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942032697312 = 25372400150053
BaseRepresentation
bin11011011010101011000…
…01100011011111100000
310100001112212201100020110
431231111201203133200
5110413240332303222
62000432554011320
7125026306544400
oct15552541433740
93301485640213
10942032697312
11333571998473
121326a4a16b40
136aaaa9c3635
1433847920800
15197876d430c
hexdb558637e0

942032697312 has 144 divisors (see below), whose sum is σ = 2877340575312. Its totient is φ = 269079552000.

The previous prime is 942032697271. The next prime is 942032697413. The reversal of 942032697312 is 213796230249.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18795678 + ... + 18845730.

It is an arithmetic number, because the mean of its divisors is an integer number (19981531773).

Almost surely, 2942032697312 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 942032697312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438670287656).

942032697312 is an abundant number, since it is smaller than the sum of its proper divisors (1935307878000).

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

942032697312 is a wasteful number, since it uses less digits than its factorization.

942032697312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54081 (or 54066 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 942032697312 in words is "nine hundred forty-two billion, thirty-two million, six hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4001 4704 8002 12003 16004 24006 28007 32008 48012 50053 56014 64016 84021 96024 100106 112028 128032 150159 168042 192048 196049 200212 224056 300318 336084 350371 384096 392098 400424 448112 588147 600636 672168 700742 784196 800848 896224 1051113 1176294 1201272 1344336 1401484 1568392 1601696 2102226 2352588 2402544 2452597 2688672 2802968 3136784 4204452 4705176 4805088 4905194 5605936 6273568 7357791 8408904 9410352 9810388 11211872 14715582 16817808 18820704 19620776 29431164 33635616 39241552 58862328 78483104 117724656 200262053 235449312 400524106 600786159 801048212 1201572318 1401834371 1602096424 2403144636 2803668742 3204192848 4205503113 4806289272 5607337484 6408385696 8411006226 9612578544 9812840597 11214674968 16822012452 19225157088 19625681194 22429349936 29438521791 33644024904 39251362388 44858699872 58877043582 67288049808 78502724776 117754087164 134576099616 157005449552 235508174328 314010899104 471016348656 942032697312