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107721078071928 = 233412573299129119
BaseRepresentation
bin11000011111100011000100…
…100101111110001001111000
3112010102000221010212220022120
4120133203010211332021320
5103104400231441300203
61021034214033521240
731455406506656646
oct3037430445761170
9463360833786276
10107721078071928
113136128631a572
12100b9097113220
134815091a59bc9
141c85a298a6196
15c6c114795b53
hex61f8c497e278

107721078071928 has 128 divisors (see below), whose sum is σ = 277030575360000. Its totient is φ = 34884088954880.

The previous prime is 107721078071923. The next prime is 107721078071951. The reversal of 107721078071928 is 829170870127701.

107721078071928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107721078071923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834212953 + ... + 834342071.

It is an arithmetic number, because the mean of its divisors is an integer number (2164301370000).

Almost surely, 2107721078071928 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 107721078071928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138515287680000).

107721078071928 is an abundant number, since it is smaller than the sum of its proper divisors (169309497288072).

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

107721078071928 is a wasteful number, since it uses less digits than its factorization.

107721078071928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132725 (or 132721 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 60.

The spelling of 107721078071928 in words is "one hundred seven trillion, seven hundred twenty-one billion, seventy-eight million, seventy-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 257 328 492 514 771 984 1028 1542 2056 3084 3299 6168 6598 9897 10537 13196 19794 21074 26392 31611 39588 42148 63222 79176 84296 126444 129119 135259 252888 258238 270518 387357 405777 516476 541036 774714 811554 847843 1032952 1082072 1549428 1623108 1695686 2543529 3098856 3246216 3391372 5087058 5293879 6782744 10174116 10587758 15881637 20348232 21175516 31763274 33183583 34761563 42351032 63526548 66367166 69523126 99550749 104284689 127053096 132734332 139046252 199101498 208569378 265468664 278092504 398202996 417138756 425963581 796405992 834277512 851927162 1277890743 1360526903 1703854324 2555781486 2721053806 3407708648 4081580709 5111562972 5442107612 8163161418 10223125944 10884215224 16326322836 17464506821 32652645672 34929013642 52393520463 69858027284 104787040926 109472640317 139716054568 209574081852 218945280634 328417920951 419148163704 437890561268 656835841902 875781122536 1313671683804 2627343367608 4488378252997 8976756505994 13465134758991 17953513011988 26930269517982 35907026023976 53860539035964 107721078071928