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32152113412000 = 255377571036229
BaseRepresentation
bin1110100111101111111110…
…10011000111011110100000
311012211201020001202120120021
413103313333103013132200
513203240012013141000
6152214251010323224
76525625225512451
oct723677723073640
9135751201676507
1032152113412000
11a2766a88a977a
123733365889514
1314c2c150584ca
147d2256169128
153ab53c19c11a
hex1d3dff4c77a0

32152113412000 has 96 divisors (see below), whose sum is σ = 79008002957520. Its totient is φ = 12859174988800.

The previous prime is 32152113411983. The next prime is 32152113412033. The reversal of 32152113412000 is 21431125123.

It can be written as a sum of positive squares in 8 ways, for example, as 10937651212944 + 21214462199056 = 3307212^2 + 4605916^2 .

It is a super-2 number, since 2×321521134120002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 30509886 + ... + 31546114.

Almost surely, 232152113412000 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 32152113412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39504001478760).

32152113412000 is an abundant number, since it is smaller than the sum of its proper divisors (46855889545520).

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

32152113412000 is a wasteful number, since it uses less digits than its factorization.

32152113412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044011 (or 1043993 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 32152113412000 its reverse (21431125123), we get a palindrome (32173544537123).

The spelling of 32152113412000 in words is "thirty-two trillion, one hundred fifty-two billion, one hundred thirteen million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7757 15514 31028 38785 62056 77570 124112 155140 193925 248224 310280 387850 620560 775700 969625 1036229 1241120 1551400 1939250 2072458 3102800 3878500 4144916 5181145 6205600 7757000 8289832 10362290 15514000 16579664 20724580 25905725 31028000 33159328 41449160 51811450 82898320 103622900 129528625 165796640 207245800 259057250 414491600 518114500 828983200 1036229000 2072458000 4144916000 8038028353 16076056706 32152113412 40190141765 64304226824 80380283530 128608453648 160760567060 200950708825 257216907296 321521134120 401901417650 643042268240 803802835300 1004753544125 1286084536480 1607605670600 2009507088250 3215211341200 4019014176500 6430422682400 8038028353000 16076056706000 32152113412000