Search a number
-
+
130651467128 = 237213137187139
BaseRepresentation
bin111100110101101101…
…1110010110101111000
3110111020022210012111222
41321223123302311320
54120033233422003
6140004230211212
712303444101300
oct1715333626570
9414208705458
10130651467128
1150455390016
12213a2ab3b08
13c421b50540
146475c0c600
1535ea14ac38
hex1e6b6f2d78

130651467128 has 96 divisors (see below), whose sum is σ = 309129080400. Its totient is φ = 51308748288.

The previous prime is 130651467101. The next prime is 130651467131. The reversal of 130651467128 is 821764156031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604583 + ... + 791721.

Almost surely, 2130651467128 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 130651467128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154564540200).

130651467128 is an abundant number, since it is smaller than the sum of its proper divisors (178477613272).

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

130651467128 is a wasteful number, since it uses less digits than its factorization.

130651467128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187309 (or 187298 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 130651467128 in words is "one hundred thirty billion, six hundred fifty-one million, four hundred sixty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 137 182 196 274 364 392 548 637 728 959 1096 1274 1781 1918 2548 3562 3836 5096 6713 7124 7672 12467 13426 14248 24934 26852 49868 53704 87269 99736 174538 187139 349076 374278 698152 748556 1309973 1497112 2432807 2619946 4865614 5239892 9169811 9731228 10479784 17029649 18339622 19462456 25638043 34059298 36679244 51276086 68118596 73358488 102552172 119207543 136237192 179466301 205104344 238415086 333294559 358932602 476830172 666589118 717865204 953660344 1256264107 1333178236 1435730408 2333061913 2512528214 2666356472 4666123826 5025056428 9332247652 10050112856 16331433391 18664495304 32662866782 65325733564 130651467128