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68821000640 = 265740577573
BaseRepresentation
bin100000000011000001…
…1010010000111000000
320120122020212001210122
41000012003102013000
52111421134010030
651341012515412
74654306565510
oct1000603220700
9216566761718
1068821000640
112720672a437
121140801bb68
13664a0c6bb2
14348c1d1840
151bcbd728e5
hex10060d21c0

68821000640 has 112 divisors (see below), whose sum is σ = 187362340032. Its totient is φ = 23586840576.

The previous prime is 68821000627. The next prime is 68821000673. The reversal of 68821000640 is 4600012886.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 68821000640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9083894 + ... + 9091466.

It is an arithmetic number, because the mean of its divisors is an integer number (1672878036).

Almost surely, 268821000640 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 68821000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93681170016).

68821000640 is an abundant number, since it is smaller than the sum of its proper divisors (118541339392).

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

68821000640 is a wasteful number, since it uses less digits than its factorization.

68821000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11654 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 68821000640 in words is "sixty-eight billion, eight hundred twenty-one million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4057 7573 8114 15146 16228 20285 28399 30292 32456 37865 40570 53011 56798 60584 64912 75730 81140 106022 113596 121168 129824 141995 151460 162280 212044 227192 242336 259648 265055 283990 302920 324560 424088 454384 484672 530110 567980 605840 649120 848176 908768 1060220 1135960 1211680 1298240 1696352 1817536 2120440 2271920 2423360 3392704 4240880 4543840 8481760 9087680 16963520 30723661 61447322 122894644 153618305 215065627 245789288 307236610 430131254 491578576 614473220 860262508 983157152 1075328135 1228946440 1720525016 1966314304 2150656270 2457892880 3441050032 4301312540 4915785760 6882100064 8602625080 9831571520 13764200128 17205250160 34410500320 68821000640