Search a number
-
+
99932166144 = 211325421667
BaseRepresentation
bin101110100010001101…
…0111101100000000000
3100112221110000000200200
41131010122331200000
53114130113304034
6113524101045200
710135261253106
oct1350432754000
9315843000620
1099932166144
1139421114568
121744b0b6800
13956774bb75
144ba0043c76
1528ed2daa99
hex17446bd800

99932166144 has 72 divisors (see below), whose sum is σ = 288622495980. Its totient is φ = 33310715904.

The previous prime is 99932166107. The next prime is 99932166179. The reversal of 99932166144 is 44166123999.

It is a happy number.

99932166144 is a `hidden beast` number, since 9 + 9 + 9 + 3 + 2 + 16 + 614 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2692402 + ... + 2729265.

Almost surely, 299932166144 is an apocalyptic number.

It is an amenable number.

99932166144 is an abundant number, since it is smaller than the sum of its proper divisors (188690329836).

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

99932166144 is a wasteful number, since it uses less digits than its factorization.

99932166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421695 (or 5421672 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 99932166144 in words is "ninety-nine billion, nine hundred thirty-two million, one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 5421667 10843334 16265001 21686668 32530002 43373336 48795003 65060004 86746672 97590006 130120008 173493344 195180012 260240016 346986688 390360024 520480032 693973376 780720048 1040960064 1387946752 1561440096 2081920128 2775893504 3122880192 4163840256 5551787008 6245760384 8327680512 11103574016 12491520768 16655361024 24983041536 33310722048 49966083072 99932166144