Search a number
-
+
1150536445152 = 253101588120177
BaseRepresentation
bin10000101111100001010…
…100001110110011100000
311001222201212022011202120
4100233201110032303200
5122322244312221102
62240314340544240
7146060236265223
oct20574124166340
94058655264676
101150536445152
11403a37913246
12166b943b2080
1384658a20863
143d9871595ba
151eddc4ac6bc
hex10be150ece0

1150536445152 has 96 divisors (see below), whose sum is σ = 3050730545184. Its totient is φ = 379631616000.

The previous prime is 1150536445141. The next prime is 1150536445199. The reversal of 1150536445152 is 2515446350511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11505364451522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57012088 + ... + 57032264.

It is an arithmetic number, because the mean of its divisors is an integer number (31778443179).

Almost surely, 21150536445152 is an apocalyptic number.

1150536445152 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 1150536445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525365272592).

1150536445152 is an abundant number, since it is smaller than the sum of its proper divisors (1900194100032).

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

1150536445152 is a wasteful number, since it uses less digits than its factorization.

1150536445152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26172 (or 26164 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 1150536445152 in words is "one trillion, one hundred fifty billion, five hundred thirty-six million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 5881 9696 11762 17643 20177 23524 35286 40354 47048 60531 70572 80708 94096 121062 141144 161416 188192 242124 282288 322832 484248 564576 593981 645664 968496 1187962 1781943 1936992 2037877 2375924 3563886 4075754 4751848 6113631 7127772 8151508 9503696 12227262 14255544 16303016 19007392 24454524 28511088 32606032 48909048 57022176 65212064 97818096 118660937 195636192 237321874 355982811 474643748 711965622 949287496 1423931244 1898574992 2847862488 3797149984 5695724976 11391449952 11984754637 23969509274 35954263911 47939018548 71908527822 95878037096 143817055644 191756074192 287634111288 383512148384 575268222576 1150536445152