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130272314656 = 2511761486323
BaseRepresentation
bin111100101010011010…
…1011100010100100000
3110110020220100021002211
41321110311130110200
54113244203032111
6135502443451504
712261161255431
oct1712465342440
9413226307084
10130272314656
1150280364170
12212b7b26b94
13c39142b073
14643b713488
1535c6c04521
hex1e54d5c520

130272314656 has 48 divisors (see below), whose sum is σ = 280157639328. Its totient is φ = 59136755200.

The previous prime is 130272314561. The next prime is 130272314657. The reversal of 130272314656 is 656413272031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130272314657) by changing a digit.

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, 24711 + ... + 511033.

It is an arithmetic number, because the mean of its divisors is an integer number (5836617486).

Almost surely, 2130272314656 is an apocalyptic number.

130272314656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130272314656 is an abundant number, since it is smaller than the sum of its proper divisors (149885324672).

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

130272314656 is a wasteful number, since it uses less digits than its factorization.

130272314656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487105 (or 487097 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

Adding to 130272314656 its reverse (656413272031), we get a palindrome (786685586687).

The spelling of 130272314656 in words is "one hundred thirty billion, two hundred seventy-two million, three hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 761 1522 3044 6088 8371 12176 16742 24352 33484 66968 133936 267872 486323 972646 1945292 3890584 5349553 7781168 10699106 15562336 21398212 42796424 85592848 171185696 370091803 740183606 1480367212 2960734424 4071009833 5921468848 8142019666 11842937696 16284039332 32568078664 65136157328 130272314656