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95374520064 = 283333141687
BaseRepresentation
bin101100011010011000…
…0111010111100000000
3100010011210222121122000
41120310300322330000
53030311334120224
6111451530544000
76614320021155
oct1306460727400
9303153877560
1095374520064
11374a248060a
1216598898000
138cbc440975
14488aa1022c
1527331120c9
hex1634c3af00

95374520064 has 144 divisors (see below), whose sum is σ = 282898103040. Its totient is φ = 31694699520.

The previous prime is 95374520053. The next prime is 95374520149. The reversal of 95374520064 is 46002547359.

95374520064 is a `hidden beast` number, since 9 + 53 + 74 + 520 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×953745200643 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267029 + ... + 2308715.

It is an arithmetic number, because the mean of its divisors is an integer number (1964570160).

Almost surely, 295374520064 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 95374520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141449051520).

95374520064 is an abundant number, since it is smaller than the sum of its proper divisors (187523582976).

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

95374520064 is a wasteful number, since it uses less digits than its factorization.

95374520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42043 (or 42023 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 95374520064 in words is "ninety-five billion, three hundred seventy-four million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 331 384 432 576 662 768 864 993 1152 1324 1728 1986 2304 2648 2979 3456 3972 5296 5958 6912 7944 8937 10592 11916 15888 17874 21184 23832 31776 35748 41687 42368 47664 63552 71496 83374 84736 95328 125061 127104 142992 166748 190656 250122 254208 285984 333496 375183 381312 500244 571968 666992 750366 762624 1000488 1125549 1143936 1333984 1500732 2000976 2251098 2287872 2667968 3001464 4001952 4502196 5335936 6002928 8003904 9004392 10671872 12005856 13798397 16007808 18008784 24011712 27596794 32015616 36017568 41395191 48023424 55193588 72035136 82790382 96046848 110387176 124185573 144070272 165580764 220774352 248371146 288140544 331161528 372556719 441548704 496742292 662323056 745113438 883097408 993484584 1324646112 1490226876 1766194816 1986969168 2649292224 2980453752 3532389632 3973938336 5298584448 5960907504 7947876672 10597168896 11921815008 15895753344 23843630016 31791506688 47687260032 95374520064