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11219533640 = 23573111231151
BaseRepresentation
bin10100111001011110…
…00111111101001000
31001221220112100202222
422130233013331020
5140434200034030
65053145313212
7545013314420
oct123457077510
931856470688
1011219533640
114838152757
122211495808
13109a560a03
147860d9480
15459ea63e5
hex29cbc7f48

11219533640 has 128 divisors (see below), whose sum is σ = 29833297920. Its totient is φ = 3716064000.

The previous prime is 11219533631. The next prime is 11219533669. The reversal of 11219533640 is 4633591211.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11219533640.

It is an unprimeable number.

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, 9747065 + ... + 9748215.

It is an arithmetic number, because the mean of its divisors is an integer number (233072640).

Almost surely, 211219533640 is an apocalyptic number.

11219533640 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 11219533640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916648960).

11219533640 is an abundant number, since it is smaller than the sum of its proper divisors (18613764280).

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

11219533640 is a wasteful number, since it uses less digits than its factorization.

11219533640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 11219533640 in words is "eleven billion, two hundred nineteen million, five hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1123 1151 1240 1736 2170 2246 2302 4340 4492 4604 5615 5755 7861 8057 8680 8984 9208 11230 11510 15722 16114 22460 23020 31444 32228 34813 35681 39305 40285 44920 46040 62888 64456 69626 71362 78610 80570 139252 142724 157220 161140 174065 178405 243691 249767 278504 285448 314440 322280 348130 356810 487382 499534 696260 713620 974764 999068 1218455 1248835 1292573 1392520 1427240 1949528 1998136 2436910 2497670 2585146 4873820 4995340 5170292 6462865 9048011 9747640 9990680 10340584 12925730 18096022 25851460 36192044 40069763 45240055 51702920 72384088 80139526 90480110 160279052 180960220 200348815 280488341 320558104 361920440 400697630 560976682 801395260 1121953364 1402441705 1602790520 2243906728 2804883410 5609766820 11219533640