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147193922592 = 2532737001233
BaseRepresentation
bin1000100100010101110…
…0010000010000100000
3112001221012100000022200
42021011130100100200
54402423121010332
6151341524333200
713430413461363
oct2110534202040
9461835300280
10147193922592
115747414a712
122463ab44200
1310b5a104c22
1471a4c280da
153c6759417c
hex2245710420

147193922592 has 72 divisors (see below), whose sum is σ = 424316787804. Its totient is φ = 48392515584.

The previous prime is 147193922521. The next prime is 147193922651. The reversal of 147193922592 is 295229391741.

It is a happy number.

147193922592 is a `hidden beast` number, since 1 + 4 + 7 + 19 + 39 + 2 + 2 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134774157456 + 12419765136 = 367116^2 + 111444^2 .

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

It is a super-3 number, since 3×1471939225923 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3479593 + ... + 3521640.

Almost surely, 2147193922592 is an apocalyptic number.

147193922592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147193922592 is an abundant number, since it is smaller than the sum of its proper divisors (277122865212).

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

147193922592 is a wasteful number, since it uses less digits than its factorization.

147193922592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001322 (or 7001311 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 147193922592 in words is "one hundred forty-seven billion, one hundred ninety-three million, nine hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 7001233 14002466 21003699 28004932 42007398 56009864 63011097 84014796 112019728 126022194 168029592 224039456 252044388 336059184 504088776 511090009 672118368 1008177552 1022180018 1533270027 2016355104 2044360036 3066540054 4088720072 4599810081 6133080108 8177440144 9199620162 12266160216 16354880288 18399240324 24532320432 36798480648 49064640864 73596961296 147193922592