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2096687976 = 2333127110399
BaseRepresentation
bin111110011111000…
…1110101101101000
312102010021210012020
41330332032231220
513243223003401
6544015144440
7102646360635
oct17476165550
95363253166
102096687976
11986586789
124a6215120
132754cb496
1415c66718c
15c4110d36
hex7cf8eb68

2096687976 has 64 divisors (see below), whose sum is σ = 5431296000. Its totient is φ = 673790400.

The previous prime is 2096687959. The next prime is 2096687977. The reversal of 2096687976 is 6797866902.

It is a super-2 number, since 2×20966879762 = 8792200937405953152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2096687977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 196425 + ... + 206823.

It is an arithmetic number, because the mean of its divisors is an integer number (84864000).

Almost surely, 22096687976 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 2096687976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715648000).

2096687976 is an abundant number, since it is smaller than the sum of its proper divisors (3334608024).

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

2096687976 is a wasteful number, since it uses less digits than its factorization.

2096687976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10710 (or 10706 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The square root of 2096687976 is about 45789.6055453637. The cubic root of 2096687976 is about 1279.9055871118.

The spelling of 2096687976 in words is "two billion, ninety-six million, six hundred eighty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 271 372 542 744 813 1084 1626 2168 3252 6504 8401 10399 16802 20798 25203 31197 33604 41596 50406 62394 67208 83192 100812 124788 201624 249576 322369 644738 967107 1289476 1934214 2578952 2818129 3868428 5636258 7736856 8454387 11272516 16908774 22545032 33817548 67635096 87361999 174723998 262085997 349447996 524171994 698895992 1048343988 2096687976