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95213174144 = 271167622993
BaseRepresentation
bin101100010101100100…
…1011011110110000000
3100002202120101101122012
41120223021123312000
53024444033033034
6111423524432052
76610320424664
oct1305311336600
9302676341565
1095213174144
113741a399a80
1216552848628
138c94b9b6ca
1448734108a4
152723d90cce
hex162b25bd80

95213174144 has 32 divisors (see below), whose sum is σ = 206926361640. Its totient is φ = 43278714880.

The previous prime is 95213174123. The next prime is 95213174159. The reversal of 95213174144 is 44147131259.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 33810089 + ... + 33812904.

Almost surely, 295213174144 is an apocalyptic number.

It is an amenable number.

95213174144 is an abundant number, since it is smaller than the sum of its proper divisors (111713187496).

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

95213174144 is a wasteful number, since it uses less digits than its factorization.

95213174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67623018 (or 67623006 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The spelling of 95213174144 in words is "ninety-five billion, two hundred thirteen million, one hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 67622993 135245986 270491972 540983944 743852923 1081967888 1487705846 2163935776 2975411692 4327871552 5950823384 8655743104 11901646768 23803293536 47606587072 95213174144