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165001689616 = 2417325872
BaseRepresentation
bin1001100110101011011…
…1011111101000010000
3120202220020210022021111
42121222313133220100
510200410413031431
6203444542503104
714630616135451
oct2315267375020
9522806708244
10165001689616
1163a82174645
1227b8a894a94
131273756a58a
147db3cd5128
15445ab297b1
hex266addfa10

165001689616 has 45 divisors (see below), whose sum is σ = 322098096301. Its totient is φ = 81884227136.

The previous prime is 165001689583. The next prime is 165001689649. The reversal of 165001689616 is 616986100561.

The square root of 165001689616 is 406204.

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

It is an interprime number because it is at equal distance from previous prime (165001689583) and next prime (165001689649).

It can be written as a sum of positive squares in only one way, i.e., 150094256400 + 14907433216 = 387420^2 + 122096^2 .

It is a super-2 number, since 2×1650016896162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165001689616.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 281092875 + ... + 281093461.

Almost surely, 2165001689616 is an apocalyptic number.

165001689616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165001689616 is the 406204-th square number.

It is an amenable number.

165001689616 is a deficient number, since it is larger than the sum of its proper divisors (157096406685).

165001689616 is an frugal number, since it uses more digits than its factorization.

165001689616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 165001689616 by its sum of digits (49), we get a square (8085082791184 = 28434282).

The spelling of 165001689616 in words is "one hundred sixty-five billion, one million, six hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 173 346 587 692 1174 1384 2348 2768 4696 9392 29929 59858 101551 119716 203102 239432 344569 406204 478864 689138 812408 1378276 1624816 2756552 5513104 17568323 35136646 59610437 70273292 119220874 140546584 238441748 281093168 476883496 953766992 10312605601 20625211202 41250422404 82500844808 165001689616