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6404646912 = 21131723607
BaseRepresentation
bin1011111011011111…
…10010100000000000
3121112100110202212220
411331233302200000
5101104042200122
62535305451040
7314466412656
oct57557624000
917470422786
106404646912
112797290024
1212a8aa0a80
137b0b76501
1444a862dd6
1527741825c
hex17dbf2800

6404646912 has 144 divisors (see below), whose sum is σ = 18143405280. Its totient is φ = 2008743936.

The previous prime is 6404646889. The next prime is 6404646931. The reversal of 6404646912 is 2196464046.

It is a super-2 number, since 2×64046469122 = 82039004134782271488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773813 + ... + 1777419.

It is an arithmetic number, because the mean of its divisors is an integer number (125995870).

Almost surely, 26404646912 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 6404646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071702640).

6404646912 is an abundant number, since it is smaller than the sum of its proper divisors (11738758368).

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

6404646912 is a wasteful number, since it uses less digits than its factorization.

6404646912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6404646912 is about 80029.0379299914. The cubic root of 6404646912 is about 1857.0847800424.

The spelling of 6404646912 in words is "six billion, four hundred four million, six hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1024 1088 1156 1536 1632 1734 2048 2176 2312 3072 3264 3468 3607 4352 4624 6144 6528 6936 7214 8704 9248 10821 13056 13872 14428 17408 18496 21642 26112 27744 28856 34816 36992 43284 52224 55488 57712 61319 73984 86568 104448 110976 115424 122638 147968 173136 183957 221952 230848 245276 295936 346272 367914 443904 461696 490552 591872 692544 735828 887808 923392 981104 1042423 1385088 1471656 1775616 1846784 1962208 2084846 2770176 2943312 3127269 3693568 3924416 4169692 5540352 5886624 6254538 7387136 7848832 8339384 11080704 11773248 12509076 15697664 16678768 22161408 23546496 25018152 31395328 33357536 47092992 50036304 62790656 66715072 94185984 100072608 125581312 133430144 188371968 200145216 266860288 376743936 400290432 533720576 800580864 1067441152 1601161728 2134882304 3202323456 6404646912