Search a number
-
+
10391408976 = 2431347354317
BaseRepresentation
bin10011010110110000…
…00101000101010000
3222211012021021022010
421223120011011100
5132240200041401
64435043542520
7515336342664
oct115330050520
928735237263
1010391408976
114452752403
12202008aa40
13c97b11610
1470812c8a4
1540c425ed6
hex26b605150

10391408976 has 80 divisors (see below), whose sum is σ = 29524610304. Its totient is φ = 3129318912.

The previous prime is 10391408957. The next prime is 10391408977. The reversal of 10391408976 is 67980419301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10391408977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147831 + ... + 206486.

Almost surely, 210391408976 is an apocalyptic number.

10391408976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10391408976 is an abundant number, since it is smaller than the sum of its proper divisors (19133201328).

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

10391408976 is a wasteful number, since it uses less digits than its factorization.

10391408976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354388 (or 354382 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 10391408976 in words is "ten billion, three hundred ninety-one million, four hundred eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 4888 7332 9776 14664 29328 354317 708634 1062951 1417268 2125902 2834536 4251804 4606121 5669072 8503608 9212242 13818363 16652899 17007216 18424484 27636726 33305798 36848968 49958697 55273452 66611596 73697936 99917394 110546904 133223192 199834788 216487687 221093808 266446384 399669576 432975374 649463061 799339152 865950748 1298926122 1731901496 2597852244 3463802992 5195704488 10391408976