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201960314496 = 273447414451
BaseRepresentation
bin1011110000010111000…
…1011101011010000000
3201022021221221222110000
42330011301131122000
511302103320030441
6232440154240000
720406523230423
oct2740561353200
9638257858400
10201960314496
1178718372526
1233184126000
13160774acb95
149abc5a99ba
1553c05e82b6
hex2f05c5d680

201960314496 has 160 divisors (see below), whose sum is σ = 613819990080. Its totient is φ = 65887603200.

The previous prime is 201960314477. The next prime is 201960314509. The reversal of 201960314496 is 694413069102.

201960314496 is a `hidden beast` number, since 20 + 1 + 9 + 603 + 14 + 4 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 280071 + ... + 694521.

It is an arithmetic number, because the mean of its divisors is an integer number (3836374938).

Almost surely, 2201960314496 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 201960314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306909995040).

201960314496 is an abundant number, since it is smaller than the sum of its proper divisors (411859675584).

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

201960314496 is an equidigital number, since it uses as much as digits as its factorization.

201960314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414524 (or 414503 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 201960314496 in words is "two hundred one billion, nine hundred sixty million, three hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 282 288 324 376 384 423 432 564 576 648 752 846 864 1128 1152 1269 1296 1504 1692 1728 2256 2538 2592 3008 3384 3456 3807 4512 5076 5184 6016 6768 7614 9024 10152 10368 13536 15228 18048 20304 27072 30456 40608 54144 60912 81216 121824 162432 243648 414451 487296 828902 1243353 1657804 2486706 3315608 3730059 4973412 6631216 7460118 9946824 11190177 13262432 14920236 19479197 19893648 22380354 26524864 29840472 33570531 38958394 39787296 44760708 53049728 58437591 59680944 67141062 77916788 79574592 89521416 116875182 119361888 134282124 155833576 159149184 175312773 179042832 233750364 238723776 268564248 311667152 350625546 358085664 467500728 477447552 525938319 537128496 623334304 701251092 716171328 935001456 1051876638 1074256992 1246668608 1402502184 1432342656 1577814957 1870002912 2103753276 2148513984 2493337216 2805004368 3155629914 3740005824 4207506552 4297027968 5610008736 6311259828 7480011648 8415013104 11220017472 12622519656 16830026208 22440034944 25245039312 33660052416 50490078624 67320104832 100980157248 201960314496