Search a number
-
+
9955135590976 = 2652127572
BaseRepresentation
bin1001000011011101110001…
…0100100001001001000000
31022020200221111221010121201
42100313130110201021000
52301101104202402401
633101154241030544
72045143353224062
oct220673424411100
938220844833551
109955135590976
113198a49569534
121149456925454
135729c436c934
14265b8c8b7732
15123e51389b01
hex90ddc521240

9955135590976 has 63 divisors (see below), whose sum is σ = 19818892688907. Its totient is φ = 4961451156480.

The previous prime is 9955135590931. The next prime is 9955135590977. The reversal of 9955135590976 is 6790955315599.

The square root of 9955135590976 is 3155176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 101965262400 + 9853170328576 = 319320^2 + 3138976^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9955135590899 and 9955135590908.

It is not an unprimeable number, because it can be changed into a prime (9955135590977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13150773190 + ... + 13150773946.

Almost surely, 29955135590976 is an apocalyptic number.

9955135590976 is the 3155176-th square number.

It is an amenable number.

9955135590976 is a deficient number, since it is larger than the sum of its proper divisors (9863757097931).

9955135590976 is an frugal number, since it uses more digits than its factorization.

9955135590976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 516678750, while the sum is 73.

The spelling of 9955135590976 in words is "nine trillion, nine hundred fifty-five billion, one hundred thirty-five million, five hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 521 757 1042 1514 2084 3028 4168 6056 8336 12112 16672 24224 33344 48448 271441 394397 542882 573049 788794 1085764 1146098 1577588 2171528 2292196 3155176 4343056 4584392 6310352 8686112 9168784 12620704 17372224 18337568 25241408 36675136 205480837 298558529 410961674 597117058 821923348 1194234116 1643846696 2388468232 3287693392 4776936464 6575386784 9553872928 13150773568 19107745856 155548993609 311097987218 622195974436 1244391948872 2488783897744 4977567795488 9955135590976