Search a number
-
+
1150051556016 = 2432111938212771
BaseRepresentation
bin10000101111000100011…
…010100001101010110000
311001221111001220020220200
4100233010122201222300
5122320301144243031
62240154300035200
7146042230635246
oct20570432415260
94057431806820
101150051556016
11403809137920
12166a79b32b00
13845ac4296cc
143d93c9b8796
151edaeb2b8e6
hex10bc46a1ab0

1150051556016 has 120 divisors (see below), whose sum is σ = 3695939307840. Its totient is φ = 330158332800.

The previous prime is 1150051555987. The next prime is 1150051556081. The reversal of 1150051556016 is 6106551500511.

It is a happy number.

1150051556016 is a `hidden beast` number, since 1 + 1 + 50 + 0 + 51 + 556 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 19076290 + ... + 19136481.

It is an arithmetic number, because the mean of its divisors is an integer number (30799494232).

Almost surely, 21150051556016 is an apocalyptic number.

1150051556016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1150051556016 is an abundant number, since it is smaller than the sum of its proper divisors (2545887751824).

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

1150051556016 is a wasteful number, since it uses less digits than its factorization.

1150051556016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38212815 (or 38212806 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 1150051556016 in words is "one trillion, one hundred fifty billion, fifty-one million, five hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 38212771 76425542 114638313 152851084 229276626 305702168 343914939 420340481 458553252 611404336 687829878 726042649 840680962 917106504 1261021443 1375659756 1452085298 1681361924 1834213008 2178127947 2522042886 2751319512 2904170596 3362723848 3783064329 4356255894 5044085772 5502639024 5808341192 6534383841 6725447696 7566128658 7986469139 8712511788 10088171544 11616682384 13068767682 15132257316 15972938278 17425023576 20176343088 23959407417 26137535364 30264514632 31945876556 34850047152 47918814834 52275070728 60529029264 63891753112 71878222251 95837629668 104550141456 127783506224 143756444502 191675259336 287512889004 383350518672 575025778008 1150051556016