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399056696320 = 210597803513
BaseRepresentation
bin1011100111010011010…
…00011111010000000000
31102011000221120120121111
411303221220133100000
523014232003240240
6503154001533104
740554665644342
oct5635150372000
91364027516544
10399056696320
1114426a113387
126540b344194
132b828092499
1415458bb3292
15a5a8bb61ea
hex5ce9a1f400

399056696320 has 88 divisors (see below), whose sum is σ = 967138376904. Its totient is φ = 157976887296.

The previous prime is 399056696281. The next prime is 399056696327. The reversal of 399056696320 is 23696650993.

It can be written as a sum of positive squares in 4 ways, for example, as 1733223424 + 397323472896 = 41632^2 + 630336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399056696327) 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 7 ways as a sum of consecutive naturals, for example, 94884 + ... + 898396.

Almost surely, 2399056696320 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 399056696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483569188452).

399056696320 is an abundant number, since it is smaller than the sum of its proper divisors (568081680584).

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

399056696320 is an equidigital number, since it uses as much as digits as its factorization.

399056696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803635 (or 803617 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 58.

The spelling of 399056696320 in words is "three hundred ninety-nine billion, fifty-six million, six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 512 640 776 970 1024 1280 1552 1940 2560 3104 3880 5120 6208 7760 12416 15520 24832 31040 49664 62080 99328 124160 248320 496640 803513 1607026 3214052 4017565 6428104 8035130 12856208 16070260 25712416 32140520 51424832 64281040 77940761 102849664 128562080 155881522 205699328 257124160 311763044 389703805 411398656 514248320 623526088 779407610 822797312 1028496640 1247052176 1558815220 2056993280 2494104352 3117630440 4113986560 4988208704 6235260880 9976417408 12470521760 19952834816 24941043520 39905669632 49882087040 79811339264 99764174080 199528348160 399056696320