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10115666550 = 2325211316889
BaseRepresentation
bin10010110101111000…
…01101001001110110
3222002222102002210200
421122330031021312
5131204102312200
64351433501330
7505450514133
oct113274151166
928088362720
1010115666550
114321037000
121b63871846
13c52957b12
146bd67158a
153e3109800
hex25af0d276

10115666550 has 144 divisors (see below), whose sum is σ = 29894894640. Its totient is φ = 2452137600.

The previous prime is 10115666521. The next prime is 10115666551. The reversal of 10115666550 is 5566651101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115666551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 590506 + ... + 607394.

It is an arithmetic number, because the mean of its divisors is an integer number (207603435).

Almost surely, 210115666550 is an apocalyptic number.

10115666550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10115666550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947447320).

10115666550 is an abundant number, since it is smaller than the sum of its proper divisors (19779228090).

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

10115666550 is a wasteful number, since it uses less digits than its factorization.

10115666550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940 (or 16910 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

It can be divided in two parts, 101 and 15666550, that added together give a palindrome (15666651).

The spelling of 10115666550 in words is "ten billion, one hundred fifteen million, six hundred sixty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 1089 1210 1331 1650 1815 2178 2475 2662 3025 3630 3993 4950 5445 6050 6655 7986 9075 10890 11979 13310 16889 18150 19965 23958 27225 33275 33778 39930 50667 54450 59895 66550 84445 99825 101334 119790 152001 168890 185779 199650 253335 299475 304002 371558 422225 506670 557337 598950 760005 844450 928895 1114674 1266675 1520010 1672011 1857790 2043569 2533350 2786685 3344022 3800025 4087138 4644475 5573370 6130707 7600050 8360055 9288950 10217845 12261414 13933425 16720110 18392121 20435690 22479259 27866850 30653535 36784242 41800275 44958518 51089225 61307070 67437777 83600550 91960605 102178450 112396295 134875554 153267675 183921210 202313331 224792590 306535350 337188885 404626662 459803025 561981475 674377770 919606050 1011566655 1123962950 1685944425 2023133310 3371888850 5057833275 10115666550