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9977475312 = 2432773135593
BaseRepresentation
bin10010100101011010…
…00011000011110000
3221202100101021001200
421102231003003300
5130413213202222
64330015531200
7502152066210
oct112255030360
927670337050
109977475312
11426002a972
121b25529b00
13c30131b5c
146a917c240
153d5e0deac
hex252b430f0

9977475312 has 120 divisors (see below), whose sum is σ = 32349474144. Its totient is φ = 2811635712.

The previous prime is 9977475289. The next prime is 9977475359. The reversal of 9977475312 is 2135747799.

9977475312 is a `hidden beast` number, since 99 + 77 + 475 + 3 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5788 + ... + 141380.

Almost surely, 29977475312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977475312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174737072).

9977475312 is an abundant number, since it is smaller than the sum of its proper divisors (22371998832).

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

9977475312 is a wasteful number, since it uses less digits than its factorization.

9977475312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135687 (or 135678 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 9977475312 is about 99887.3130682771. The cubic root of 9977475312 is about 2152.8158750057.

The spelling of 9977475312 in words is "nine billion, nine hundred seventy-seven million, four hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 144 146 168 219 252 292 336 438 504 511 584 657 876 1008 1022 1168 1314 1533 1752 2044 2628 3066 3504 4088 4599 5256 6132 8176 9198 10512 12264 18396 24528 36792 73584 135593 271186 406779 542372 813558 949151 1084744 1220337 1627116 1898302 2169488 2440674 2847453 3254232 3796604 4881348 5694906 6508464 7593208 8542359 9762696 9898289 11389812 15186416 17084718 19525392 19796578 22779624 29694867 34169436 39593156 45559248 59389734 68338872 69288023 79186312 89084601 118779468 136677744 138576046 158372624 178169202 207864069 237558936 277152092 356338404 415728138 475117872 554304184 623592207 712676808 831456276 1108608368 1247184414 1425353616 1662912552 2494368828 3325825104 4988737656 9977475312