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13047122176 = 28114592
BaseRepresentation
bin11000010011010101…
…10100100100000000
31020200021110110221021
430021222310210000
5203210030402201
65554353035224
7641214465034
oct141152644400
936607413837
1013047122176
115595840000
122641555b14
1312cc09024a
148bab141c4
1551565dea1
hex309ab4900

13047122176 has 135 divisors (see below), whose sum is σ = 29141208355. Its totient is φ = 5829992960.

The previous prime is 13047122159. The next prime is 13047122183. The reversal of 13047122176 is 67122174031.

The square root of 13047122176 is 114224.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 221137635 + ... + 221137693.

Almost surely, 213047122176 is an apocalyptic number.

13047122176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13047122176 is the 114224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13047122176

13047122176 is an abundant number, since it is smaller than the sum of its proper divisors (16094086179).

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

13047122176 is an frugal number, since it uses more digits than its factorization.

13047122176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 13047122176 in words is "thirteen billion, forty-seven million, one hundred twenty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 121 128 176 236 242 256 352 472 484 649 704 944 968 1298 1331 1408 1888 1936 2596 2662 2816 3481 3776 3872 5192 5324 6962 7139 7552 7744 10384 10648 13924 14278 14641 15104 15488 20768 21296 27848 28556 29282 30976 38291 41536 42592 55696 57112 58564 76582 78529 83072 85184 111392 114224 117128 153164 157058 166144 170368 222784 228448 234256 306328 314116 340736 421201 445568 456896 468512 612656 628232 842402 863819 891136 913792 937024 1225312 1256464 1684804 1727638 1827584 1874048 2450624 2512928 3369608 3455276 3748096 4633211 4901248 5025856 6739216 6910552 9266422 9802496 10051712 13478432 13821104 18532844 20103424 26956864 27642208 37065688 50965321 53913728 55284416 74131376 101930642 107827456 110568832 148262752 203861284 221137664 296525504 407722568 593051008 815445136 1186102016 1630890272 3261780544 6523561088 13047122176