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10410410004 = 223191392631249
BaseRepresentation
bin10011011001000001…
…00100000000010100
3222212112000121210220
421230200210000110
5132310031110004
64441003114340
7515660011401
oct115440440024
928775017726
1010410410004
114462450135
1220265129b0
13c9ba35127
1470a8772a8
1540de2add9
hex26c824014

10410410004 has 96 divisors (see below), whose sum is σ = 25872000000. Its totient is φ = 3248833536.

The previous prime is 10410409991. The next prime is 10410410009. The reversal of 10410410004 is 40001401401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410410009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8334372 + ... + 8335620.

It is an arithmetic number, because the mean of its divisors is an integer number (269500000).

Almost surely, 210410410004 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 10410410004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936000000).

10410410004 is an abundant number, since it is smaller than the sum of its proper divisors (15461589996).

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

10410410004 is a wasteful number, since it uses less digits than its factorization.

10410410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10410410004 its reverse (40001401401), we get a palindrome (50411811405).

The spelling of 10410410004 in words is "ten billion, four hundred ten million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 263 278 417 526 556 789 834 1052 1249 1578 1668 2498 2641 3156 3747 4996 4997 5282 7494 7923 9994 10564 14988 14991 15846 19988 23731 29982 31692 36557 47462 59964 71193 73114 94924 109671 142386 146228 173611 219342 284772 328487 347222 438684 520833 656974 694444 694583 985461 1041666 1313948 1389166 1970922 2083332 2083749 2778332 3298609 3941844 4167498 6241253 6597218 8334996 9895827 12482506 13194436 18723759 19791654 24965012 37447518 39583308 45659693 74895036 91319386 136979079 182638772 273958158 547916316 867534167 1735068334 2602602501 3470136668 5205205002 10410410004