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6857320932 = 223271119130199
BaseRepresentation
bin1100110001011101…
…00110100111100100
3122200220020222220100
412120232212213210
5103020433232212
63052240104100
7331634160210
oct63056464744
918626228810
106857320932
1129a9862790
1213b4605030
1385389b367
14490a19940
152a2033bdc
hex198ba69e4

6857320932 has 144 divisors (see below), whose sum is σ = 22748544000. Its totient is φ = 1687366080.

The previous prime is 6857320907. The next prime is 6857320933. The reversal of 6857320932 is 2390237586.

It is not an unprimeable number, because it can be changed into a prime (6857320933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12432 + ... + 117767.

It is an arithmetic number, because the mean of its divisors is an integer number (157976000).

Almost surely, 26857320932 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 6857320932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374272000).

6857320932 is an abundant number, since it is smaller than the sum of its proper divisors (15891223068).

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

6857320932 is a wasteful number, since it uses less digits than its factorization.

6857320932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130246 (or 130241 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6857320932 is about 82808.9423432035. The cubic root of 6857320932 is about 1899.8449487508.

The spelling of 6857320932 in words is "six billion, eight hundred fifty-seven million, three hundred twenty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 26334 52668 130199 260398 390597 520796 781194 911393 1171791 1432189 1562388 1822786 2343582 2473781 2734179 2864378 3645572 4296567 4687164 4947562 5468358 5728756 7421343 8202537 8593134 9895124 10025323 10936716 12889701 14842686 16405074 17186268 17316467 20050646 22264029 25779402 27211591 29685372 30075969 32810148 34632934 40101292 44528058 51558804 51949401 54423182 60151938 69265868 81634773 89056116 90227907 103898802 108846364 120303876 155848203 163269546 180455814 190481137 207797604 244904319 311696406 326539092 360911628 380962274 489808638 571443411 623392812 761924548 979617276 1142886822 1714330233 2285773644 3428660466 6857320932