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6742803456 = 210322925229
BaseRepresentation
bin1100100011110011…
…10000010000000000
3122101220202220110100
412101321300100000
5102302124202311
63033025402400
7326043612054
oct62171602000
918356686410
106742803456
112950156044
121382199400
13835c43a3c
1447d729c64
15296e62a56
hex191e70400

6742803456 has 132 divisors (see below), whose sum is σ = 20141865900. Its totient is φ = 2170011648.

The previous prime is 6742803443. The next prime is 6742803511. The reversal of 6742803456 is 6543082476.

It can be written as a sum of positive squares in 2 ways, for example, as 1696121856 + 5046681600 = 41184^2 + 71040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254650 + ... + 279878.

Almost surely, 26742803456 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 6742803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10070932950).

6742803456 is an abundant number, since it is smaller than the sum of its proper divisors (13399062444).

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

6742803456 is a wasteful number, since it uses less digits than its factorization.

6742803456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25284 (or 25263 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6742803456 is about 82114.5751739604. The cubic root of 6742803456 is about 1889.2097006583.

The spelling of 6742803456 in words is "six billion, seven hundred forty-two million, eight hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 8352 9216 11136 14848 16704 22272 25229 29696 33408 44544 50458 66816 75687 89088 100916 133632 151374 201832 227061 267264 302748 403664 454122 605496 731641 807328 908244 1210992 1463282 1614656 1816488 2194923 2421984 2926564 3229312 3632976 4389846 4843968 5853128 6458624 6584769 7265952 8779692 9687936 11706256 12917248 13169538 14531904 17559384 19375872 23412512 25834496 26339076 29063808 35118768 38751744 46825024 52678152 58127616 70237536 77503488 93650048 105356304 116255232 140475072 187300096 210712608 232510464 280950144 374600192 421425216 561900288 749200384 842850432 1123800576 1685700864 2247601152 3371401728 6742803456