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23348451204 = 22341326532
BaseRepresentation
bin10101101111101011…
…010001011110000100
32020021012020012210000
4111233223101132010
5340304200414304
614420502201300
71454411363211
oct255753213604
966235205700
1023348451204
1199a1656a71
124637423230
132281322400
1411b6cb4b08
15919bde939
hex56fad1784

23348451204 has 135 divisors (see below), whose sum is σ = 66195192063. Its totient is φ = 7173137088.

The previous prime is 23348451197. The next prime is 23348451223. The reversal of 23348451204 is 40215484332.

The square root of 23348451204 is 152802.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9063420804 + 14285030400 = 95202^2 + 119520^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 35755342 + ... + 35755994.

Almost surely, 223348451204 is an apocalyptic number.

23348451204 is the 152802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23348451204

23348451204 is an abundant number, since it is smaller than the sum of its proper divisors (42846740859).

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

23348451204 is an equidigital number, since it uses as much as digits as its factorization.

23348451204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 23348451204 by its sum of digits (36), we get a square (840544243344 = 9168122).

23348451204 divided by its sum of digits (36) gives a square (648568089 = 254672).

It can be divided in two parts, 23348 and 451204, that added together give a cube (474552 = 783).

The spelling of 23348451204 in words is "twenty-three billion, three hundred forty-eight million, four hundred fifty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 653 676 702 1014 1053 1306 1404 1521 1959 2028 2106 2612 3042 3918 4212 4563 5877 6084 7836 8489 9126 11754 13689 16978 17631 18252 23508 25467 27378 33956 35262 50934 52893 54756 70524 76401 101868 105786 110357 152802 211572 220714 229203 305604 331071 426409 441428 458406 662142 687609 852818 916812 993213 1279227 1324284 1375218 1705636 1986426 2558454 2750436 2979639 3837681 3972852 5116908 5543317 5959278 7675362 8938917 11086634 11513043 11918556 15350724 16629951 17877834 22173268 23026086 33259902 34539129 35755668 46052172 49889853 66519804 69078258 72063121 99779706 138156516 144126242 149669559 199559412 216189363 288252484 299339118 432378726 449008677 598678236 648568089 864757452 898017354 1297136178 1796034708 1945704267 2594272356 3891408534 5837112801 7782817068 11674225602 23348451204