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130428325248 = 27313157166417
BaseRepresentation
bin111100101111000100…
…0100100110110000000
3110110122202220102101220
41321132020210312000
54114104122401443
6135530135355040
712265064321004
oct1713610446600
9413582812356
10130428325248
1150350431241
1221340222a80
13c3b7852a20
146454324704
1535d576ea83
hex1e5e224d80

130428325248 has 128 divisors (see below), whose sum is σ = 375478948320. Its totient is φ = 39875936256.

The previous prime is 130428325231. The next prime is 130428325303. The reversal of 130428325248 is 842523824031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700536 + ... + 866952.

Almost surely, 2130428325248 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 130428325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187739474160).

130428325248 is an abundant number, since it is smaller than the sum of its proper divisors (245050623072).

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

130428325248 is a wasteful number, since it uses less digits than its factorization.

130428325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166604 (or 166592 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 130428325248 in words is "one hundred thirty billion, four hundred twenty-eight million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 157 192 208 312 314 384 416 471 624 628 832 942 1248 1256 1664 1884 2041 2496 2512 3768 4082 4992 5024 6123 7536 8164 10048 12246 15072 16328 20096 24492 30144 32656 48984 60288 65312 97968 130624 166417 195936 261248 332834 391872 499251 665668 783744 998502 1331336 1997004 2163421 2662672 3994008 4326842 5325344 6490263 7988016 8653684 10650688 12980526 15976032 17307368 21301376 25961052 26127469 31952064 34614736 51922104 52254938 63904128 69229472 78382407 103844208 104509876 138458944 156764814 207688416 209019752 276917888 313529628 339657097 415376832 418039504 627059256 679314194 830753664 836079008 1018971291 1254118512 1358628388 1672158016 2037942582 2508237024 2717256776 3344316032 4075885164 5016474048 5434513552 8151770328 10032948096 10869027104 16303540656 21738054208 32607081312 43476108416 65214162624 130428325248