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23480824052 = 22729731792213
BaseRepresentation
bin10101110111100100…
…001111000011110100
32020121102022110012002
4111313210033003310
5341042042332202
614441551314432
71460606465660
oct256744170364
966542273162
1023480824052
119a5a349714
12467381ba18
1322a288bc3a
1411ca6d18a0
1592663b302
hex57790f0f4

23480824052 has 96 divisors (see below), whose sum is σ = 49544006400. Its totient is φ = 9525261312.

The previous prime is 23480824021. The next prime is 23480824061. The reversal of 23480824052 is 25042808432.

It is a junction number, because it is equal to n+sod(n) for n = 23480823997 and 23480824015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10609298 + ... + 10611510.

It is an arithmetic number, because the mean of its divisors is an integer number (516083400).

Almost surely, 223480824052 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 23480824052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772003200).

23480824052 is an abundant number, since it is smaller than the sum of its proper divisors (26063182348).

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

23480824052 is a wasteful number, since it uses less digits than its factorization.

23480824052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 23480824052 in words is "twenty-three billion, four hundred eighty million, eight hundred twenty-four thousand, fifty-two".

Divisors: 1 2 4 7 14 28 29 58 73 116 146 179 203 292 358 406 511 716 812 1022 1253 2044 2117 2213 2506 4234 4426 5012 5191 8468 8852 10382 13067 14819 15491 20764 26134 29638 30982 36337 52268 59276 61964 64177 72674 91469 128354 145348 161549 182938 256708 323098 365876 378943 396127 449239 646196 757886 792254 898478 1130843 1515772 1584508 1796956 2261686 2652601 2772889 4523372 4684921 5305202 5545778 9369842 10610404 11091556 11487683 18739684 22975366 28917271 32794447 45950732 57834542 65588894 80413781 115669084 131177788 160827562 202420897 321655124 404841794 809683588 838600859 1677201718 3354403436 5870206013 11740412026 23480824052