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130415162580 = 223252331501247
BaseRepresentation
bin111100101110101011…
…0010111010011010100
3110110121212010200121200
41321131112113103110
54114042240200310
6135524545312500
712264544406613
oct1713526272324
9413555120550
10130415162580
1150343a609aa
1221337935730
13c3b4bc4771
14645269987a
1535d451e9c0
hex1e5d5974d4

130415162580 has 72 divisors (see below), whose sum is σ = 412792353792. Its totient is φ = 33265315776.

The previous prime is 130415162561. The next prime is 130415162587. The reversal of 130415162580 is 85261514031.

130415162580 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 15 + 1 + 62 + 580 = 666.

It is a super-2 number, since 2×1304151625802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130415162587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15746484 + ... + 15754763.

It is an arithmetic number, because the mean of its divisors is an integer number (5733227136).

Almost surely, 2130415162580 is an apocalyptic number.

130415162580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130415162580 is an abundant number, since it is smaller than the sum of its proper divisors (282377191212).

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

130415162580 is a wasteful number, since it uses less digits than its factorization.

130415162580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31501285 (or 31501280 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 130415 and 162580, that added together give a triangular number (292995 = T765).

The spelling of 130415162580 in words is "one hundred thirty billion, four hundred fifteen million, one hundred sixty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 31501247 63002494 94503741 126004988 157506235 189007482 283511223 315012470 378014964 472518705 567022446 630024940 724528681 945037410 1134044892 1417556115 1449057362 1890074820 2173586043 2835112230 2898114724 3622643405 4347172086 5670224460 6520758129 7245286810 8694344172 10867930215 13041516258 14490573620 21735860430 26083032516 32603790645 43471720860 65207581290 130415162580