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683749319940 = 2232517011223303
BaseRepresentation
bin10011111001100101010…
…00101010010100000100
32102100212122222022112200
421330302220222110010
542200304311214230
61242035440514500
7100253642216361
oct11746250522404
92370778868480
10683749319940
11243a817361a5
12b062231ba30
134c62879391b
1425144d5b468
1512bbc596160
hex9f32a2a504

683749319940 has 72 divisors (see below), whose sum is σ = 2074170815808. Its totient is φ = 182321616960.

The previous prime is 683749319899. The next prime is 683749319941. The reversal of 683749319940 is 49913947386.

683749319940 is a `hidden beast` number, since 68 + 37 + 493 + 19 + 9 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (683749319941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2950329 + ... + 3173631.

Almost surely, 2683749319940 is an apocalyptic number.

683749319940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

683749319940 is an abundant number, since it is smaller than the sum of its proper divisors (1390421495868).

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

683749319940 is a wasteful number, since it uses less digits than its factorization.

683749319940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240329 (or 240324 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 683749319940 in words is "six hundred eighty-three billion, seven hundred forty-nine million, three hundred nineteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17011 34022 51033 68044 85055 102066 153099 170110 204132 223303 255165 306198 340220 446606 510330 612396 669909 765495 893212 1020660 1116515 1339818 1530990 2009727 2233030 2679636 3061980 3349545 4019454 4466060 6699090 8038908 10048635 13398180 20097270 40194540 3798607333 7597214666 11395821999 15194429332 18993036665 22791643998 34187465997 37986073330 45583287996 56979109995 68374931994 75972146660 113958219990 136749863988 170937329985 227916439980 341874659970 683749319940