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3116733248 = 26197335111
BaseRepresentation
bin1011100111000101…
…1001001101000000
322001012200110020202
42321301121031000
522340340430443
61233134224332
7140143536566
oct27161311500
98035613222
103116733248
11135a350902
1272b9550a8
133a8936575
14217d11a36
151339517b8
hexb9c59340

3116733248 has 56 divisors (see below), whose sum is σ = 6599651520. Its totient is φ = 1456081920.

The previous prime is 3116733241. The next prime is 3116733259. The reversal of 3116733248 is 8423376113.

It is a super-2 number, since 2×31167332482 = 19428052278377259008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116733241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71213 + ... + 106323.

It is an arithmetic number, because the mean of its divisors is an integer number (117850920).

Almost surely, 23116733248 is an apocalyptic number.

3116733248 is a gapful number since it is divisible by the number (38) 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 3116733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299825760).

3116733248 is an abundant number, since it is smaller than the sum of its proper divisors (3482918272).

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

3116733248 is a wasteful number, since it uses less digits than its factorization.

3116733248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35215 (or 35205 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 3116733248 is about 55827.7103954658. The cubic root of 3116733248 is about 1460.7185504114.

The spelling of 3116733248 in words is "three billion, one hundred sixteen million, seven hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 146 152 292 304 584 608 1168 1216 1387 2336 2774 4672 5548 11096 22192 35111 44384 70222 88768 140444 280888 561776 667109 1123552 1334218 2247104 2563103 2668436 5126206 5336872 10252412 10673744 20504824 21347488 41009648 42694976 48698957 82019296 97397914 164038592 194795828 389591656 779183312 1558366624 3116733248