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10932952968 = 2337789269
BaseRepresentation
bin10100010111010011…
…11001111110001000
31001012221021120000000
422023221321332020
5134342313443333
65004511043000
7534633365310
oct121351717610
931187246000
1010932952968
114700404423
122151510460
131053080c52
1475a01a440
1543ec48713
hex28ba79f88

10932952968 has 128 divisors (see below), whose sum is σ = 35136672000. Its totient is φ = 3123665856.

The previous prime is 10932952897. The next prime is 10932952969. The reversal of 10932952968 is 86925923901.

It is a happy number.

10932952968 is a `hidden beast` number, since 1 + 0 + 93 + 29 + 529 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10932952969) 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, 77838 + ... + 167106.

It is an arithmetic number, because the mean of its divisors is an integer number (274505250).

Almost surely, 210932952968 is an apocalyptic number.

10932952968 is a gapful number since it is divisible by the number (18) 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 10932952968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17568336000).

10932952968 is an abundant number, since it is smaller than the sum of its proper divisors (24203719032).

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

10932952968 is an frugal number, since it uses more digits than its factorization.

10932952968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89303 (or 89281 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10932952968 in words is "ten billion, nine hundred thirty-two million, nine hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6804 8748 10206 13608 15309 17496 20412 30618 40824 61236 89269 122472 178538 267807 357076 535614 624883 714152 803421 1071228 1249766 1606842 1874649 2142456 2410263 2499532 3213684 3749298 4820526 4999064 5623947 6427368 7230789 7498596 9641052 11247894 14461578 14997192 16871841 19282104 21692367 22495788 28923156 33743682 43384734 44991576 50615523 57846312 65077101 67487364 86769468 101231046 130154202 134974728 151846569 173538936 195231303 202462092 260308404 303693138 390462606 404924184 455539707 520616808 607386276 780925212 911079414 1214772552 1366619121 1561850424 1822158828 2733238242 3644317656 5466476484 10932952968