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23390005248 = 211323734297
BaseRepresentation
bin10101110010001001…
…110010100000000000
32020101002102101012200
4111302021302200000
5340400320131443
614424544553200
71455424523061
oct256211624000
966332371180
1023390005248
119a13059155
124649322800
132289b113bc
1411bc610568
1591d69bdd3
hex572272800

23390005248 has 144 divisors (see below), whose sum is σ = 69382453140. Its totient is φ = 7585726464.

The previous prime is 23390005217. The next prime is 23390005279. The reversal of 23390005248 is 84250009332.

23390005248 is a `hidden beast` number, since 23 + 390 + 0 + 0 + 5 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (23390005217) and next prime (23390005279).

It can be written as a sum of positive squares in 2 ways, for example, as 17883177984 + 5506827264 = 133728^2 + 74208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664836 + ... + 699132.

Almost surely, 223390005248 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 23390005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34691226570).

23390005248 is an abundant number, since it is smaller than the sum of its proper divisors (45992447892).

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

23390005248 is a wasteful number, since it uses less digits than its factorization.

23390005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34362 (or 34339 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23390005248 in words is "twenty-three billion, three hundred ninety million, five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4608 4736 5328 6144 7104 9216 9472 10656 14208 18432 18944 21312 28416 34297 37888 42624 56832 68594 75776 85248 102891 113664 137188 170496 205782 227328 274376 308673 340992 411564 548752 617346 681984 823128 1097504 1234692 1268989 1646256 2195008 2469384 2537978 3292512 3806967 4390016 4938768 5075956 6585024 7613934 8780032 9877536 10151912 11420901 13170048 15227868 17560064 19755072 20303824 22841802 26340096 30455736 35120128 39510144 40607648 45683604 52680192 60911472 70240256 79020288 81215296 91367208 105360384 121822944 158040576 162430592 182734416 210720768 243645888 316081152 324861184 365468832 487291776 632162304 649722368 730937664 974583552 1299444736 1461875328 1949167104 2598889472 2923750656 3898334208 5847501312 7796668416 11695002624 23390005248