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3721142026968 = 2331312394952173
BaseRepresentation
bin110110001001100101010…
…110010100001011011000
3111011201220210012220220220
4312021211112110023120
5441431344324330333
611525245151520040
7532562240230152
oct66114526241330
914151823186826
103721142026968
111205144734133
12501222b29020
1320cb9614b772
14cc166041ad2
1566bde9508b3
hex362655942d8

3721142026968 has 64 divisors (see below), whose sum is σ = 9413092339200. Its totient is φ = 1225761613440.

The previous prime is 3721142026913. The next prime is 3721142027003. The reversal of 3721142026968 is 8696202411273.

It is a Sastry number since concatenated with its successor gives a square.

It is a self number, because there is not a number n which added to its sum of digits gives 3721142026968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724671 + ... + 3227502.

It is an arithmetic number, because the mean of its divisors is an integer number (147079567800).

Almost surely, 23721142026968 is an apocalyptic number.

It is an amenable number.

3721142026968 is an abundant number, since it is smaller than the sum of its proper divisors (5691950312232).

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

3721142026968 is a wasteful number, since it uses less digits than its factorization.

3721142026968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952552 (or 4952548 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 3721142026968 in words is "three trillion, seven hundred twenty-one billion, one hundred forty-two million, twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 131 239 262 393 478 524 717 786 956 1048 1434 1572 1912 2868 3144 5736 31309 62618 93927 125236 187854 250472 375708 751416 4952173 9904346 14856519 19808692 29713038 39617384 59426076 118852152 648734663 1183569347 1297469326 1946203989 2367138694 2594938652 3550708041 3892407978 4734277388 5189877304 7101416082 7784815956 9468554776 14202832164 15569631912 28405664328 155047584457 310095168914 465142753371 620190337828 930285506742 1240380675656 1860571013484 3721142026968