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400107410772 = 2232910728573761
BaseRepresentation
bin1011101001010000100…
…00101001010101010100
31102020202011200101212120
411310220100221111110
523023404444121042
6503450134215540
740623014606646
oct5645020512524
91366664611776
10400107410772
11144759225733
12656631b45b0
132b964978004
1415518562896
15a61b063dec
hex5d28429554

400107410772 has 96 divisors (see below), whose sum is σ = 975402933120. Its totient is φ = 127488184320.

The previous prime is 400107410771. The next prime is 400107410789. The reversal of 400107410772 is 277014701004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400107410771) 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, 106381372 + ... + 106385132.

It is an arithmetic number, because the mean of its divisors is an integer number (10160447220).

Almost surely, 2400107410772 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 400107410772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487701466560).

400107410772 is an abundant number, since it is smaller than the sum of its proper divisors (575295522348).

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

400107410772 is a wasteful number, since it uses less digits than its factorization.

400107410772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 400107410772 in words is "four hundred billion, one hundred seven million, four hundred ten thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 1284 2857 3103 3761 5714 6206 7522 8571 9309 11283 11428 12412 15044 17142 18618 22566 34284 37236 45132 82853 109069 165706 218138 248559 305699 327207 331412 402427 436276 497118 611398 654414 804854 917097 994236 1207281 1222796 1308828 1609708 1834194 2414562 3668388 4829124 8865271 10745177 11670383 17730542 21490354 23340766 26595813 32235531 35011149 35461084 42980708 46681532 53191626 64471062 70022298 106383252 128942124 140044596 311610133 623220266 934830399 1149733939 1246440532 1869660798 2299467878 3449201817 3739321596 4598935756 6898403634 13796807268 33342284231 66684568462 100026852693 133369136924 200053705386 400107410772