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81930377472 = 283277385127
BaseRepresentation
bin100110001001101101…
…1100101100100000000
321211110212110102001220
41030103123211210000
52320243134034342
6101345512155040
75630211501156
oct1142333454400
9254425412056
1081930377472
1131823620269
1213a66398a80
1379590433c8
143d732ad3d6
1521e7bcc5ec
hex13136e5900

81930377472 has 72 divisors (see below), whose sum is σ = 218842053696. Its totient is φ = 27211462656.

The previous prime is 81930377467. The next prime is 81930377483. The reversal of 81930377472 is 27477303918.

It is a happy number.

It is a super-2 number, since 2×819303774722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20173 + ... + 405299.

It is an arithmetic number, because the mean of its divisors is an integer number (3039472968).

Almost surely, 281930377472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81930377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109421026848).

81930377472 is an abundant number, since it is smaller than the sum of its proper divisors (136911676224).

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

81930377472 is a wasteful number, since it uses less digits than its factorization.

81930377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385423 (or 385409 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 81930377472 in words is "eighty-one billion, nine hundred thirty million, three hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 277 384 554 768 831 1108 1662 2216 3324 4432 6648 8864 13296 17728 26592 35456 53184 70912 106368 212736 385127 770254 1155381 1540508 2310762 3081016 4621524 6162032 9243048 12324064 18486096 24648128 36972192 49296256 73944384 98592512 106680179 147888768 213360358 295777536 320040537 426720716 640081074 853441432 1280162148 1706882864 2560324296 3413765728 5120648592 6827531456 10241297184 13655062912 20482594368 27310125824 40965188736 81930377472