Search a number
-
+
15383759025040 = 2457139223886247
BaseRepresentation
bin1101111111011100111101…
…1111011111001110010000
32000110200011121122201221021
43133313033133133032100
54004021414302300130
652415111253205224
73145303614114310
oct337671737371620
960420147581837
1015383759025040
1149a1240a0901a
121885585930814
138778b3ba2063
143b2813ad9440
151ba27831737a
hexdfdcf7df390

15383759025040 has 160 divisors (see below), whose sum is σ = 41355593072640. Its totient is φ = 5212998231552.

The previous prime is 15383759025017. The next prime is 15383759025043. The reversal of 15383759025040 is 4052095738351.

It is not an unprimeable number, because it can be changed into a prime (15383759025043) 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, 16915197 + ... + 17801443.

It is an arithmetic number, because the mean of its divisors is an integer number (258472456704).

Almost surely, 215383759025040 is an apocalyptic number.

15383759025040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15383759025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677796536320).

15383759025040 is an abundant number, since it is smaller than the sum of its proper divisors (25971834047600).

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

15383759025040 is a wasteful number, since it uses less digits than its factorization.

15383759025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886629 (or 886623 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 15383759025040 in words is "fifteen trillion, three hundred eighty-three billion, seven hundred fifty-nine million, twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 223 278 280 446 556 560 695 892 973 1112 1115 1390 1561 1784 1946 2224 2230 2780 3122 3568 3892 4460 4865 5560 6244 7784 7805 8920 9730 11120 12488 15568 15610 17840 19460 24976 30997 31220 38920 61994 62440 77840 123988 124880 154985 216979 247976 309970 433958 495952 619940 867916 886247 1084895 1239880 1735832 1772494 2169790 2479760 3471664 3544988 4339580 4431235 6203729 7089976 8679160 8862470 12407458 14179952 17358320 17724940 24814916 31018645 35449880 49629832 62037290 70899760 99259664 123188333 124074580 197633081 246376666 248149160 395266162 492753332 496298320 615941665 790532324 862318331 985506664 988165405 1231883330 1383431567 1581064648 1724636662 1971013328 1976330810 2463766660 2766863134 3162129296 3449273324 3952661620 4311591655 4927533320 5533726268 6898546648 6917157835 7905323240 8623183310 9855066640 11067452536 13797093296 13834315670 15810646480 17246366620 22134905072 27470998259 27668631340 34492733240 54941996518 55337262680 68985466480 109883993036 110674525360 137354991295 192296987813 219767986072 274709982590 384593975626 439535972144 549419965180 769187951252 961484939065 1098839930360 1538375902504 1922969878130 2197679860720 3076751805008 3845939756260 7691879512520 15383759025040