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89026801152 = 2931711532957
BaseRepresentation
bin101001011101001101…
…0010010111000000000
322111210102122002021120
41102322122102320000
52424311330114102
6104522013152240
76301111216062
oct1227232227000
9274712562246
1089026801152
1134835343423
1215306a8b680
13851a30a083
144447969732
1524b0be16bc
hex14ba692e00

89026801152 has 160 divisors (see below), whose sum is σ = 251427112992. Its totient is φ = 27896315904.

The previous prime is 89026801111. The next prime is 89026801159. The reversal of 89026801152 is 25110862098.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89026801159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30105658 + ... + 30108614.

Almost surely, 289026801152 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 89026801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125713556496).

89026801152 is an abundant number, since it is smaller than the sum of its proper divisors (162400311840).

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

89026801152 is a wasteful number, since it uses less digits than its factorization.

89026801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 89026801152 in words is "eighty-nine billion, twenty-six million, eight hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1153 1536 1632 2176 2306 2957 3264 3459 4352 4612 5914 6528 6918 8704 8871 9224 11828 13056 13836 17742 18448 19601 23656 26112 27672 35484 36896 39202 47312 50269 55344 58803 70968 73792 78404 94624 100538 110688 117606 141936 147584 150807 156808 189248 201076 221376 235212 283872 295168 301614 313616 378496 402152 442752 470424 567744 590336 603228 627232 756992 804304 885504 940848 1135488 1206456 1254464 1513984 1608608 1771008 1881696 2270976 2412912 2508928 3217216 3409421 3763392 4541952 4825824 5017856 6434432 6818842 7526784 9651648 10035712 10228263 12868864 13637684 15053568 19303296 20456526 25737728 27275368 30107136 38606592 40913052 54550736 57960157 77213184 81826104 109101472 115920314 163652208 173880471 218202944 231840628 327304416 347760942 436405888 463681256 654608832 695521884 872811776 927362512 1309217664 1391043768 1745623552 1854725024 2618435328 2782087536 3709450048 5236870656 5564175072 7418900096 11128350144 14837800192 22256700288 29675600384 44513400576 89026801152