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11060700672 = 29373727803
BaseRepresentation
bin10100100110100010…
…01110011000000000
31001112211122210220110
422103101032120000
5140123014410142
65025313111320
7541044255510
oct122321163000
931484583813
1011060700672
11476652813a
122188258540
13107368b4c8
1476cd91840
1544b07e99c
hex29344e600

11060700672 has 160 divisors (see below), whose sum is σ = 34587286272. Its totient is φ = 3074678784.

The previous prime is 11060700653. The next prime is 11060700719. The reversal of 11060700672 is 27600706011.

It is a happy number.

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, 383923 + ... + 411725.

Almost surely, 211060700672 is an apocalyptic number.

11060700672 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 11060700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293643136).

11060700672 is an abundant number, since it is smaller than the sum of its proper divisors (23526585600).

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

11060700672 is an equidigital number, since it uses as much as digits as its factorization.

11060700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27868 (or 27852 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 11060700672 in words is "eleven billion, sixty million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 512 518 592 672 768 777 888 896 1036 1184 1344 1536 1554 1776 1792 2072 2368 2688 3108 3552 3584 4144 4736 5376 6216 7104 8288 9472 10752 12432 14208 16576 18944 24864 27803 28416 33152 49728 55606 56832 66304 83409 99456 111212 132608 166818 194621 198912 222424 333636 389242 397824 444848 583863 667272 778484 889696 1028711 1167726 1334544 1556968 1779392 2057422 2335452 2669088 3086133 3113936 3558784 4114844 4670904 5338176 6172266 6227872 7117568 7200977 8229688 9341808 10676352 12344532 12455744 14235136 14401954 16459376 18683616 21352704 21602931 24689064 24911488 28803908 32918752 37367232 42705408 43205862 49378128 49822976 57607816 65837504 74734464 86411724 98756256 99645952 115215632 131675008 149468928 172823448 197512512 230431264 263350016 298937856 345646896 395025024 460862528 526700032 691293792 790050048 921725056 1382587584 1580100096 1843450112 2765175168 3686900224 5530350336 11060700672