Search a number
-
+
68769221040 = 24325137347139
BaseRepresentation
bin100000000001011110…
…1110000100110110000
320120111122102101112200
41000002331300212300
52111314410033130
651331523023200
74653110506542
oct1000275604660
9216448371480
1068769221040
112718a483683
12113b280ab00
13663c467790
143485393692
151bc7545760
hex1002f709b0

68769221040 has 120 divisors (see below), whose sum is σ = 248715383280. Its totient is φ = 16927805952.

The previous prime is 68769221033. The next prime is 68769221047. The reversal of 68769221040 is 4012296786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68769221033) and next prime (68769221047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68769221047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3664210 + ... + 3682929.

It is an arithmetic number, because the mean of its divisors is an integer number (2072628194).

Almost surely, 268769221040 is an apocalyptic number.

68769221040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68769221040 is an abundant number, since it is smaller than the sum of its proper divisors (179946162240).

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

68769221040 is a wasteful number, since it uses less digits than its factorization.

68769221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347171 (or 7347162 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 68769221040 in words is "sixty-eight billion, seven hundred sixty-nine million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 7347139 14694278 22041417 29388556 36735695 44082834 58777112 66124251 73471390 88165668 95512807 110207085 117554224 132248502 146942780 176331336 191025614 220414170 264497004 286538421 293885560 330621255 352662672 382051228 440828340 477564035 528994008 573076842 587771120 661242510 764102456 859615263 881656680 955128070 1057988016 1146153684 1322485020 1432692105 1528204912 1719230526 1763313360 1910256140 2292307368 2644970040 2865384210 3438461052 3820512280 4298076315 4584614736 5289940080 5730768420 6876922104 7641024560 8596152630 11461536840 13753844208 17192305260 22923073680 34384610520 68769221040