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1001975716 = 2274172192
BaseRepresentation
bin111011101110001…
…110111110100100
32120211101122021201
4323232032332210
54023001210331
6243231452244
733554440000
oct7356167644
92524348251
101001975716
11474653205
1223b687084
1312c77c551
1497103700
155ce71a61
hex3bb8efa4

1001975716 has 135 divisors (see below), whose sum is σ = 2293371969. Its totient is φ = 382886784.

The previous prime is 1001975677. The next prime is 1001975719. The reversal of 1001975716 is 6175791001.

The square root of 1001975716 is 31654.

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

It can be written as a sum of positive squares in only one way, i.e., 780084900 + 221890816 = 27930^2 + 14896^2 .

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1001975719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52735555 + ... + 52735573.

Almost surely, 21001975716 is an apocalyptic number.

1001975716 is the 31654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001975716

1001975716 is an abundant number, since it is smaller than the sum of its proper divisors (1291396253).

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

1001975716 is an equidigital number, since it uses as much as digits as its factorization.

1001975716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 37.

The cubic root of 1001975716 is about 1000.6581387584.

The spelling of 1001975716 in words is "one billion, one million, nine hundred seventy-five thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 289 323 343 361 476 532 578 646 686 722 833 931 1156 1292 1372 1444 1666 1862 2023 2261 2401 2527 3332 3724 4046 4522 4802 5054 5491 5831 6137 6517 8092 9044 9604 10108 10982 11662 12274 13034 14161 15827 17689 21964 23324 24548 26068 28322 31654 35378 38437 40817 42959 45619 56644 63308 70756 76874 81634 85918 91238 99127 104329 110789 123823 153748 163268 171836 182476 198254 208658 221578 247646 269059 300713 396508 417316 443156 495292 538118 601426 693889 730303 775523 866761 1076236 1202852 1387778 1460606 1551046 1733522 1883413 2104991 2775556 2921212 3102092 3467044 3766826 4209982 5112121 7533652 8419964 10224242 13183891 14734937 20448484 26367782 29469874 35784847 52735564 58939748 71569694 143139388 250493929 500987858 1001975716