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11374633314 = 23211237191739
BaseRepresentation
bin10101001011111101…
…10010000101100010
31002100201101020112100
422211332302011202
5141243401231224
65120405511230
7551605534152
oct124576620542
932321336470
1011374633314
114907758400
122255412516
1310c3726b75
1479c950762
154688e1ac9
hex2a5fb2162

11374633314 has 144 divisors (see below), whose sum is σ = 28004820480. Its totient is φ = 3331627200.

The previous prime is 11374633307. The next prime is 11374633327. The reversal of 11374633314 is 41333647311.

11374633314 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 4 + 633 + 3 + 14 = 666.

11374633314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15391557 + ... + 15392295.

It is an arithmetic number, because the mean of its divisors is an integer number (194477920).

Almost surely, 211374633314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11374633314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002410240).

11374633314 is an abundant number, since it is smaller than the sum of its proper divisors (16630187166).

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

11374633314 is a wasteful number, since it uses less digits than its factorization.

11374633314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 983 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The spelling of 11374633314 in words is "eleven billion, three hundred seventy-four million, six hundred thirty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 191 198 222 242 333 363 382 407 573 666 726 739 814 1089 1146 1221 1478 1719 2101 2178 2217 2442 3438 3663 4202 4434 4477 6303 6651 7067 7326 8129 8954 12606 13302 13431 14134 16258 18909 21201 23111 24387 26862 27343 37818 40293 42402 46222 48774 54686 63603 69333 73161 77737 80586 82029 89419 127206 138666 141149 146322 155474 164058 178838 207999 233211 246087 268257 282298 300773 415998 423447 466422 492174 536514 601546 699633 804771 846894 855107 902319 1270341 1399266 1552639 1609542 1710214 1804638 2540682 2565321 2706957 3105278 3308503 4657917 5130642 5222513 5413914 6617006 7695963 9315834 9925509 10445026 13973751 15391926 15667539 17079029 19851018 27947502 29776527 31335078 34158058 47002617 51237087 57447643 59553054 94005234 102474174 114895286 153711261 172342929 307422522 344685858 517028787 631924073 1034057574 1263848146 1895772219 3791544438 5687316657 11374633314