Search a number
-
+
3942897262928 = 2413316131332027
BaseRepresentation
bin111001011000000110111…
…111011010000101010000
3111221221022021211002202022
4321120012333122011100
51004100023144403203
612215201512111012
7554602445516111
oct71300677320520
914857267732668
103942897262928
11129019a794088
125381b0395468
13227a76691510
14d8ba158c208
156c86cca5a38
hex39606fda150

3942897262928 has 160 divisors (see below), whose sum is σ = 8659461092352. Its totient is φ = 1726636953600.

The previous prime is 3942897262919. The next prime is 3942897262951. The reversal of 3942897262928 is 8292627982493.

It is a Cunningham number, because it is equal to 19856732-1.

It is a super-2 number, since 2×39428972629282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123095651 + ... + 123127677.

Almost surely, 23942897262928 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 3942897262928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329730546176).

3942897262928 is an abundant number, since it is smaller than the sum of its proper divisors (4716563829424).

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

3942897262928 is a wasteful number, since it uses less digits than its factorization.

3942897262928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32453 (or 32447 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 71.

The spelling of 3942897262928 in words is "three trillion, nine hundred forty-two billion, eight hundred ninety-seven million, two hundred sixty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 61 62 104 122 124 208 244 248 313 403 488 496 626 793 806 976 1252 1586 1612 1891 2504 3172 3224 3782 4069 5008 6344 6448 7564 8138 9703 12688 15128 16276 19093 19406 24583 30256 32027 32552 38186 38812 49166 64054 65104 76372 77624 98332 126139 128108 152744 155248 196664 248209 252278 256216 305488 393328 416351 496418 504556 512432 591883 832702 992836 992837 1009112 1183766 1665404 1953647 1985672 1985674 2018224 2367532 3330808 3907294 3971344 3971348 4735064 6661616 7694479 7814588 7942696 9470128 10024451 12906881 15388958 15629176 15885392 20048902 25397411 25813762 30777916 31258352 40097804 50794822 51627524 60563057 61555832 80195608 101589644 103255048 121126114 123111664 130317863 160391216 203179288 206510096 242252228 260635726 310757981 406358576 484504456 521271452 611491511 621515962 787319741 969008912 1042542904 1222983022 1243031924 1574639482 2085085808 2445966044 2486063848 3149278964 4039853753 4891932088 4972127696 6298557928 7949389643 8079707506 9783864176 12597115856 15898779286 16159415012 18956236841 31797558572 32318830024 37912473682 63595117144 64637660048 75824947364 127190234288 151649894728 246431078933 303299789456 492862157866 985724315732 1971448631464 3942897262928