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90113231578272 = 2537346938655829
BaseRepresentation
bin10100011111010100011111…
…001010000110010010100000
3102211001202000001021102211120
4110133110133022012102200
543302403344241001042
6515353240323212240
724660315612146250
oct2437243712062240
9384052001242746
1090113231578272
1126792896a84911
12a13466ab17080
133b38844b61616
14183770a151960
15a640ba50ddec
hex51f51f2864a0

90113231578272 has 96 divisors (see below), whose sum is σ = 270417631881600. Its totient is φ = 25739215008768.

The previous prime is 90113231578241. The next prime is 90113231578277. The reversal of 90113231578272 is 27287513231109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (90113231578277) 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, 16996747 + ... + 21659082.

It is an arithmetic number, because the mean of its divisors is an integer number (2816850332100).

Almost surely, 290113231578272 is an apocalyptic number.

It is an amenable number.

90113231578272 is an abundant number, since it is smaller than the sum of its proper divisors (180304400303328).

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

90113231578272 is a wasteful number, since it uses less digits than its factorization.

90113231578272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38659318 (or 38659310 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 90113231578272 in words is "ninety trillion, one hundred thirteen billion, two hundred thirty-one million, five hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3469 6938 10407 13876 20814 24283 27752 41628 48566 55504 72849 83256 97132 111008 145698 166512 194264 291396 333024 388528 582792 777056 1165584 2331168 38655829 77311658 115967487 154623316 231934974 270590803 309246632 463869948 541181606 618493264 811772409 927739896 1082363212 1236986528 1623544818 1855479792 2164726424 3247089636 3710959584 4329452848 6494179272 8658905696 12988358544 25976717088 134097070801 268194141602 402291212403 536388283204 804582424806 938679495607 1072776566408 1609164849612 1877358991214 2145553132816 2816038486821 3218329699224 3754717982428 4291106265632 5632076973642 6436659398448 7509435964856 11264153947284 12873318796896 15018871929712 22528307894568 30037743859424 45056615789136 90113231578272