Search a number
-
+
95235904121664 = 2631273905671921
BaseRepresentation
bin10101101001110111010110…
…001111000010101101000000
3110111012110111220102110001210
4111221313112033002231000
544440321112423343124
6534314434222130120
726026365325263465
oct2551672617025500
9414173456373053
1095235904121664
1128388358099939
12a821433720940
13411a926a02267
141973629b6766c
15b02487645a29
hex569dd63c2b40

95235904121664 has 56 divisors (see below), whose sum is σ = 253962411056128. Its totient is φ = 31495338362880.

The previous prime is 95235904121653. The next prime is 95235904121681. The reversal of 95235904121664 is 46612140953259.

It is a super-3 number, since 3×952359041216643 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952811577 + ... + 1952860344.

Almost surely, 295235904121664 is an apocalyptic number.

It is an amenable number.

95235904121664 is an abundant number, since it is smaller than the sum of its proper divisors (158726506934464).

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

95235904121664 is a wasteful number, since it uses less digits than its factorization.

95235904121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905672063 (or 3905672053 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 95235904121664 in words is "ninety-five trillion, two hundred thirty-five billion, nine hundred four million, one hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 8128 12192 24384 3905671921 7811343842 11717015763 15622687684 23434031526 31245375368 46868063052 62490750736 93736126104 124981501472 187472252208 249963002944 374944504416 496020333967 749889008832 992040667934 1488061001901 1984081335868 2976122003802 3968162671736 5952244007604 7936325343472 11904488015208 15872650686944 23808976030416 31745301373888 47617952060832 95235904121664