Search a number
-
+
23533888452 = 22319313978387
BaseRepresentation
bin10101111010101110…
…101010001111000100
32020202010011101212020
4111322232222033010
5341144133412302
614451124523140
71462122515454
oct257256521704
966663141766
1023533888452
119a872a2798
1246895504b0
1322b087b0a9
1411d3785d64
1592b11debc
hex57abaa3c4

23533888452 has 96 divisors (see below), whose sum is σ = 59824558080. Its totient is φ = 7173048960.

The previous prime is 23533888451. The next prime is 23533888487. The reversal of 23533888452 is 25488833532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23533888395 and 23533888404.

It is not an unprimeable number, because it can be changed into a prime (23533888451) by changing a digit.

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, 2801803 + ... + 2810189.

It is an arithmetic number, because the mean of its divisors is an integer number (623172480).

Almost surely, 223533888452 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 23533888452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29912279040).

23533888452 is an abundant number, since it is smaller than the sum of its proper divisors (36290669628).

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

23533888452 is a wasteful number, since it uses less digits than its factorization.

23533888452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8839 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The spelling of 23533888452 in words is "twenty-three billion, five hundred thirty-three million, eight hundred eighty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 397 589 794 1178 1191 1588 1767 2356 2382 3534 4764 7068 7543 8387 12307 15086 16774 22629 24614 25161 30172 33548 36921 45258 49228 50322 73842 90516 100644 147684 159353 233833 259997 318706 467666 478059 519994 637412 701499 779991 935332 956118 1039988 1402998 1559982 1912236 2805996 3119964 3329639 4939943 6659278 9879886 9988917 13318556 14819829 19759772 19977834 29639658 39955668 59279316 63263141 103218809 126526282 189789423 206437618 253052564 309656427 379578846 412875236 619312854 759157692 1238625708 1961157371 3922314742 5883472113 7844629484 11766944226 23533888452