Search a number
-
+
1090537296012 = 2232233146790977
BaseRepresentation
bin11111101111010010001…
…01101001000010001100
310212020212102022121011200
433313221011221002030
5120331410021433022
62152552542545500
7141534350033163
oct17675105510214
93766772277150
101090537296012
1139054896747a
1215742a898290
137bab6500a48
143aad48483da
151d579d76bac
hexfde916908c

1090537296012 has 144 divisors (see below), whose sum is σ = 2975670577152. Its totient is φ = 335766942720.

The previous prime is 1090537296011. The next prime is 1090537296059. The reversal of 1090537296012 is 2106927350901.

It is a happy number.

1090537296012 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 5 + 37 + 2 + 9 + 601 + 2 = 666.

1090537296012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10905372960122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1090537296011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11941468 + ... + 12032444.

It is an arithmetic number, because the mean of its divisors is an integer number (20664379008).

Almost surely, 21090537296012 is an apocalyptic number.

1090537296012 is a gapful number since it is divisible by the number (12) 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 1090537296012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487835288576).

1090537296012 is an abundant number, since it is smaller than the sum of its proper divisors (1885133281140).

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

1090537296012 is a wasteful number, since it uses less digits than its factorization.

1090537296012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91508 (or 91503 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1090537296012 in words is "one trillion, ninety billion, five hundred thirty-seven million, two hundred ninety-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 467 558 713 828 934 1116 1401 1426 1868 2139 2802 2852 4203 4278 5604 6417 8406 8556 10741 12834 14477 16812 21482 25668 28954 32223 42964 43431 57908 64446 86862 90977 96669 128892 130293 173724 181954 193338 260586 272931 332971 363908 386676 521172 545862 665942 818793 998913 1091724 1331884 1637586 1997826 2092471 2820287 2996739 3275172 3995652 4184942 5640574 5993478 6277413 8369884 8460861 11281148 11986956 12554826 16921722 18832239 25109652 25382583 33843444 37664478 42486259 50765166 64866601 75328956 84972518 101530332 127458777 129733202 169945036 194599803 254917554 259466404 382376331 389199606 509835108 583799409 764752662 778399212 977183957 1167598818 1317074029 1529505324 1954367914 2335197636 2634148058 2931551871 3908735828 3951222087 5268296116 5863103742 7902444174 8794655613 11726207484 11853666261 15804888348 17589311226 23707332522 30292702667 35178622452 47414665044 60585405334 90878108001 121170810668 181756216002 272634324003 363512432004 545268648006 1090537296012