Search a number
-
+
1151046745704 = 233331728323603
BaseRepresentation
bin10000101111111111101…
…110110111111001101000
311002001001102112010112000
4100233333232313321220
5122324320431330304
62240441130251000
7146106003623022
oct20577756677150
94061042463460
101151046745704
11404179975639
121670b7286a60
138470a67124b
143d9d4c33012
151ee1c1ac939
hex10bffbb7e68

1151046745704 has 128 divisors (see below), whose sum is σ = 3301085491200. Its totient is φ = 371238690240.

The previous prime is 1151046745703. The next prime is 1151046745721. The reversal of 1151046745704 is 4075476401511.

1151046745704 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 0 + 4 + 6 + 74 + 570 + 4 = 666.

It is a super-2 number, since 2×11510467457042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1151046745704.

It is not an unprimeable number, because it can be changed into a prime (1151046745703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48755167 + ... + 48778769.

It is an arithmetic number, because the mean of its divisors is an integer number (25789730400).

Almost surely, 21151046745704 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 1151046745704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650542745600).

1151046745704 is an abundant number, since it is smaller than the sum of its proper divisors (2150038745496).

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

1151046745704 is a wasteful number, since it uses less digits than its factorization.

1151046745704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30932 (or 30922 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1151046745704 in words is "one trillion, one hundred fifty-one billion, forty-six million, seven hundred forty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 7283 14566 21849 23603 29132 43698 47206 58264 65547 70809 87396 94412 131094 141618 174792 188824 196641 212427 225773 262188 283236 393282 424854 451546 524376 566472 637281 677319 731693 786564 849708 903092 1274562 1354638 1463386 1573128 1699416 1806184 2031957 2195079 2549124 2709276 2926772 4063914 4390158 5098248 5418552 5853544 6095871 6585237 8127828 8780316 12191742 13170474 16255656 17560632 19755711 24383484 26340948 39511422 48766968 52681896 79022844 158045688 171900649 343801298 515701947 687602596 1031403894 1375205192 1547105841 2062807788 3094211682 4125615576 4641317523 5328920119 6188423364 9282635046 10657840238 12376846728 15986760357 18565270092 21315680476 31973520714 37130540184 42631360952 47960281071 63947041428 95920562142 127894082856 143880843213 191841124284 287761686426 383682248568 575523372852 1151046745704