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10032412434 = 2311377275651
BaseRepresentation
bin10010101011111101…
…00111011100010010
3221220011202100121220
421111332213130102
5131021244144214
64335301225510
7503420045562
oct112576473422
927804670556
1010032412434
114289042a50
121b3ba02296
13c3b628525
146b259cda2
153dab619a9
hex255fa7712

10032412434 has 64 divisors (see below), whose sum is σ = 22515397632. Its totient is φ = 2953368000.

The previous prime is 10032412427. The next prime is 10032412441. The reversal of 10032412434 is 43421423001.

It is an interprime number because it is at equal distance from previous prime (10032412427) and next prime (10032412441).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772509 + ... + 1778159.

It is an arithmetic number, because the mean of its divisors is an integer number (351803088).

Almost surely, 210032412434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032412434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257698816).

10032412434 is an abundant number, since it is smaller than the sum of its proper divisors (12482985198).

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

10032412434 is a wasteful number, since it uses less digits than its factorization.

10032412434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10032412434 its reverse (43421423001), we get a palindrome (53453835435).

The spelling of 10032412434 in words is "ten billion, thirty-two million, four hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 727 814 1221 1454 2181 2442 4362 5651 7997 11302 15994 16953 23991 26899 33906 47982 53798 62161 80697 124322 161394 186483 209087 295889 372966 418174 591778 627261 887667 1254522 1775334 2299957 4108277 4599914 6899871 8216554 12324831 13799742 24649662 45191047 90382094 135573141 152006249 271146282 304012498 456018747 912037494 1672068739 3344137478 5016206217 10032412434