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3993001116 = 22313151337503
BaseRepresentation
bin1110111000000000…
…0101110010011100
3101022021112110210020
43232000011302130
531134202013431
61500115512140
7200643643446
oct35600056234
911267473706
103993001116
111769a43925
129352b8650
134b8340b70
1429c451496
15185841696
hexee005c9c

3993001116 has 96 divisors (see below), whose sum is σ = 10150253568. Its totient is φ = 1214438400.

The previous prime is 3993001099. The next prime is 3993001127. The reversal of 3993001116 is 6111003993.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7938121 + ... + 7938623.

It is an arithmetic number, because the mean of its divisors is an integer number (105731808).

Almost surely, 23993001116 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 3993001116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075126784).

3993001116 is an abundant number, since it is smaller than the sum of its proper divisors (6157252452).

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

3993001116 is a wasteful number, since it uses less digits than its factorization.

3993001116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 3993001116 is about 63190.1979424024. The cubic root of 3993001116 is about 1586.4746751389.

The spelling of 3993001116 in words is "three billion, nine hundred ninety-three million, one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 337 453 503 604 674 906 1006 1011 1348 1509 1812 1963 2012 2022 3018 3926 4044 4381 5889 6036 6539 7852 8762 11778 13078 13143 17524 19617 23556 26156 26286 39234 50887 52572 75953 78468 101774 151906 152661 169511 203548 227859 303812 305322 339022 455718 508533 610644 661531 678044 911436 987389 1017066 1323062 1974778 1984593 2034132 2203643 2646124 2962167 3949556 3969186 4407286 5924334 6610929 7938372 8814572 11848668 13221858 25596161 26443716 51192322 76788483 102384644 153576966 307153932 332750093 665500186 998250279 1331000372 1996500558 3993001116