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88080045119232 = 2831721221330113
BaseRepresentation
bin10100000001101110111011…
…110011010001011100000000
3102112212100222210020210102220
4110001232323303101130000
543021100413022303412
6511155225241211040
724360400425330255
oct2401567363213400
9375770883223386
1088080045119232
11260795a0256181
129a66604a90a80
133a1bbb3027b4a
1417a714dd9542c
15a2b26dcd168c
hex501bbbcd1700

88080045119232 has 144 divisors (see below), whose sum is σ = 234671365924128. Its totient is φ = 29328721838080.

The previous prime is 88080045119191. The next prime is 88080045119327. The reversal of 88080045119232 is 23291154008088.

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, 2924969008 + ... + 2924999120.

It is an arithmetic number, because the mean of its divisors is an integer number (1629662263362).

Almost surely, 288080045119232 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 88080045119232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117335682962064).

88080045119232 is an abundant number, since it is smaller than the sum of its proper divisors (146591320804896).

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

88080045119232 is a wasteful number, since it uses less digits than its factorization.

88080045119232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34066 (or 34052 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 88080045119232 in words is "eighty-eight trillion, eighty billion, forty-five million, one hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1721 2213 3442 4426 5163 6639 6884 8852 10326 13278 13768 17704 20652 26556 27536 30113 35408 41304 53112 55072 60226 70816 82608 90339 106224 110144 120452 141632 165216 180678 212448 220288 240904 283264 330432 361356 424896 440576 481808 566528 660864 722712 849792 963616 1321728 1445424 1699584 1927232 2890848 3808573 3854464 5781696 7617146 7708928 11425719 11563392 15234292 22851438 23126784 30468584 45702876 51824473 60937168 66640069 91405752 103648946 121874336 133280138 155473419 182811504 199920207 207297892 243748672 266560276 310946838 365623008 399840414 414595784 487497344 533120552 621893676 731246016 799680828 829191568 974994688 1066241104 1243787352 1462492032 1599361656 1658383136 2132482208 2487574704 2924984064 3198723312 3316766272 4264964416 4975149408 6397446624 6633532544 8529928832 9950298816 12794893248 13267065088 17059857664 19900597632 25589786496 39801195264 51179572992 114687558749 229375117498 344062676247 458750234996 688125352494 917500469992 1376250704988 1835000939984 2752501409976 3670001879968 5505002819952 7340003759936 11010005639904 14680007519872 22020011279808 29360015039744 44040022559616 88080045119232