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20482613064 = 233217103116231
BaseRepresentation
bin10011000100110110…
…111101111101001000
31221212110122112220200
4103010312331331020
5313422022104224
613224245252200
71323402224034
oct230466757510
957773575820
1020482613064
1187609a03a1
123b77704060
131c15682ab4
14dc44331c4
157ed2ec5c9
hex4c4dbdf48

20482613064 has 96 divisors (see below), whose sum is σ = 58797498240. Its totient is φ = 6419289600.

The previous prime is 20482613059. The next prime is 20482613071. The reversal of 20482613064 is 46031628402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253829 + ... + 1270059.

It is an arithmetic number, because the mean of its divisors is an integer number (612473940).

Almost surely, 220482613064 is an apocalyptic number.

20482613064 is a gapful number since it is divisible by the number (24) 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 20482613064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398749120).

20482613064 is an abundant number, since it is smaller than the sum of its proper divisors (38314885176).

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

20482613064 is a wasteful number, since it uses less digits than its factorization.

20482613064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17291 (or 17284 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 2048261 and 3064, that added together give a triangular number (2051325 = T2025).

The spelling of 20482613064 in words is "twenty billion, four hundred eighty-two million, six hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1031 1224 2062 3093 4124 6186 8248 9279 12372 16231 17527 18558 24744 32462 35054 37116 48693 52581 64924 70108 74232 97386 105162 129848 140216 146079 157743 194772 210324 275927 292158 315486 389544 420648 551854 584316 630972 827781 1103708 1168632 1261944 1655562 2207416 2483343 3311124 4966686 6622248 9933372 16734161 19866744 33468322 50202483 66936644 100404966 133873288 150607449 200809932 284480737 301214898 401619864 568961474 602429796 853442211 1137922948 1204859592 1706884422 2275845896 2560326633 3413768844 5120653266 6827537688 10241306532 20482613064