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1327018000896 = 2933713713397
BaseRepresentation
bin10011010011111000011…
…011111100001000000000
311200212021011111002212000
4103103320123330020000
5133220213102012041
62453342413104000
7164605512616320
oct23237033741000
94625234432760
101327018000896
11471870080155
12195227788000
13981a273b513
1448329955280
15247bad63bb6
hex134f86fc200

1327018000896 has 160 divisors (see below), whose sum is σ = 4489217969280. Its totient is φ = 379147972608.

The previous prime is 1327018000871. The next prime is 1327018000933. The reversal of 1327018000896 is 6980008107231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6759931 + ... + 6953466.

It is an arithmetic number, because the mean of its divisors is an integer number (28057612308).

Almost surely, 21327018000896 is an apocalyptic number.

1327018000896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1327018000896 is an abundant number, since it is smaller than the sum of its proper divisors (3162199968384).

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

1327018000896 is an equidigital number, since it uses as much as digits as its factorization.

1327018000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713431 (or 13713409 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1327018000896 in words is "one trillion, three hundred twenty-seven billion, eighteen million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 96768 13713397 27426794 41140191 54853588 82280382 95993779 109707176 123420573 164560764 191987558 219414352 246841146 287981337 329121528 370261719 383975116 438828704 493682292 575962674 658243056 740523438 767950232 863944011 877657408 987364584 1151925348 1316486112 1481046876 1535900464 1727888022 1755314816 1974729168 2303850696 2591832033 2632972224 2962093752 3071800928 3455776044 3510629632 3949458336 4607701392 5183664066 5265944448 5924187504 6143601856 6911552088 7021259264 7898916672 9215402784 10367328132 10531888896 11848375008 12287203712 13823104176 15797833344 18430805568 20734656264 21063777792 23696750016 24574407424 27646208352 31595666688 36861611136 41469312528 47393500032 49148814848 55292416704 63191333376 73723222272 82938625056 94787000064 110584833408 147446444544 165877250112 189574000128 221169666816 331754500224 442339333632 663509000448 1327018000896