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95004427680 = 2532565975297
BaseRepresentation
bin101100001111010110…
…1001000010110100000
3100002020000120222022200
41120132231020112200
53024032113141210
6111351110333200
76602204211501
oct1303655102640
9302200528280
1095004427680
1137322582738
12164b495a200
138c608712a6
1448537d2ba8
1527108aa0c0
hex161eb485a0

95004427680 has 72 divisors (see below), whose sum is σ = 324202614372. Its totient is φ = 25334513664.

The previous prime is 95004427669. The next prime is 95004427681. The reversal of 95004427680 is 8672440059.

It is a happy number.

95004427680 is a `hidden beast` number, since 9 + 500 + 44 + 27 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77393014416 + 17611413264 = 278196^2 + 132708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (95004427681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32986209 + ... + 32989088.

Almost surely, 295004427680 is an apocalyptic number.

95004427680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95004427680 is an abundant number, since it is smaller than the sum of its proper divisors (229198186692).

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

95004427680 is a wasteful number, since it uses less digits than its factorization.

95004427680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65975318 (or 65975307 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 95004427680 in words is "ninety-five billion, four million, four hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 65975297 131950594 197925891 263901188 329876485 395851782 527802376 593777673 659752970 791703564 989629455 1055604752 1187555346 1319505940 1583407128 1979258910 2111209504 2375110692 2639011880 2968888365 3166814256 3958517820 4750221384 5278023760 5937776730 6333628512 7917035640 9500442768 10556047520 11875553460 15834071280 19000885536 23751106920 31668142560 47502213840 95004427680