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130679358016 = 267326192
BaseRepresentation
bin111100110110100011…
…0001100001001000000
3110111022021021012121211
41321231012030021000
54120112403424031
6140011104055504
712304233133654
oct1715506141100
9414267235554
10130679358016
115046a0aa939
12213b0304594
13c42786751c
1464797cca64
1535ec809bb1
hex1e6d18c240

130679358016 has 63 divisors (see below), whose sum is σ = 263343230361. Its totient is φ = 64340504064.

The previous prime is 130679357989. The next prime is 130679358023. The reversal of 130679358016 is 610853976031.

The square root of 130679358016 is 361496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74179969600 + 56499388416 = 272360^2 + 237696^2 .

It is a super-2 number, since 2×1306793580162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 211113355 + ... + 211113973.

Almost surely, 2130679358016 is an apocalyptic number.

130679358016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130679358016 is the 361496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130679358016

130679358016 is an abundant number, since it is smaller than the sum of its proper divisors (132663872345).

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

130679358016 is an frugal number, since it uses more digits than its factorization.

130679358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 130679358016 by its sum of digits (49), we get a square (6403288542784 = 25304722).

The spelling of 130679358016 in words is "one hundred thirty billion, six hundred seventy-nine million, three hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 619 1168 1238 2336 2476 4672 4952 5329 9904 10658 19808 21316 39616 42632 45187 85264 90374 170528 180748 341056 361496 383161 722992 766322 1445984 1532644 2891968 3065288 3298651 6130576 6597302 12261152 13194604 24522304 26389208 27970753 52778416 55941506 105556832 111883012 211113664 223766024 447532048 895064096 1790128192 2041864969 4083729938 8167459876 16334919752 32669839504 65339679008 130679358016