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2978313696 = 253217957773
BaseRepresentation
bin1011000110000101…
…0111010111100000
321200120020000022200
42301201113113200
522044422014241
61211311333200
7133543151211
oct26141272740
97616200280
102978313696
1112991a9186
126b1521200
133860606c7
1420379d408
1512670d4b6
hexb18575e0

2978313696 has 72 divisors (see below), whose sum is σ = 8517043080. Its totient is φ = 987207936.

The previous prime is 2978313683. The next prime is 2978313697. The reversal of 2978313696 is 6963138792.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978313697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22666 + ... + 80438.

It is an arithmetic number, because the mean of its divisors is an integer number (118292265).

Almost surely, 22978313696 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 2978313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258521540).

2978313696 is an abundant number, since it is smaller than the sum of its proper divisors (5538729384).

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

2978313696 is a wasteful number, since it uses less digits than its factorization.

2978313696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57968 (or 57957 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 2978313696 is about 54573.9287205897. The cubic root of 2978313696 is about 1438.7659334594.

The spelling of 2978313696 in words is "two billion, nine hundred seventy-eight million, three hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 51552 57773 115546 173319 231092 346638 462184 519957 693276 924368 1039914 1386552 1848736 2079828 2773104 4159656 5546208 8319312 10341367 16638624 20682734 31024101 41365468 62048202 82730936 93072303 124096404 165461872 186144606 248192808 330923744 372289212 496385616 744578424 992771232 1489156848 2978313696