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2097168528 = 243713736577
BaseRepresentation
bin111110100000000…
…0100000010010000
312102011012012101110
41331000010002100
513243333343103
6544033333320
7102653431650
oct17500040220
95364165343
102097168528
11986884834
124a6407240
13275639130
1415c750360
15c41a8403
hex7d004090

2097168528 has 160 divisors (see below), whose sum is σ = 6760289536. Its totient is φ = 545439744.

The previous prime is 2097168487. The next prime is 2097168539. The reversal of 2097168528 is 8258617902.

It is a super-3 number, since 3×20971685283 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315576 + ... + 322152.

Almost surely, 22097168528 is an apocalyptic number.

2097168528 is a gapful number since it is divisible by the number (28) 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 2097168528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380144768).

2097168528 is an abundant number, since it is smaller than the sum of its proper divisors (4663121008).

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

2097168528 is a wasteful number, since it uses less digits than its factorization.

2097168528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 2097168528 is about 45794.8526365136. The cubic root of 2097168528 is about 1280.0033626214.

The spelling of 2097168528 in words is "two billion, ninety-seven million, one hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 73 78 84 91 104 112 146 156 168 182 208 219 273 292 312 336 364 438 511 546 584 624 728 876 949 1022 1092 1168 1456 1533 1752 1898 2044 2184 2847 3066 3504 3796 4088 4368 5694 6132 6577 6643 7592 8176 11388 12264 13154 13286 15184 19731 19929 22776 24528 26308 26572 39462 39858 45552 46039 52616 53144 78924 79716 85501 92078 105232 106288 138117 157848 159432 171002 184156 256503 276234 315696 318864 342004 368312 480121 513006 552468 598507 684008 736624 960242 1026012 1104936 1197014 1368016 1440363 1795521 1920484 2052024 2209872 2394028 2880726 3360847 3591042 3840968 4104048 4788056 5761452 6241573 6721694 7182084 7681936 9576112 10082541 11522904 12483146 13443388 14364168 18724719 20165082 23045808 24966292 26886776 28728336 37449438 40330164 43691011 49932584 53773552 74898876 80660328 87382022 99865168 131073033 149797752 161320656 174764044 262146066 299595504 349528088 524292132 699056176 1048584264 2097168528