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1011285968 = 247113126479
BaseRepresentation
bin111100010001101…
…111111111010000
32121110220122112212
4330101233333100
54032342122333
6244203211252
734026534410
oct7421577720
92543818485
101011285968
11479932130
12242816b28
1313168c184
1498448640
155dbb0448
hex3c46ffd0

1011285968 has 80 divisors (see below), whose sum is σ = 2521743360. Its totient is φ = 381283200.

The previous prime is 1011285949. The next prime is 1011285971. The reversal of 1011285968 is 8695821101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24953 + ... + 51431.

It is an arithmetic number, because the mean of its divisors is an integer number (31521792).

Almost surely, 21011285968 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 1011285968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260871680).

1011285968 is an abundant number, since it is smaller than the sum of its proper divisors (1510457392).

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

1011285968 is a wasteful number, since it uses less digits than its factorization.

1011285968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26536 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 41.

The square root of 1011285968 is about 31800.7227590821. The cubic root of 1011285968 is about 1003.7479248437.

The spelling of 1011285968 in words is "one billion, eleven million, two hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 1232 1364 1736 2387 2728 3472 4774 5456 9548 19096 26479 38192 52958 105916 185353 211832 291269 370706 423664 582538 741412 820849 1165076 1482824 1641698 2038883 2330152 2965648 3283396 4077766 4660304 5745943 6566792 8155532 9029339 11491886 13133584 16311064 18058678 22983772 32622128 36117356 45967544 63205373 72234712 91935088 126410746 144469424 252821492 505642984 1011285968