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402126876112 = 241373257103049
BaseRepresentation
bin1011101101000001010…
…00010010110111010000
31102102221220122212112011
411312200220102313100
523042023440013422
6504422354312304
741024036023003
oct5664050226720
91372856585464
10402126876112
111455a5157955
1265b27588694
132bbc7179310
141566a84753a
15a6d84be077
hex5da0a12dd0

402126876112 has 80 divisors (see below), whose sum is σ = 853864880400. Its totient is φ = 182340550656.

The previous prime is 402126876079. The next prime is 402126876121. The reversal of 402126876112 is 211678621204.

It can be written as a sum of positive squares in 8 ways, for example, as 1027587136 + 401099288976 = 32056^2 + 633324^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3850764 + ... + 3953812.

It is an arithmetic number, because the mean of its divisors is an integer number (10673311005).

Almost surely, 2402126876112 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 402126876112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426932440200).

402126876112 is an abundant number, since it is smaller than the sum of its proper divisors (451738004288).

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

402126876112 is a wasteful number, since it uses less digits than its factorization.

402126876112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103400 (or 103394 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 402126876112 in words is "four hundred two billion, one hundred twenty-six million, eight hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 257 292 514 584 949 1028 1168 1898 2056 3341 3796 4112 6682 7592 13364 15184 18761 26728 37522 53456 75044 103049 150088 206098 243893 300176 412196 487786 824392 975572 1339637 1648784 1951144 2679274 3902288 5358548 7522577 10717096 15045154 21434192 26483593 30090308 52967186 60180616 97793501 105934372 120361232 195587002 211868744 344286709 391174004 423737488 688573418 782348008 1377146836 1564696016 1933302289 2754293672 3866604578 5508587344 7733209156 15466418312 25132929757 30932836624 50265859514 100531719028 201063438056 402126876112