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482925996760 = 235311912637753
BaseRepresentation
bin1110000011100001010…
…00011110101011011000
31201011111221110110222011
413001300220132223120
530403013023344020
61005504140035304
746614233146264
oct7016050365330
91634457413864
10482925996760
11176898154119
1279716b32b34
1336702a1698c
141953379d0a4
15c866bde35a
hex7070a1ead8

482925996760 has 128 divisors (see below), whose sum is σ = 1131940085760. Its totient is φ = 185229388800.

The previous prime is 482925996743. The next prime is 482925996781. The reversal of 482925996760 is 67699529284.

It is a super-3 number, since 3×4829259967603 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62285044 + ... + 62292796.

It is an arithmetic number, because the mean of its divisors is an integer number (8843281920).

Almost surely, 2482925996760 is an apocalyptic number.

482925996760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482925996760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565970042880).

482925996760 is an abundant number, since it is smaller than the sum of its proper divisors (649014089000).

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

482925996760 is a wasteful number, since it uses less digits than its factorization.

482925996760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 482925996760 in words is "four hundred eighty-two billion, nine hundred twenty-five million, nine hundred ninety-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 191 248 263 310 382 526 620 764 955 1052 1240 1315 1528 1910 2104 2630 3820 5260 5921 7640 7753 8153 10520 11842 15506 16306 23684 29605 31012 32612 38765 40765 47368 50233 59210 62024 65224 77530 81530 100466 118420 155060 163060 200932 236840 240343 251165 310120 326120 401864 480686 502330 961372 1004660 1201715 1480823 1557223 1922744 2009320 2039039 2403430 2961646 3114446 4078078 4806860 5923292 6228892 7404115 7786115 8156156 9613720 10195195 11846584 12457784 14808230 15572230 16312312 20390390 29616460 31144460 40780780 45905513 59232920 62288920 63210209 81561560 91811026 126420418 183622052 229527565 252840836 316051045 367244104 389456449 459055130 505681672 632102090 778912898 918110260 1264204180 1557825796 1836220520 1947282245 2528408360 3115651592 3894564490 7789128980 12073149919 15578257960 24146299838 48292599676 60365749595 96585199352 120731499190 241462998380 482925996760