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130272402176 = 287149487897
BaseRepresentation
bin111100101010011010…
…1110001101100000000
3110110020220111201011022
41321110311301230000
54113244213332201
6135502445405012
712261162101540
oct1712465615400
9413226451138
10130272402176
11502804139a4
12212b7b69768
13c39145bb57
14643b737320
1535c6c2041b
hex1e54d71b00

130272402176 has 72 divisors (see below), whose sum is σ = 299179053600. Its totient is φ = 55456210944.

The previous prime is 130272402067. The next prime is 130272402181. The reversal of 130272402176 is 671204272031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23060 + ... + 510956.

Almost surely, 2130272402176 is an apocalyptic number.

130272402176 is a gapful number since it is divisible by the number (16) 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 130272402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149589526800).

130272402176 is an abundant number, since it is smaller than the sum of its proper divisors (168906651424).

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

130272402176 is an equidigital number, since it uses as much as digits as its factorization.

130272402176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488069 (or 488055 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 130272402176 in words is "one hundred thirty billion, two hundred seventy-two million, four hundred two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 256 298 448 596 896 1043 1192 1792 2086 2384 4172 4768 8344 9536 16688 19072 33376 38144 66752 133504 267008 487897 975794 1951588 3415279 3903176 6830558 7806352 13661116 15612704 27322232 31225408 54644464 62450816 72696653 109288928 124901632 145393306 218577856 290786612 437155712 508876571 581573224 874311424 1017753142 1163146448 2035506284 2326292896 4071012568 4652585792 8142025136 9305171584 16284050272 18610343168 32568100544 65136201088 130272402176