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2096677248 = 2734322953
BaseRepresentation
bin111110011111000…
…1100000110000000
312102010021020110220
41330332030012000
513243222132443
6544015023040
7102646314441
oct17476140600
95363236426
102096677248
11986579716
124a620aa80
132754c6633
1415c6632c8
15c410ca83
hex7cf8c180

2096677248 has 96 divisors (see below), whose sum is σ = 5703760440. Its totient is φ = 682407936.

The previous prime is 2096677243. The next prime is 2096677259. The reversal of 2096677248 is 8427766902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2096677248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096677243) 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, 708540 + ... + 711492.

Almost surely, 22096677248 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 2096677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851880220).

2096677248 is an abundant number, since it is smaller than the sum of its proper divisors (3607083192).

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

2096677248 is an equidigital number, since it uses as much as digits as its factorization.

2096677248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 2096677248 is about 45789.4884007236. The cubic root of 2096677248 is about 1279.9034041689.

The spelling of 2096677248 in words is "two billion, ninety-six million, six hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 1849 2064 2752 2953 3698 4128 5504 5547 5906 7396 8256 8859 11094 11812 14792 16512 17718 22188 23624 29584 35436 44376 47248 59168 70872 88752 94496 118336 126979 141744 177504 188992 236672 253958 283488 355008 377984 380937 507916 566976 710016 761874 1015832 1133952 1523748 2031664 3047496 4063328 5460097 6094992 8126656 10920194 12189984 16253312 16380291 21840388 24379968 32760582 43680776 48759936 65521164 87361552 131042328 174723104 262084656 349446208 524169312 698892416 1048338624 2096677248