Search a number
-
+
25328619048720 = 24351314875459413
BaseRepresentation
bin1011100001001010001110…
…10101110100111100010000
310022200101121000021222011110
411300211013111310330100
511304441002434024340
6125511450145213320
75222634535430301
oct560450725647420
9108611530258143
1025328619048720
118085897156779
122a10a33331240
13111962b42c650
14637ca99da7a8
152ddcc750e680
hex170947574f10

25328619048720 has 160 divisors (see below), whose sum is σ = 84615501261312. Its totient is φ = 6230543026176.

The previous prime is 25328619048661. The next prime is 25328619048739. The reversal of 25328619048720 is 2784091682352.

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, 1909734 + ... + 7369146.

It is a 1-persistent number, because it is pandigital, but 2⋅25328619048720 = 50657238097440 is not.

Almost surely, 225328619048720 is an apocalyptic number.

25328619048720 is a gapful number since it is divisible by the number (20) 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 25328619048720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42307750630656).

25328619048720 is an abundant number, since it is smaller than the sum of its proper divisors (59286882212592).

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

25328619048720 is a wasteful number, since it uses less digits than its factorization.

25328619048720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460929 (or 5460923 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 25328619048720 in words is "twenty-five trillion, three hundred twenty-eight billion, six hundred nineteen million, forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1487 1560 2974 3120 4461 5948 7435 8922 11896 14870 17844 19331 22305 23792 29740 35688 38662 44610 57993 59480 71376 77324 89220 96655 115986 118960 154648 178440 193310 231972 289965 309296 356880 386620 463944 579930 773240 927888 1159860 1546480 2319720 4639440 5459413 10918826 16378239 21837652 27297065 32756478 43675304 54594130 65512956 70972369 81891195 87350608 109188260 131025912 141944738 163782390 212917107 218376520 262051824 283889476 327564780 354861845 425834214 436753040 567778952 655129560 709723690 851668428 1064585535 1135557904 1310259120 1419447380 1703336856 2129171070 2838894760 3406673712 4258342140 5677789520 8118147131 8516684280 16236294262 17033368560 24354441393 32472588524 40590735655 48708882786 64945177048 81181471310 97417765572 105535912703 121772206965 129890354096 162362942620 194835531144 211071825406 243544413930 316607738109 324725885240 389671062288 422143650812 487088827860 527679563515 633215476218 649451770480 844287301624 974177655720 1055359127030 1266430952436 1583038690545 1688574603248 1948355311440 2110718254060 2532861904872 3166077381090 4221436508120 5065723809744 6332154762180 8442873016240 12664309524360 25328619048720