088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320929 (or 320915 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 350132921088 in words is "three hundred fifty billion, one hundred thirty-two million, nine hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1427 2854 4281 5708 8562 11416 17124 22832 34248 45664 68496 91328 136992 182656 273984 319483 365312 547968 638966 958449 1095936 1277932 1916898 2555864 3833796 5111728 7667592 10223456 15335184 20446912 30670368 40893824 61340736 81787648 122681472 245362944 455902241 911804482 1367706723 1823608964 2735413446 3647217928 5470826892 7294435856 10941653784 14588871712 21883307568 29177743424 43766615136 58355486848 87533230272 116710973696 175066460544 350132921088