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130672342680 = 2335111934914929
BaseRepresentation
bin111100110110010101…
…1011011011010011000
3110111021210001210101120
41321230223123122120
54120104104431210
6140010253445240
712304116405045
oct1715453333230
9414253053346
10130672342680
1150466149140
12213a9aa0820
13c42627c339
1464788c41cc
1535ebdc1270
hex1e6cadb698

130672342680 has 256 divisors, whose sum is σ = 451483200000. Its totient is φ = 29922877440.

The previous prime is 130672342651. The next prime is 130672342709. The reversal of 130672342680 is 86243276031.

It is an interprime number because it is at equal distance from previous prime (130672342651) and next prime (130672342709).

It is a super-2 number, since 2×1306723426802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8745456 + ... + 8760384.

It is an arithmetic number, because the mean of its divisors is an integer number (1763606250).

Almost surely, 2130672342680 is an apocalyptic number.

130672342680 is a gapful number since it is divisible by the number (10) 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 130672342680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225741600000).

130672342680 is an abundant number, since it is smaller than the sum of its proper divisors (320810857320).

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

130672342680 is a wasteful number, since it uses less digits than its factorization.

130672342680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15322 (or 15318 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 130672342680 in words is "one hundred thirty billion, six hundred seventy-two million, three hundred forty-two thousand, six hundred eighty".