Search a number
-
+
10420611632024 = 2311599292160443
BaseRepresentation
bin1001011110100011110011…
…0110101100101110011000
31100220012102100020000110212
42113220330312230232120
52331212403034211044
634055055104030252
72123602320256046
oct227507466545630
940805370200425
1010420611632024
1133583a1668650
121203701902388
135a7875ab0719
1428050890b396
151310e6121a9e
hex97a3cdacb98

10420611632024 has 64 divisors (see below), whose sum is σ = 21699499536000. Its totient is φ = 4651345208320.

The previous prime is 10420611632021. The next prime is 10420611632051. The reversal of 10420611632024 is 42023611602401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420611632021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3743147 + ... + 5903589.

It is an arithmetic number, because the mean of its divisors is an integer number (339054680250).

Almost surely, 210420611632024 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 10420611632024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849749768000).

10420611632024 is an abundant number, since it is smaller than the sum of its proper divisors (11278887903976).

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

10420611632024 is a wasteful number, since it uses less digits than its factorization.

10420611632024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161448 (or 2161444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10420611632024 in words is "ten trillion, four hundred twenty billion, six hundred eleven million, six hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 929 1298 1858 2596 3716 5192 7432 10219 20438 40876 54811 81752 109622 219244 438488 602921 1205842 2160443 2411684 4320886 4823368 8641772 17283544 23764873 47529746 95059492 127466137 190118984 254932274 509864548 1019729096 1402127507 2007051547 2804255014 4014103094 5608510028 8028206188 11217020056 16056412376 22077567017 44155134034 88310268068 118416041273 176620536136 236832082546 473664165092 947328330184 1302576454003 2605152908006 5210305816012 10420611632024