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10489194792 = 233442138449
BaseRepresentation
bin10011100010011010…
…00110100100101000
31000002000021022020000
421301031012210220
5132440213213132
64452455503000
7520634453556
oct116115064450
930060238200
1010489194792
1144a297132a
122048987a60
13cb215b34b
14717104bd6
15415cde87c
hex271346928

10489194792 has 80 divisors (see below), whose sum is σ = 29450008500. Its totient is φ = 3488002560.

The previous prime is 10489194767. The next prime is 10489194823. The reversal of 10489194792 is 29749198401.

10489194792 is a `hidden beast` number, since 1 + 0 + 489 + 1 + 94 + 79 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6094300356 + 4394894436 = 78066^2 + 66294^2 .

It is a super-2 number, since 2×104891947922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 253584 + ... + 292032.

Almost surely, 210489194792 is an apocalyptic number.

10489194792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10489194792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725004250).

10489194792 is an abundant number, since it is smaller than the sum of its proper divisors (18960813708).

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

10489194792 is a wasteful number, since it uses less digits than its factorization.

10489194792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38888 (or 38875 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10489194792 in words is "ten billion, four hundred eighty-nine million, one hundred ninety-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 421 648 842 1263 1684 2526 3368 3789 5052 7578 10104 11367 15156 22734 30312 34101 38449 45468 68202 76898 90936 115347 136404 153796 230694 272808 307592 346041 461388 692082 922776 1038123 1384164 2076246 2768328 3114369 4152492 6228738 8304984 12457476 16187029 24914952 32374058 48561087 64748116 97122174 129496232 145683261 194244348 291366522 388488696 437049783 582733044 874099566 1165466088 1311149349 1748199132 2622298698 3496398264 5244597396 10489194792