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43077466146 = 231113413533469
BaseRepresentation
bin101000000111100111…
…011111100000100010
311010012010212000102010
4220013213133200202
51201210312404041
631442311333350
73053333264211
oct500747374042
9133163760363
1043077466146
11172a61199a0
128422681256
1340a681aa50
1421291bb078
1511c1c7da16
hexa079df822

43077466146 has 128 divisors (see below), whose sum is σ = 104009391360. Its totient is φ = 11719065600.

The previous prime is 43077466129. The next prime is 43077466171. The reversal of 43077466146 is 64166477034.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 43077466095 and 43077466104.

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 63 ways as a sum of consecutive naturals, for example, 12416100 + ... + 12419568.

It is an arithmetic number, because the mean of its divisors is an integer number (812573370).

Almost surely, 243077466146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43077466146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52004695680).

43077466146 is an abundant number, since it is smaller than the sum of its proper divisors (60931925214).

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

43077466146 is a wasteful number, since it uses less digits than its factorization.

43077466146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892.

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 43077466146 in words is "forty-three billion, seventy-seven million, four hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 41 66 78 82 123 143 246 286 353 429 451 533 706 858 902 1059 1066 1353 1599 2118 2706 3198 3469 3883 4589 5863 6938 7766 9178 10407 11649 11726 13767 14473 17589 20814 23298 27534 28946 35178 38159 43419 45097 50479 76318 86838 90194 100958 114477 135291 142229 151437 159203 188149 228954 270582 284458 302874 318406 376298 426687 477609 496067 564447 853374 955218 992134 1128894 1224557 1488201 1564519 1848977 2069639 2449114 2976402 3129038 3673671 3697954 4139278 4693557 5546931 6208917 7347342 9387114 11093862 12417834 13470127 15919241 20338747 26940254 31838482 40410381 40677494 47757723 50206837 61016241 80820762 95515446 100413674 122032482 150620511 175111651 301241022 350223302 525334953 552275207 652688881 1050669906 1104550414 1305377762 1656825621 1958066643 3313651242 3916133286 7179577691 14359155382 21538733073 43077466146