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2088351096 = 2331379193439
BaseRepresentation
bin111110001111001…
…1011010101111000
312101112121020010220
41330132123111320
513234104213341
6543120340040
7102515456106
oct17436332570
95345536126
102088351096
119819020a7
124a3474620
1327386c910
1415b4d6c76
15c3515a66
hex7c79b578

2088351096 has 128 divisors (see below), whose sum is σ = 5736192000. Its totient is φ = 629710848.

The previous prime is 2088351049. The next prime is 2088351107. The reversal of 2088351096 is 6901538802.

It is a super-2 number, since 2×20883510962 = 8722420600328802432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4756845 + ... + 4757283.

It is an arithmetic number, because the mean of its divisors is an integer number (44814000).

Almost surely, 22088351096 is an apocalyptic number.

2088351096 is a gapful number since it is divisible by the number (26) 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 2088351096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868096000).

2088351096 is an abundant number, since it is smaller than the sum of its proper divisors (3647840904).

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

2088351096 is a wasteful number, since it uses less digits than its factorization.

2088351096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2088351096 is about 45698.4802373121. The cubic root of 2088351096 is about 1278.2069409039.

Adding to 2088351096 its reverse (6901538802), we get a palindrome (8989889898).

The spelling of 2088351096 in words is "two billion, eighty-eight million, three hundred fifty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 193 237 312 316 386 439 474 579 632 772 878 948 1027 1158 1317 1544 1756 1896 2054 2316 2509 2634 3081 3512 4108 4632 5018 5268 5707 6162 7527 8216 10036 10536 11414 12324 15054 15247 17121 20072 22828 24648 30108 30494 34242 34681 45656 45741 60216 60988 68484 69362 84727 91482 104043 121976 136968 138724 169454 182964 198211 208086 254181 277448 338908 365928 396422 416172 450853 508362 594633 677816 792844 832344 901706 1016724 1101451 1189266 1352559 1585688 1803412 2033448 2202902 2378532 2705118 3304353 3606824 4405804 4757064 5410236 6608706 6693433 8811608 10820472 13217412 13386866 20080299 26434824 26773732 40160598 53547464 80321196 87014629 160642392 174029258 261043887 348058516 522087774 696117032 1044175548 2088351096