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130605455664 = 24327931736217
BaseRepresentation
bin111100110100010110…
…0010001100100110000
3110111010010012120122200
41321220230101210300
54114434444040124
6135555504103200
712302345025135
oct1715054214460
9414103176580
10130605455664
1150431413a12
122138b604b00
13c415460718
14646da7258c
1535e60acbc9
hex1e68b11930

130605455664 has 120 divisors (see below), whose sum is σ = 371318525760. Its totient is φ = 42847294464.

The previous prime is 130605455639. The next prime is 130605455683. The reversal of 130605455664 is 466554506031.

130605455664 is a `hidden beast` number, since 1 + 30 + 6 + 0 + 5 + 4 + 556 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3588084 + ... + 3624300.

It is an arithmetic number, because the mean of its divisors is an integer number (3094321048).

Almost surely, 2130605455664 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 130605455664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185659262880).

130605455664 is an abundant number, since it is smaller than the sum of its proper divisors (240713070096).

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

130605455664 is a wasteful number, since it uses less digits than its factorization.

130605455664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36627 (or 36618 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 130605455664 in words is "one hundred thirty billion, six hundred five million, four hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 317 474 632 634 711 948 951 1264 1268 1422 1896 1902 2536 2844 2853 3792 3804 5072 5688 5706 7608 11376 11412 15216 22824 25043 36217 45648 50086 72434 75129 100172 108651 144868 150258 200344 217302 225387 289736 300516 325953 400688 434604 450774 579472 601032 651906 869208 901548 1202064 1303812 1738416 1803096 2607624 2861143 3606192 5215248 5722286 8583429 11444572 11480789 17166858 22889144 22961578 25750287 34333716 34442367 45778288 45923156 51500574 68667432 68884734 91846312 103001148 103327101 137334864 137769468 183692624 206002296 206654202 275538936 412004592 413308404 551077872 826616808 906982331 1653233616 1813964662 2720946993 3627929324 5441893986 7255858648 8162840979 10883787972 14511717296 16325681958 21767575944 32651363916 43535151888 65302727832 130605455664