Search a number
-
+
23520728832 = 283237571759
BaseRepresentation
bin10101111001111100…
…011101011100000000
32020201012101211020220
4111321330131130000
5341132301310312
614445534503040
71461602616306
oct257174353400
966635354226
1023520728832
119a7a924777
124685064a80
1322aac21333
1411d1b1c276
15929dbec8c
hex579f1d700

23520728832 has 144 divisors (see below), whose sum is σ = 65444628480. Its totient is φ = 7485198336.

The previous prime is 23520728831. The next prime is 23520728867. The reversal of 23520728832 is 23882702532.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23520728831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13370769 + ... + 13372527.

Almost surely, 223520728832 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 23520728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32722314240).

23520728832 is an abundant number, since it is smaller than the sum of its proper divisors (41923899648).

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

23520728832 is a wasteful number, since it uses less digits than its factorization.

23520728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 23520728832 in words is "twenty-three billion, five hundred twenty million, seven hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 757 768 1104 1472 1514 1759 2208 2271 2944 3028 3518 4416 4542 5277 5888 6056 7036 8832 9084 10554 12112 14072 17411 17664 18168 21108 24224 28144 34822 36336 40457 42216 48448 52233 56288 69644 72672 80914 84432 96896 104466 112576 121371 139288 145344 161828 168864 193792 208932 225152 242742 278576 290688 323656 337728 417864 450304 485484 557152 581376 647312 675456 835728 970968 1114304 1294624 1331563 1350912 1671456 1941936 2228608 2589248 2663126 3342912 3883872 3994689 4457216 5178496 5326252 6685824 7767744 7989378 10356992 10652504 13371648 15535488 15978756 21305008 30625949 31070976 31957512 42610016 61251898 63915024 85220032 91877847 122503796 127830048 170440064 183755694 245007592 255660096 340880128 367511388 490015184 511320192 735022776 980030368 1022640384 1470045552 1960060736 2940091104 3920121472 5880182208 7840242944 11760364416 23520728832