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2498353968 = 2431136712893
BaseRepresentation
bin1001010011101001…
…1101101100110000
320110010002112100110
42110322131230300
520104034311333
61051524221320
7115624441545
oct22472355460
96403075313
102498353968
11107228a350
1259883a840
1330a7a4176
14199b42bcc
15e9503063
hex94e9db30

2498353968 has 80 divisors (see below), whose sum is σ = 7060548096. Its totient is φ = 754955520.

The previous prime is 2498353967. The next prime is 2498353981. The reversal of 2498353968 is 8693538942.

2498353968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×24983539683 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2498353967) 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, 187330 + ... + 200222.

Almost surely, 22498353968 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 2498353968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530274048).

2498353968 is an abundant number, since it is smaller than the sum of its proper divisors (4562194128).

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

2498353968 is a wasteful number, since it uses less digits than its factorization.

2498353968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13282 (or 13276 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The square root of 2498353968 is about 49983.5369696863. The cubic root of 2498353968 is about 1356.9108750163.

The spelling of 2498353968 in words is "two billion, four hundred ninety-eight million, three hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 367 528 734 1101 1468 2202 2936 4037 4404 5872 8074 8808 12111 12893 16148 17616 24222 25786 32296 38679 48444 51572 64592 77358 96888 103144 141823 154716 193776 206288 283646 309432 425469 567292 618864 850938 1134584 1701876 2269168 3403752 4731731 6807504 9463462 14195193 18926924 28390386 37853848 52049041 56780772 75707696 104098082 113561544 156147123 208196164 227123088 312294246 416392328 624588492 832784656 1249176984 2498353968