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1010457712 = 241123210853
BaseRepresentation
bin111100001110100…
…101110001110000
32121102100120101201
4330032211301300
54032134121322
6244133340544
734016514565
oct7416456160
92542316351
101010457712
11479416920
12242497754
1313145c194
14982b086c
155da99d27
hex3c3a5c70

1010457712 has 60 divisors (see below), whose sum is σ = 2232841464. Its totient is φ = 439288960.

The previous prime is 1010457709. The next prime is 1010457727. The reversal of 1010457712 is 2177540101.

1010457712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87678 + ... + 98530.

Almost surely, 21010457712 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 1010457712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116420732).

1010457712 is an abundant number, since it is smaller than the sum of its proper divisors (1222383752).

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

1010457712 is a wasteful number, since it uses less digits than its factorization.

1010457712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 1010457712 is about 31787.6974944710. The cubic root of 1010457712 is about 1003.4738225833.

Adding to 1010457712 its reverse (2177540101), we get a palindrome (3187997813).

The spelling of 1010457712 in words is "one billion, ten million, four hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 529 1012 1058 2024 2116 4048 4232 5819 8464 10853 11638 21706 23276 43412 46552 86824 93104 119383 173648 238766 249619 477532 499238 955064 998476 1910128 1996952 2745809 3993904 5491618 5741237 10983236 11482474 21966472 22964948 43932944 45929896 63153607 91859792 126307214 252614428 505228856 1010457712