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15056793216 = 2735484079
BaseRepresentation
bin11100000010111010…
…00110111010000000
31102212100000100100000
432001131012322000
5221314014340331
610530023200000
71042056426213
oct160135067200
942770010300
1015056793216
116427192663
122b025a6000
13155c5424ca
14a2b9a977a
155d1cd20e6
hex381746e80

15056793216 has 96 divisors (see below), whose sum is σ = 44932305600. Its totient is φ = 5018920704.

The previous prime is 15056793211. The next prime is 15056793233. The reversal of 15056793216 is 61239765051.

15056793216 is a `hidden beast` number, since 1 + 50 + 567 + 9 + 32 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (15056793211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210936 + ... + 273143.

It is an arithmetic number, because the mean of its divisors is an integer number (468044850).

Almost surely, 215056793216 is an apocalyptic number.

15056793216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15056793216 is an abundant number, since it is smaller than the sum of its proper divisors (29875512384).

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

15056793216 is an frugal number, since it uses more digits than its factorization.

15056793216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484108 (or 484084 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 15056793216 in words is "fifteen billion, fifty-six million, seven hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 484079 968158 1452237 1936316 2904474 3872632 4356711 5808948 7745264 8713422 11617896 13070133 15490528 17426844 23235792 26140266 30981056 34853688 39210399 46471584 52280532 61962112 69707376 78420798 92943168 104561064 117631197 139414752 156841596 185886336 209122128 235262394 278829504 313683192 418244256 470524788 557659008 627366384 836488512 941049576 1254732768 1672977024 1882099152 2509465536 3764198304 5018931072 7528396608 15056793216