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313270487064 = 233347239129113
BaseRepresentation
bin1001000111100000110…
…00000100100000011000
31002221121100200121201000
410203300120010200120
520113034221041224
6355525305425000
731430064130113
oct4436030044030
91087540617630
10313270487064
11110948028687
125086979b160
1323706267012
141123b79b57a
1582377400c9
hex48f0604818

313270487064 has 128 divisors (see below), whose sum is σ = 892435968000. Its totient is φ = 101773308672.

The previous prime is 313270486981. The next prime is 313270487129. The reversal of 313270487064 is 460784072313.

313270487064 is a `hidden beast` number, since 313 + 270 + 4 + 8 + 7 + 0 + 64 = 666.

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, 2361772 + ... + 2490884.

It is an arithmetic number, because the mean of its divisors is an integer number (6972156000).

Almost surely, 2313270487064 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 313270487064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446217984000).

313270487064 is an abundant number, since it is smaller than the sum of its proper divisors (579165480936).

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

313270487064 is a wasteful number, since it uses less digits than its factorization.

313270487064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129414 (or 129404 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 313270487064 in words is "three hundred thirteen billion, two hundred seventy million, four hundred eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 239 282 376 423 478 564 717 846 956 1128 1269 1434 1692 1912 2151 2538 2868 3384 4302 5076 5736 6453 8604 10152 11233 12906 17208 22466 25812 33699 44932 51624 67398 89864 101097 129113 134796 202194 258226 269592 303291 387339 404388 516452 606582 774678 808776 1032904 1162017 1213164 1549356 2324034 2426328 3098712 3486051 4648068 6068311 6972102 9296136 12136622 13944204 18204933 24273244 27888408 30858007 36409866 48546488 54614799 61716014 72819732 92574021 109229598 123432028 145639464 163844397 185148042 218459196 246864056 277722063 327688794 370296084 436918392 555444126 655377588 740592168 833166189 1110888252 1310755176 1450326329 1666332378 2221776504 2900652658 3332664756 4350978987 5801305316 6665329512 8701957974 11602610632 13052936961 17403915948 26105873922 34807831896 39158810883 52211747844 78317621766 104423495688 156635243532 313270487064