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10660646640 = 2435720693067
BaseRepresentation
bin10011110110110110…
…01000111011110000
31000111221212221221110
421323123020323300
5133313111143030
64521502353320
7525116000310
oct117333107360
930457787843
1010660646640
114580725676
12209628b840
13100b82b447
14731bb5440
15425daa1b0
hex27b6c8ef0

10660646640 has 160 divisors (see below), whose sum is σ = 37799723520. Its totient is φ = 2434747392.

The previous prime is 10660646629. The next prime is 10660646641. The reversal of 10660646640 is 4664606601.

It is a super-2 number, since 2×106606466402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10660646641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3474387 + ... + 3477453.

It is an arithmetic number, because the mean of its divisors is an integer number (236248272).

Almost surely, 210660646640 is an apocalyptic number.

10660646640 is a gapful number since it is divisible by the number (10) 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 10660646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18899861760).

10660646640 is an abundant number, since it is smaller than the sum of its proper divisors (27139076880).

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

10660646640 is a wasteful number, since it uses less digits than its factorization.

10660646640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10660646640 in words is "ten billion, six hundred sixty million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2069 3067 4138 6134 6207 8276 9201 10345 12268 12414 14483 15335 16552 18402 20690 21469 24536 24828 28966 30670 31035 33104 36804 41380 42938 43449 46005 49072 49656 57932 61340 62070 64407 72415 73608 82760 85876 86898 92010 99312 107345 115864 122680 124140 128814 144830 147216 165520 171752 173796 184020 214690 217245 231728 245360 248280 257628 289660 322035 343504 347592 368040 429380 434490 496560 515256 579320 644070 695184 736080 858760 868980 1030512 1158640 1288140 1717520 1737960 2576280 3475920 5152560 6345623 12691246 19036869 25382492 31728115 38073738 44419361 50764984 63456230 76147476 88838722 95184345 101529968 126912460 133258083 152294952 177677444 190368690 222096805 253824920 266516166 304589904 355354888 380737380 444193610 507649840 533032332 666290415 710709776 761474760 888387220 1066064664 1332580830 1522949520 1776774440 2132129328 2665161660 3553548880 5330323320 10660646640