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8036011161136 = 247971078837829
BaseRepresentation
bin111010011110000011110…
…0101110011011000110000
31001110020100102201221010001
41310330013211303120300
52023130222324124021
625031405332115344
71456403563560220
oct164740745633060
931406312657101
108036011161136
112619064890632
12a99523a65b54
13463a3c46222a
141dad331a0080
15de07d67e091
hex74f07973630

8036011161136 has 160 divisors (see below), whose sum is σ = 18168352151040. Its totient is φ = 3372389572608.

The previous prime is 8036011161133. The next prime is 8036011161179. The reversal of 8036011161136 is 6311611106308.

It is a junction number, because it is equal to n+sod(n) for n = 8036011161095 and 8036011161104.

It is not an unprimeable number, because it can be changed into a prime (8036011161133) 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, 1026437670 + ... + 1026445498.

It is an arithmetic number, because the mean of its divisors is an integer number (113552200944).

Almost surely, 28036011161136 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 8036011161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9084176075520).

8036011161136 is an abundant number, since it is smaller than the sum of its proper divisors (10132340989904).

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

8036011161136 is a wasteful number, since it uses less digits than its factorization.

8036011161136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 8036011161136 in words is "eight trillion, thirty-six billion, eleven million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 97 107 112 194 214 388 428 679 749 776 856 883 1358 1498 1552 1712 1766 2716 2996 3532 5432 5992 6181 7064 7829 10379 10864 11984 12362 14128 15658 20758 24724 31316 41516 49448 54803 62632 72653 83032 85651 94481 98896 109606 125264 145306 166064 171302 188962 219212 290612 342604 377924 438424 581224 599557 661367 685208 755848 759413 837703 876848 1162448 1199114 1322734 1370416 1511696 1518826 1675406 2398228 2645468 3037652 3350812 4796456 5290936 5315891 5863921 6075304 6701624 6913007 9164657 9592912 10581872 10631782 11727842 12150608 13403248 13826014 18329314 21263564 23455684 27652028 36658628 42527128 46911368 48391049 55304056 64152599 73317256 81257191 85054256 93822736 96782098 110608112 128305198 146634512 162514382 193564196 256610396 325028764 387128392 513220792 568800337 650057528 670561679 739691749 774256784 1026441584 1137600674 1300115056 1341123358 1479383498 2275201348 2682246716 2958766996 4550402696 4693931753 5177842243 5364493432 5917533992 9100805392 9387863506 10355684486 10728986864 11835067984 18775727012 20711368972 37551454024 41422737944 71750099653 75102908048 82845475888 143500199306 287000398612 502250697571 574000797224 1004501395142 1148001594448 2009002790284 4018005580568 8036011161136