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95412950752 = 25713714592131
BaseRepresentation
bin101100011011100001…
…1100001011011100000
3100010021111022002121211
41120313003201123200
53030401203411002
6111455422355504
76615264462040
oct1306703413340
9303244262554
1095412950752
113751213a109
12165a972bb94
138cc73a8112
144891b75720
1527366a3dd7
hex16370e16e0

95412950752 has 96 divisors (see below), whose sum is σ = 216495901440. Its totient is φ = 40545930240.

The previous prime is 95412950747. The next prime is 95412950753. The reversal of 95412950752 is 25705921459.

It is a junction number, because it is equal to n+sod(n) for n = 95412950696 and 95412950705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95412950753) 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 15 ways as a sum of consecutive naturals, for example, 44772727 + ... + 44774857.

It is an arithmetic number, because the mean of its divisors is an integer number (2255165640).

Almost surely, 295412950752 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 95412950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108247950720).

95412950752 is an abundant number, since it is smaller than the sum of its proper divisors (121082950688).

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

95412950752 is a wasteful number, since it uses less digits than its factorization.

95412950752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 95412950752 in words is "ninety-five billion, four hundred twelve million, nine hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1459 1918 2131 2192 2918 3836 4262 4384 5836 7672 8524 10213 11672 14917 15344 17048 20426 23344 29834 30688 34096 40852 46688 59668 68192 81704 119336 163408 199883 238672 291947 326816 399766 477344 583894 799532 1167788 1399181 1599064 2043629 2335576 2798362 3109129 3198128 4087258 4671152 5596724 6218258 6396256 8174516 9342304 11193448 12436516 16349032 21763903 22386896 24873032 32698064 43527806 44773792 49746064 65396128 87055612 99492128 174111224 348222448 425950673 696444896 851901346 1703802692 2981654711 3407605384 5963309422 6815210768 11926618844 13630421536 23853237688 47706475376 95412950752