Search a number
-
+
1153052411532 = 2237219157657383
BaseRepresentation
bin10000110001110111010…
…001111000011010001100
311002020020012112111210120
4100301313101320122030
5122342422404132112
62241412134504540
7146206466533200
oct20616721703214
94066205474716
101153052411532
11405009031aaa
12167576b05150
138496a050468
143db45364b00
151eed82dde8c
hex10c7747868c

1153052411532 has 144 divisors (see below), whose sum is σ = 3315424170240. Its totient is φ = 310116014208.

The previous prime is 1153052411491. The next prime is 1153052411549. The reversal of 1153052411532 is 2351142503511.

It is a junction number, because it is equal to n+sod(n) for n = 1153052411493 and 1153052411502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425313 + ... + 2082695.

It is an arithmetic number, because the mean of its divisors is an integer number (23023778960).

Almost surely, 21153052411532 is an apocalyptic number.

1153052411532 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 1153052411532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657712085120).

1153052411532 is an abundant number, since it is smaller than the sum of its proper divisors (2162371758708).

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

1153052411532 is a wasteful number, since it uses less digits than its factorization.

1153052411532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657580 (or 657571 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 1153052411532 in words is "one trillion, one hundred fifty-three billion, fifty-two million, four hundred eleven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 157 196 228 266 294 314 399 471 532 588 628 798 931 942 1099 1596 1862 1884 2198 2793 2983 3297 3724 4396 5586 5966 6594 7693 8949 11172 11932 13188 15386 17898 20881 23079 30772 35796 41762 46158 62643 83524 92316 125286 146167 250572 292334 438501 584668 657383 877002 1314766 1754004 1972149 2629532 3944298 4601681 7888596 9203362 12490277 13805043 18406724 24980554 27610086 32211767 37470831 49961108 55220172 64423534 74941662 87431939 96635301 103209131 128847068 149883324 174863878 193270602 206418262 262295817 309627393 349727756 386541204 412836524 524591634 612023573 619254786 722463917 1049183268 1224047146 1238509572 1444927834 1836070719 1960973489 2167391751 2448094292 2889855668 3672141438 3921946978 4334783502 5057247419 5882920467 7344282876 7843893956 8669567004 10114494838 11765840934 13726814423 15171742257 20228989676 23531681868 27453628846 30343484514 41180443269 54907257692 60686969028 82360886538 96087700961 164721773076 192175401922 288263102883 384350803844 576526205766 1153052411532