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8612712416 = 2571113672557
BaseRepresentation
bin10000000010101101…
…11000111111100000
3211020020100010022202
420001112320333200
5120114323244131
63542344152332
7423300563510
oct100126707740
924206303282
108612712416
11371a719350
1218044686a8
13a73470049
145b9bdd840
153561c9bcb
hex2015b8fe0

8612712416 has 96 divisors (see below), whose sum is σ = 21164032512. Its totient is φ = 3351836160.

The previous prime is 8612712403. The next prime is 8612712419. The reversal of 8612712416 is 6142172168.

It is a self number, because there is not a number n which added to its sum of digits gives 8612712416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8612712419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3367010 + ... + 3369566.

It is an arithmetic number, because the mean of its divisors is an integer number (220458672).

Almost surely, 28612712416 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 8612712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582016256).

8612712416 is an abundant number, since it is smaller than the sum of its proper divisors (12551320096).

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

8612712416 is a wasteful number, since it uses less digits than its factorization.

8612712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3944 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 8612712416 is about 92804.7003982018. The cubic root of 8612712416 is about 2049.8086211190.

The spelling of 8612712416 in words is "eight billion, six hundred twelve million, seven hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1367 2464 2557 2734 5114 5468 9569 10228 10936 15037 17899 19138 20456 21872 28127 30074 35798 38276 40912 43744 56254 60148 71596 76552 81824 105259 112508 120296 143192 153104 196889 210518 225016 240592 286384 306208 393778 421036 450032 481184 572768 787556 842072 900064 1575112 1684144 3150224 3368288 3495419 6300448 6990838 13981676 24467933 27963352 38449609 48935866 55926704 76899218 97871732 111853408 153798436 195743464 269147263 307596872 391486928 538294526 615193744 782973856 1076589052 1230387488 2153178104 4306356208 8612712416