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23514100000 = 2555475003
BaseRepresentation
bin10101111001100011…
…001011000100100000
32020200201221001012121
4111321203023010200
5341124102200000
614445140434024
71461462360256
oct257143130440
966621831177
1023514100000
119a771073a6
1246829a8914
1322a9740051
1411d0cb45d6
15929510b1a
hex5798cb120

23514100000 has 144 divisors (see below), whose sum is σ = 59105966976. Its totient is φ = 9203680000.

The previous prime is 23514099977. The next prime is 23514100003. The reversal of 23514100000 is 141532.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23514100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4697499 + ... + 4702501.

It is an arithmetic number, because the mean of its divisors is an integer number (410458104).

Almost surely, 223514100000 is an apocalyptic number.

23514100000 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 23514100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29552983488).

23514100000 is an abundant number, since it is smaller than the sum of its proper divisors (35591866976).

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

23514100000 is an frugal number, since it uses more digits than its factorization.

23514100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 23514100000 its reverse (141532), we get a palindrome (23514241532).

The spelling of 23514100000 in words is "twenty-three billion, five hundred fourteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3125 3760 4000 4700 5000 5003 5875 6250 7520 9400 10000 10006 11750 12500 18800 20000 20012 23500 25000 25015 29375 37600 40024 47000 50000 50030 58750 80048 94000 100000 100060 117500 125075 146875 160096 188000 200120 235000 235141 250150 293750 400240 470000 470282 500300 587500 625375 800480 940000 940564 1000600 1175000 1175705 1250750 1881128 2001200 2350000 2351410 2501500 3126875 3762256 4002400 4700000 4702820 5003000 5878525 6253750 7524512 9405640 10006000 11757050 12507500 15634375 18811280 20012000 23514100 25015000 29392625 31268750 37622560 47028200 50030000 58785250 62537500 94056400 100060000 117570500 125075000 146963125 188112800 235141000 250150000 293926250 470282000 500300000 587852500 734815625 940564000 1175705000 1469631250 2351410000 2939262500 4702820000 5878525000 11757050000 23514100000