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9953212000 = 25535474549
BaseRepresentation
bin10010100010100000…
…11111011001100000
3221200122201120001111
421101100133121200
5130341010241000
64323351513104
7501435622534
oct112120373140
927618646044
109953212000
114248368546
121b19388794
13c280b8074
146a5c63bc4
153d3c19cba
hex25141f660

9953212000 has 96 divisors (see below), whose sum is σ = 24505135200. Its totient is φ = 3973132800.

The previous prime is 9953211991. The next prime is 9953212007. The reversal of 9953212000 is 2123599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953212007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185726 + ... + 2190274.

It is an arithmetic number, because the mean of its divisors is an integer number (255261825).

Almost surely, 29953212000 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 9953212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252567600).

9953212000 is an abundant number, since it is smaller than the sum of its proper divisors (14551923200).

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

9953212000 is a wasteful number, since it uses less digits than its factorization.

9953212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 9953212000 is about 99765.7857183514. The cubic root of 9953212000 is about 2151.0693796814.

Adding to 9953212000 its reverse (2123599), we get a palindrome (9955335599).

The spelling of 9953212000 in words is "nine billion, nine hundred fifty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 547 800 1000 1094 2000 2188 2735 4000 4376 4549 5470 8752 9098 10940 13675 17504 18196 21880 22745 27350 36392 43760 45490 54700 68375 72784 87520 90980 109400 113725 136750 145568 181960 218800 227450 273500 363920 437600 454900 547000 568625 727840 909800 1094000 1137250 1819600 2188000 2274500 2488303 3639200 4549000 4976606 9098000 9953212 12441515 18196000 19906424 24883030 39812848 49766060 62207575 79625696 99532120 124415150 199064240 248830300 311037875 398128480 497660600 622075750 995321200 1244151500 1990642400 2488303000 4976606000 9953212000