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1997632648 = 2311107353601
BaseRepresentation
bin111011100010001…
…0111010010001000
312011012220020211101
41313010113102020
513042343221043
6530120111144
7100334411614
oct16704272210
95135806741
101997632648
1193567aa80
124790054b4
1325ab2896b
1414d440344
15ba59624d
hex77117488

1997632648 has 64 divisors (see below), whose sum is σ = 4142819520. Its totient is φ = 895488000.

The previous prime is 1997632613. The next prime is 1997632649. The reversal of 1997632648 is 8462367991.

It is not an unprimeable number, because it can be changed into a prime (1997632649) 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, 3323548 + ... + 3324148.

It is an arithmetic number, because the mean of its divisors is an integer number (64731555).

Almost surely, 21997632648 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 1997632648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071409760).

1997632648 is an abundant number, since it is smaller than the sum of its proper divisors (2145186872).

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

1997632648 is a wasteful number, since it uses less digits than its factorization.

1997632648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The square root of 1997632648 is about 44694.8839130386. The cubic root of 1997632648 is about 1259.4237408561.

The spelling of 1997632648 in words is "one billion, nine hundred ninety-seven million, six hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 107 214 353 428 601 706 856 1177 1202 1412 2354 2404 2824 3883 4708 4808 6611 7766 9416 13222 15532 26444 31064 37771 52888 64307 75542 128614 151084 212153 257228 302168 415481 424306 514456 707377 830962 848612 1414754 1661924 1697224 2333683 2829508 3323848 4667366 5659016 9334732 18669464 22700371 45400742 90801484 181602968 249704081 499408162 998816324 1997632648