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23054435320 = 2357282114327
BaseRepresentation
bin10101011110001001…
…101100001111111000
32012111200222122210211
4111132021230033320
5334203413412240
614331400320504
71444211316100
oct253611541770
965450878724
1023054435320
11986069a534
124574a73134
13223543b307
141189c1c200
158edeb3bea
hex55e26c3f8

23054435320 has 96 divisors (see below), whose sum is σ = 60419170080. Its totient is φ = 7894199040.

The previous prime is 23054435317. The next prime is 23054435321. The reversal of 23054435320 is 2353445032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23054435321) 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 23 ways as a sum of consecutive naturals, for example, 1601997 + ... + 1616323.

It is an arithmetic number, because the mean of its divisors is an integer number (629366355).

Almost surely, 223054435320 is an apocalyptic number.

23054435320 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 23054435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30209585040).

23054435320 is an abundant number, since it is smaller than the sum of its proper divisors (37364734760).

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

23054435320 is a wasteful number, since it uses less digits than its factorization.

23054435320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

The spelling of 23054435320 in words is "twenty-three billion, fifty-four million, four hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 821 980 1642 1960 3284 4105 5747 6568 8210 11494 14327 16420 22988 28654 28735 32840 40229 45976 57308 57470 71635 80458 100289 114616 114940 143270 160916 200578 201145 229880 286540 321832 401156 402290 501445 573080 702023 802312 804580 1002890 1404046 1609160 2005780 2808092 3510115 4011560 5616184 7020230 11762467 14040460 23524934 28080920 47049868 58812335 82337269 94099736 117624670 164674538 235249340 329349076 411686345 470498680 576360883 658698152 823372690 1152721766 1646745380 2305443532 2881804415 3293490760 4610887064 5763608830 11527217660 23054435320