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399341729664 = 2733401928751
BaseRepresentation
bin1011100111110101001…
…11110011011110000000
31102011202210220202212000
411303322213303132000
523020322440322124
6503242143104000
740565026460343
oct5637247633600
91364683822760
10399341729664
111443a5aa5129
126548a8a2000
132b87214cb77
14154849ac45a
15a5c3c1a6c9
hex5cfa9f3780

399341729664 has 128 divisors (see below), whose sum is σ = 1178947008000. Its totient is φ = 133076160000.

The previous prime is 399341729629. The next prime is 399341729693. The reversal of 399341729664 is 466927143993.

399341729664 is a `hidden beast` number, since 399 + 34 + 1 + 72 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13875289 + ... + 13904039.

It is an arithmetic number, because the mean of its divisors is an integer number (9210523500).

Almost surely, 2399341729664 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 399341729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589473504000).

399341729664 is an abundant number, since it is smaller than the sum of its proper divisors (779605278336).

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

399341729664 is a wasteful number, since it uses less digits than its factorization.

399341729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32793 (or 32775 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 399341729664 in words is "three hundred ninety-nine billion, three hundred forty-one million, seven hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4019 8038 12057 16076 24114 28751 32152 36171 48228 57502 64304 72342 86253 96456 108513 115004 128608 144684 172506 192912 217026 230008 257216 258759 289368 345012 385824 434052 460016 514432 517518 578736 690024 771648 776277 868104 920032 1035036 1157472 1380048 1543296 1552554 1736208 1840064 2070072 2314944 2760096 3105108 3472416 3680128 4140144 4629888 5520192 6210216 6944832 8280288 11040384 12420432 13889664 16560576 24840864 33121152 49681728 99363456 115550269 231100538 346650807 462201076 693301614 924402152 1039952421 1386603228 1848804304 2079904842 2773206456 3119857263 3697608608 4159809684 5546412912 6239714526 7395217216 8319619368 11092825824 12479429052 14790434432 16639238736 22185651648 24958858104 33278477472 44371303296 49917716208 66556954944 99835432416 133113909888 199670864832 399341729664