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23450580480 = 293512724043
BaseRepresentation
bin10101110101110000…
…110111011000000000
32020112022101220210210
4111311300313120000
5341011322033410
614434551154120
71460061434205
oct256560673000
966468356723
1023450580480
119a44272228
124665675940
132299530132
1411c669bcac
15923b65220
hex575c37600

23450580480 has 160 divisors (see below), whose sum is σ = 75562020864. Its totient is φ = 6203990016.

The previous prime is 23450580479. The next prime is 23450580481. The reversal of 23450580480 is 8408505432.

It is an interprime number because it is at equal distance from previous prime (23450580479) and next prime (23450580481).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23450580481) 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, 963339 + ... + 987381.

Almost surely, 223450580480 is an apocalyptic number.

23450580480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23450580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37781010432).

23450580480 is an abundant number, since it is smaller than the sum of its proper divisors (52111440384).

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

23450580480 is a wasteful number, since it uses less digits than its factorization.

23450580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24196 (or 24180 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 23450580480 in words is "twenty-three billion, four hundred fifty million, five hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 256 320 381 384 480 508 512 635 640 762 768 960 1016 1270 1280 1524 1536 1905 1920 2032 2540 2560 3048 3810 3840 4064 5080 6096 7620 7680 8128 10160 12192 15240 16256 20320 24043 24384 30480 32512 40640 48086 48768 60960 65024 72129 81280 96172 97536 120215 121920 144258 162560 192344 195072 240430 243840 288516 325120 360645 384688 480860 487680 577032 721290 769376 961720 975360 1154064 1442580 1538752 1923440 2308128 2885160 3053461 3077504 3846880 4616256 5770320 6106922 6155008 7693760 9160383 9232512 11540640 12213844 12310016 15267305 15387520 18320766 18465024 23081280 24427688 30534610 30775040 36641532 36930048 45801915 46162560 48855376 61069220 61550080 73283064 91603830 92325120 97710752 122138440 146566128 183207660 184650240 195421504 244276880 293132256 366415320 390843008 488553760 586264512 732830640 781686016 977107520 1172529024 1465661280 1563372032 1954215040 2345058048 2931322560 3908430080 4690116096 5862645120 7816860160 11725290240 23450580480