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10234413546 = 2372397239457
BaseRepresentation
bin10011000100000010…
…01100000111101010
3222102020212002001120
421202001030013222
5131430002213141
64411315000110
7511422036240
oct114201140752
928366762046
1010234413546
114382072415
121b97599036
13c71433606
146d1342790
153ed763c66
hex26204c1ea

10234413546 has 128 divisors (see below), whose sum is σ = 24819056640. Its totient is φ = 2750533632.

The previous prime is 10234413533. The next prime is 10234413571. The reversal of 10234413546 is 64531443201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22394550 + ... + 22395006.

It is an arithmetic number, because the mean of its divisors is an integer number (193898880).

Almost surely, 210234413546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234413546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409528320).

10234413546 is an abundant number, since it is smaller than the sum of its proper divisors (14584643094).

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

10234413546 is a wasteful number, since it uses less digits than its factorization.

10234413546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10234413546 its reverse (64531443201), we get a palindrome (74765856747).

The spelling of 10234413546 in words is "ten billion, two hundred thirty-four million, four hundred thirteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 97 138 161 194 239 291 322 457 478 483 582 679 717 914 966 1358 1371 1434 1673 2037 2231 2742 3199 3346 4074 4462 5019 5497 6398 6693 9597 10038 10511 10994 13386 15617 16491 19194 21022 23183 31234 31533 32982 38479 44329 46366 46851 63066 69549 73577 76958 88658 93702 109223 115437 132987 139098 147154 162281 218446 220731 230874 265974 310303 324562 327669 441462 486843 533209 620606 655338 764561 930909 973686 1019567 1066418 1529122 1599627 1861818 2039134 2293683 2512129 3058701 3199254 3732463 4587366 5024258 6117402 7136969 7464926 7536387 10594631 11197389 14273938 15072774 17584903 21189262 21410907 22394778 31783893 35169806 42821814 52754709 63567786 74162417 105509418 148324834 222487251 243676513 444974502 487353026 731029539 1462059078 1705735591 3411471182 5117206773 10234413546