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16400077424376 = 23317195473867629
BaseRepresentation
bin1110111010100111000011…
…0010100000011011111000
32011001211110121000201222220
43232221300302200123320
54122144324310040001
654514031435444040
73311603131014522
oct356516062403370
964054417021886
1016400077424376
11525326317a958
121a0a5408b6620
1391c69cb94599
14409aa74b6a12
151d690c4b9c36
hexeea70ca06f8

16400077424376 has 128 divisors (see below), whose sum is σ = 45780362784000. Its totient is φ = 4865414141952.

The previous prime is 16400077424371. The next prime is 16400077424383. The reversal of 16400077424376 is 67342477000461.

16400077424376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400077424371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2306530 + ... + 6174158.

It is an arithmetic number, because the mean of its divisors is an integer number (357659084250).

Almost surely, 216400077424376 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 16400077424376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890181392000).

16400077424376 is an abundant number, since it is smaller than the sum of its proper divisors (29380285359624).

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

16400077424376 is a wasteful number, since it uses less digits than its factorization.

16400077424376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868221 (or 3868217 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 16400077424376 in words is "sixteen trillion, four hundred billion, seventy-seven million, four hundred twenty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 547 646 969 1094 1292 1641 1938 2188 2584 3282 3876 4376 6564 7752 9299 10393 13128 18598 20786 27897 31179 37196 41572 55794 62358 74392 83144 111588 124716 176681 223176 249432 353362 530043 706724 1060086 1413448 2120172 3867629 4240344 7735258 11602887 15470516 23205774 30941032 46411548 65749693 73484951 92823096 131499386 146969902 197249079 220454853 262998772 293939804 394498158 440909706 525997544 587879608 788996316 881819412 1249244167 1577992632 1763638824 2115593063 2498488334 3747732501 4231186126 4996976668 6346779189 7495465002 8462372252 9993953336 12693558378 14990930004 16924744504 25387116756 29981860008 35965082071 40196268197 50774233512 71930164142 80392536394 107895246213 120588804591 143860328284 160785072788 215790492426 241177609182 287720656568 321570145576 431580984852 482355218364 683336559349 863161969704 964710436728 1366673118698 2050009678047 2733346237396 4100019356094 5466692474792 8200038712188 16400077424376