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11714293248 = 29377971367
BaseRepresentation
bin10101110100011100…
…11110111000000000
31010020101111202100220
422322032132320000
5142442324340443
65214221543040
7563201564310
oct127216367000
933211452326
1011714293248
114a7145a999
12232b114a80
131148bcc788
147d1ac9440
15488636a83
hex2ba39ee00

11714293248 has 160 divisors (see below), whose sum is σ = 35736712704. Its totient is φ = 3340296192.

The previous prime is 11714293243. The next prime is 11714293273. The reversal of 11714293248 is 84239241711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11714293243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8568661 + ... + 8570027.

Almost surely, 211714293248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11714293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868356352).

11714293248 is an abundant number, since it is smaller than the sum of its proper divisors (24022419456).

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

11714293248 is an equidigital number, since it uses as much as digits as its factorization.

11714293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2176 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The spelling of 11714293248 in words is "eleven billion, seven hundred fourteen million, two hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 797 896 1344 1367 1536 1594 1792 2391 2688 2734 3188 3584 4101 4782 5376 5468 5579 6376 8202 9564 9569 10752 10936 11158 12752 16404 16737 19128 19138 21872 22316 25504 28707 32808 33474 38256 38276 43744 44632 51008 57414 65616 66948 76512 76552 87488 89264 102016 114828 131232 133896 153024 153104 174976 178528 204032 229656 262464 267792 306048 306208 349952 357056 408064 459312 524928 535584 612096 612416 699904 714112 918624 1049856 1071168 1089499 1224192 1224832 1428224 1837248 2099712 2142336 2178998 2449664 2856448 3268497 3674496 4284672 4357996 4899328 6536994 7348992 7626493 8569344 8715992 13073988 14697984 15252986 17431984 22879479 26147976 30505972 34863968 45758958 52295952 61011944 69727936 91517916 104591904 122023888 139455872 183035832 209183808 244047776 278911744 366071664 418367616 488095552 557823488 732143328 836735232 976191104 1464286656 1673470464 1952382208 2928573312 3904764416 5857146624 11714293248