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1010465616 = 24379439607
BaseRepresentation
bin111100001110100…
…111101101010000
32121102100222020110
4330032213231100
54032134344431
6244133441320
734016546616
oct7416475520
92542328213
101010465616
11479421856
122424a0240
13131462964
14982b36b6
155da9c346
hex3c3a7b50

1010465616 has 80 divisors (see below), whose sum is σ = 2653798400. Its totient is φ = 331254144.

The previous prime is 1010465611. The next prime is 1010465689. The reversal of 1010465616 is 6165640101.

It is a super-2 number, since 2×10104656162 = 2042081522236518912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010465611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1664385 + ... + 1664991.

It is an arithmetic number, because the mean of its divisors is an integer number (33172480).

Almost surely, 21010465616 is an apocalyptic number.

1010465616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010465616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326899200).

1010465616 is an abundant number, since it is smaller than the sum of its proper divisors (1643332784).

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

1010465616 is a wasteful number, since it uses less digits than its factorization.

1010465616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1010465616 is about 31787.8218190552. The cubic root of 1010465616 is about 1003.4764390333.

The spelling of 1010465616 in words is "one billion, ten million, four hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 439 474 607 632 878 948 1214 1264 1317 1756 1821 1896 2428 2634 3512 3642 3792 4856 5268 7024 7284 9712 10536 14568 21072 29136 34681 47953 69362 95906 104043 138724 143859 191812 208086 266473 277448 287718 383624 416172 532946 554896 575436 767248 799419 832344 1065892 1150872 1598838 1664688 2131784 2301744 3197676 4263568 6395352 12790704 21051367 42102734 63154101 84205468 126308202 168410936 252616404 336821872 505232808 1010465616