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1158132135636 = 2232729271584777
BaseRepresentation
bin10000110110100110000…
…011011111011011010100
311002201100012221020021100
4100312212003133123110
5122433323311320021
62244012154550100
7146446410504360
oct20664603373324
94081305836240
101158132135636
114071854419a3
12168554138330
1385299573978
14400a7c5a2a0
15201d4242626
hex10da60df6d4

1158132135636 has 144 divisors (see below), whose sum is σ = 3473862013440. Its totient is φ = 318305272320.

The previous prime is 1158132135617. The next prime is 1158132135661. The reversal of 1158132135636 is 6365312318511.

1158132135636 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 1 + 3 + 2 + 1 + 3 + 5 + 636 = 666.

It is a super-2 number, since 2×11581321356362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1158132135591 and 1158132135600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1688080 + ... + 2272856.

It is an arithmetic number, because the mean of its divisors is an integer number (24124041760).

Almost surely, 21158132135636 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 1158132135636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736931006720).

1158132135636 is an abundant number, since it is smaller than the sum of its proper divisors (2315729877804).

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

1158132135636 is a wasteful number, since it uses less digits than its factorization.

1158132135636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585094 (or 585089 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 1158132135636 in words is "one trillion, one hundred fifty-eight billion, one hundred thirty-two million, one hundred thirty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 271 348 406 522 542 609 812 813 1044 1084 1218 1626 1827 1897 2436 2439 3252 3654 3794 4878 5691 7308 7588 7859 9756 11382 15718 17073 22764 23577 31436 34146 47154 55013 68292 70731 94308 110026 141462 165039 220052 282924 330078 495117 584777 660156 990234 1169554 1754331 1980468 2339108 3508662 4093439 5262993 7017324 8186878 10525986 12280317 16373756 16958533 21051972 24560634 33917066 36840951 49121268 50875599 67834132 73681902 101751198 118709731 147363804 152626797 158474567 203502396 237419462 305253594 316949134 356129193 474838924 475423701 610507188 633898268 712258386 950847402 1068387579 1109321969 1424516772 1426271103 1901694804 2136775158 2218643938 2852542206 3327965907 4273550316 4437287876 4595762443 5705084412 6655931814 9191524886 9983897721 13311863628 13787287329 18383049772 19967795442 27574574658 32170337101 39935590884 41361861987 55149149316 64340674202 82723723974 96511011303 128681348404 165447447948 193022022606 289533033909 386044045212 579066067818 1158132135636