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23073506632 = 231117672111091
BaseRepresentation
bin10101011111010010…
…011100010101001000
32012120000212120201201
4111133102130111020
5334223304203012
614333321153544
71444532366431
oct253722342510
965500776651
1023073506632
119870436050
12457b32b8b4
132239387b07
14118c584488
159009ce857
hex55f49c548

23073506632 has 128 divisors (see below), whose sum is σ = 51004961280. Its totient is φ = 9668736000.

The previous prime is 23073506569. The next prime is 23073506633. The reversal of 23073506632 is 23660537032.

It is a junction number, because it is equal to n+sod(n) for n = 23073506591 and 23073506600.

It is not an unprimeable number, because it can be changed into a prime (23073506633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21148407 + ... + 21149497.

It is an arithmetic number, because the mean of its divisors is an integer number (398476260).

Almost surely, 223073506632 is an apocalyptic number.

23073506632 is a gapful number since it is divisible by the number (22) 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 23073506632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25502480640).

23073506632 is an abundant number, since it is smaller than the sum of its proper divisors (27931454648).

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

23073506632 is a wasteful number, since it uses less digits than its factorization.

23073506632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 23073506632 in words is "twenty-three billion, seventy-three million, five hundred six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 67 68 88 134 136 187 211 268 374 422 536 737 748 844 1091 1139 1474 1496 1688 2182 2278 2321 2948 3587 4364 4556 4642 5896 7174 8728 9112 9284 12001 12529 14137 14348 18547 18568 24002 25058 28274 28696 37094 39457 48004 50116 56548 73097 74188 78914 96008 100232 113096 146194 148376 155507 157828 204017 230201 240329 292388 311014 315656 408034 460402 480658 584776 622028 804067 816068 920804 961316 1242649 1244056 1608134 1632136 1841608 1922632 2485298 2532211 2643619 3216268 3913417 4970596 5064422 5287238 6432536 7826834 9941192 10128844 10574476 13669139 15423467 15653668 20257688 21148952 27338278 30846934 31307336 43047587 54676556 61693868 86095174 109353112 123387736 169658137 172190348 262198939 339316274 344380696 524397878 678632548 1048795756 1357265096 2097591512 2884188329 5768376658 11536753316 23073506632