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474917999616 = 21032127405763
BaseRepresentation
bin1101110100100110101…
…00011001010000000000
31200101211212000002001100
412322103110121100000
530240113001441431
61002101352534400
746211624250654
oct6722324312000
91611755002040
10474917999616
11173458914365
12780610b1400
1335a27933828
1418db4012a64
15c548b644e6
hex6e93519400

474917999616 has 132 divisors (see below), whose sum is σ = 1382116582912. Its totient is φ = 157059108864.

The previous prime is 474917999603. The next prime is 474917999701. The reversal of 474917999616 is 616999719474.

474917999616 is a `hidden beast` number, since 4 + 7 + 491 + 79 + 9 + 9 + 61 + 6 = 666.

It is a super-2 number, since 2×4749179996162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 967551 + ... + 1373313.

Almost surely, 2474917999616 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 474917999616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691058291456).

474917999616 is an abundant number, since it is smaller than the sum of its proper divisors (907198583296).

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

474917999616 is a wasteful number, since it uses less digits than its factorization.

474917999616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405916 (or 405895 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 474917999616 in words is "four hundred seventy-four billion, nine hundred seventeen million, nine hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1024 1143 1152 1524 1536 2032 2286 2304 3048 3072 4064 4572 4608 6096 8128 9144 9216 12192 16256 18288 24384 32512 36576 48768 65024 73152 97536 130048 146304 195072 292608 390144 405763 585216 811526 1170432 1217289 1623052 2434578 3246104 3651867 4869156 6492208 7303734 9738312 12984416 14607468 19476624 25968832 29214936 38953248 51531901 51937664 58429872 77906496 103063802 103875328 116859744 154595703 155812992 206127604 207750656 233719488 309191406 311625984 412255208 415501312 463787109 467438976 618382812 623251968 824510416 927574218 934877952 1236765624 1246503936 1649020832 1855148436 1869755904 2473531248 3298041664 3710296872 3739511808 4947062496 6596083328 7420593744 9894124992 13192166656 14841187488 19788249984 26384333312 29682374976 39576499968 52768666624 59364749952 79152999936 118729499904 158305999872 237458999808 474917999616