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37115416668 = 223111716799041
BaseRepresentation
bin100010100100010000…
…000101000001011100
310112210122012112001210
4202210100011001130
51102003021313133
625014532104420
72452516556601
oct424420050134
9115718175053
1037115416668
1114816759980
127239a65110
13366657ba15
141b2144a6a8
15e73640763
hex8a440505c

37115416668 has 96 divisors (see below), whose sum is σ = 100633010688. Its totient is φ = 10522009600.

The previous prime is 37115416631. The next prime is 37115416669. The reversal of 37115416668 is 86661451173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37115416669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325228 + ... + 424268.

It is an arithmetic number, because the mean of its divisors is an integer number (1048260528).

Almost surely, 237115416668 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 37115416668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50316505344).

37115416668 is an abundant number, since it is smaller than the sum of its proper divisors (63517594020).

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

37115416668 is a wasteful number, since it uses less digits than its factorization.

37115416668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99243 (or 99241 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 37115416668 in words is "thirty-seven billion, one hundred fifteen million, four hundred sixteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 167 187 204 334 374 501 561 668 748 1002 1122 1837 2004 2244 2839 3674 5511 5678 7348 8517 11022 11356 17034 22044 31229 34068 62458 93687 99041 124916 187374 198082 297123 374748 396164 594246 1089451 1188492 1683697 2178902 3268353 3367394 4357804 5051091 6536706 6734788 10102182 13073412 16539847 18520667 20204364 33079694 37041334 49619541 55562001 66159388 74082668 99239082 111124002 181938317 198478164 222248004 281177399 363876634 545814951 562354798 727753268 843532197 1091629902 1124709596 1687064394 2183259804 3092951389 3374128788 6185902778 9278854167 12371805556 18557708334 37115416668