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130525055460 = 2232531157148991
BaseRepresentation
bin111100110001111100…
…1100100100111100100
3110110220111220211022100
41321203321210213210
54114303403233320
6135543512532100
712300350444202
oct1714371444744
9413814824270
10130525055460
115039aa9a068
12213686b1030
13c4018c0137
146463104072
1535ddeca790
hex1e63e649e4

130525055460 has 144 divisors (see below), whose sum is σ = 411303739392. Its totient is φ = 33469113600.

The previous prime is 130525055431. The next prime is 130525055467. The reversal of 130525055460 is 64550525031.

130525055460 is a `hidden beast` number, since 1 + 3 + 0 + 52 + 50 + 554 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130525055467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801565 + ... + 950555.

It is an arithmetic number, because the mean of its divisors is an integer number (2856275968).

Almost surely, 2130525055460 is an apocalyptic number.

130525055460 is a gapful number since it is divisible by the number (10) 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 130525055460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205651869696).

130525055460 is an abundant number, since it is smaller than the sum of its proper divisors (280778683932).

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

130525055460 is a wasteful number, since it uses less digits than its factorization.

130525055460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149194 (or 149189 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 130525055460 in words is "one hundred thirty billion, five hundred twenty-five million, fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 157 180 186 279 310 314 372 465 471 558 620 628 785 930 942 1116 1395 1413 1570 1860 1884 2355 2790 2826 3140 4710 4867 5580 5652 7065 9420 9734 14130 14601 19468 24335 28260 29202 43803 48670 58404 73005 87606 97340 146010 148991 175212 219015 292020 297982 438030 446973 595964 744955 876060 893946 1340919 1489910 1787892 2234865 2681838 2979820 4469730 4618721 5363676 6704595 8939460 9237442 13409190 13856163 18474884 23093605 23391587 26818380 27712326 41568489 46187210 46783174 55424652 69280815 70174761 83136978 92374420 93566348 116957935 138561630 140349522 166273956 207842445 210524283 233915870 277123260 280699044 350873805 415684890 421048566 467831740 701747610 725139197 831369780 842097132 1052621415 1403495220 1450278394 2105242830 2175417591 2900556788 3625695985 4210485660 4350835182 6526252773 7251391970 8701670364 10877087955 13052505546 14502783940 21754175910 26105011092 32631263865 43508351820 65262527730 130525055460