Search a number
-
+
1121468292036 = 2231021792
BaseRepresentation
bin10000010100011100101…
…110000001101111000100
310222012201001110000000000
4100110130232001233010
5121333231340321121
62215110113321300
7144011013125151
oct20243456015704
93865631400000
101121468292036
113a2680683604
12161421566230
13819a5722961
143c3ca79b228
151e28a5a1526
hex1051cb81bc4

1121468292036 has 99 divisors (see below), whose sum is σ = 2945189272431. Its totient is φ = 373651206984.

The previous prime is 1121468292023. The next prime is 1121468292041. The reversal of 1121468292036 is 6302928641211.

The square root of 1121468292036 is 1058994.

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

1121468292036 is a `hidden beast` number, since 112 + 1 + 468 + 29 + 20 + 36 = 666.

It is a super-2 number, since 2×11214682920362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121468291982 and 1121468292000.

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 32 ways as a sum of consecutive naturals, for example, 514669995 + ... + 514672173.

Almost surely, 21121468292036 is an apocalyptic number.

1121468292036 is the 1058994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121468292036

1121468292036 is an abundant number, since it is smaller than the sum of its proper divisors (1823720980395).

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

1121468292036 is an frugal number, since it uses more digits than its factorization.

1121468292036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1121468292036 in words is "one trillion, one hundred twenty-one billion, four hundred sixty-eight million, two hundred ninety-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2179 2187 2916 4358 4374 6537 6561 8716 8748 13074 13122 19611 19683 26148 26244 39222 39366 58833 59049 78444 78732 117666 118098 176499 235332 236196 352998 529497 705996 1058994 1588491 2117988 3176982 4748041 4765473 6353964 9496082 9530946 14244123 14296419 18992164 19061892 28488246 28592838 42732369 42889257 56976492 57185676 85464738 85778514 128197107 128667771 170929476 171557028 256394214 257335542 384591321 512788428 514671084 769182642 1153773963 1538365284 2307547926 3461321889 4615095852 6922643778 10383965667 13845287556 20767931334 31151897001 41535862668 62303794002 93455691003 124607588004 186911382006 280367073009 373822764012 560734146018 1121468292036