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10404122432 = 261182917827
BaseRepresentation
bin10011011000010001…
…00100111101000000
3222212002012011212212
421230020210331000
5132301423404212
64440220241252
7515552403314
oct115410447500
928762164785
1010404122432
1144599461a0
1220243a0228
13c9a643282
14709abbb44
1540d5d7e22
hex26c224f40

10404122432 has 56 divisors (see below), whose sum is σ = 22550993760. Its totient is φ = 4723176960.

The previous prime is 10404122341. The next prime is 10404122471. The reversal of 10404122432 is 23422140401.

It is a junction number, because it is equal to n+sod(n) for n = 10404122398 and 10404122407.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 574703 + ... + 592529.

Almost surely, 210404122432 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 10404122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11275496880).

10404122432 is an abundant number, since it is smaller than the sum of its proper divisors (12146871328).

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

10404122432 is a wasteful number, since it uses less digits than its factorization.

10404122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18679 (or 18669 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10404122432 its reverse (23422140401), we get a palindrome (33826262833).

The spelling of 10404122432 in words is "ten billion, four hundred four million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 829 1658 3316 6632 9119 13264 17827 18238 26528 35654 36476 53056 71308 72952 142616 145904 196097 285232 291808 392194 570464 583616 784388 1140928 1568776 3137552 6275104 12550208 14778583 29557166 59114332 118228664 162564413 236457328 325128826 472914656 650257652 945829312 1300515304 2601030608 5202061216 10404122432