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23534473400 = 23521092394517
BaseRepresentation
bin10101111010110000…
…111001000010111000
32020202011021010020222
4111322300321002320
5341144311122100
614451145235212
71462130503034
oct257260710270
966664233228
1023534473400
119a87662219
124689792b08
1322b0a24409
1411d38991c4
1592b1d7485
hex57ac390b8

23534473400 has 96 divisors (see below), whose sum is σ = 55462968000. Its totient is φ = 9286341120.

The previous prime is 23534473393. The next prime is 23534473409. The reversal of 23534473400 is 437443532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23534473409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5207942 + ... + 5212458.

It is an arithmetic number, because the mean of its divisors is an integer number (577739250).

Almost surely, 223534473400 is an apocalyptic number.

23534473400 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 23534473400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27731484000).

23534473400 is an abundant number, since it is smaller than the sum of its proper divisors (31928494600).

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

23534473400 is a wasteful number, since it uses less digits than its factorization.

23534473400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 35.

The spelling of 23534473400 in words is "twenty-three billion, five hundred thirty-four million, four hundred seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 239 436 478 545 872 956 1090 1195 1912 2180 2390 2725 4360 4517 4780 5450 5975 9034 9560 10900 11950 18068 21800 22585 23900 26051 36136 45170 47800 52102 90340 104204 112925 130255 180680 208408 225850 260510 451700 492353 521020 651275 903400 984706 1042040 1079563 1302550 1969412 2159126 2461765 2605100 3938824 4318252 4923530 5210200 5397815 8636504 9847060 10795630 12308825 19694120 21591260 24617650 26989075 43182520 49235300 53978150 98470600 107956300 117672367 215912600 235344734 470689468 588361835 941378936 1176723670 2353447340 2941809175 4706894680 5883618350 11767236700 23534473400