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10606869312 = 2631312733461
BaseRepresentation
bin10011110000011011…
…11111101101000000
31000101012200210022120
421320031333231000
5133210324304222
64512302004240
7523563621144
oct117015775500
930335623276
1010606869312
1145533349a6
122080276680
13100064c940
147289b7224
154212d615c
hex27837fb40

10606869312 has 112 divisors (see below), whose sum is σ = 30461663232. Its totient is φ = 3237857280.

The previous prime is 10606869257. The next prime is 10606869367. The reversal of 10606869312 is 21396860601.

It is an interprime number because it is at equal distance from previous prime (10606869257) and next prime (10606869367).

It is a super-2 number, since 2×106068693122 (a number of 21 digits) contains 22 as substring.

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, 300262 + ... + 333722.

It is an arithmetic number, because the mean of its divisors is an integer number (271979136).

Almost surely, 210606869312 is an apocalyptic number.

10606869312 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 10606869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230831616).

10606869312 is an abundant number, since it is smaller than the sum of its proper divisors (19854793920).

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

10606869312 is a wasteful number, since it uses less digits than its factorization.

10606869312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33616 (or 33606 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 10606869312 in words is "ten billion, six hundred six million, eight hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 192 208 254 312 381 416 508 624 762 832 1016 1248 1524 1651 2032 2496 3048 3302 4064 4953 6096 6604 8128 9906 12192 13208 19812 24384 26416 33461 39624 52832 66922 79248 100383 105664 133844 158496 200766 267688 316992 401532 434993 535376 803064 869986 1070752 1304979 1606128 1739972 2141504 2609958 3212256 3479944 4249547 5219916 6424512 6959888 8499094 10439832 12748641 13919776 16998188 20879664 25497282 27839552 33996376 41759328 50994564 55244111 67992752 83518656 101989128 110488222 135985504 165732333 203978256 220976444 271971008 331464666 407956512 441952888 662929332 815913024 883905776 1325858664 1767811552 2651717328 3535623104 5303434656 10606869312