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6400497712 = 247436121787
BaseRepresentation
bin1011111010111111…
…11101100000110000
3121112001122222020211
411331133331200300
5101102011411322
62535040513504
7314416222120
oct57537754060
917461588224
106400497712
112794a06734
1212a761b894
137b0052a6b
1444a0a2c80
15276d98b77
hex17d7fd830

6400497712 has 80 divisors (see below), whose sum is σ = 14740540672. Its totient is φ = 2635234560.

The previous prime is 6400497679. The next prime is 6400497713. The reversal of 6400497712 is 2177940046.

It is a super-2 number, since 2×64004977122 = 81932741922634469888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6400497713) 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, 282883 + ... + 304669.

Almost surely, 26400497712 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 6400497712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370270336).

6400497712 is an abundant number, since it is smaller than the sum of its proper divisors (8340042960).

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

6400497712 is a wasteful number, since it uses less digits than its factorization.

6400497712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21906 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 6400497712 is about 80003.1106395245. The cubic root of 6400497712 is about 1856.6836608322.

The spelling of 6400497712 in words is "six billion, four hundred million, four hundred ninety-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 43 56 61 86 112 122 172 244 301 344 427 488 602 688 854 976 1204 1708 2408 2623 3416 4816 5246 6832 10492 18361 20984 21787 36722 41968 43574 73444 87148 146888 152509 174296 293776 305018 348592 610036 936841 1220072 1329007 1873682 2440144 2658014 3747364 5316028 6557887 7494728 9303049 10632056 13115774 14989456 18606098 21264112 26231548 37212196 52463096 57147301 74424392 104926192 114294602 148848784 228589204 400031107 457178408 800062214 914356816 1600124428 3200248856 6400497712