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11009716272 = 2432618315101
BaseRepresentation
bin10100100000011101…
…01111000000110000
31001102021201112110100
422100032233000300
5140021441410042
65020252232400
7536555021112
oct122016570060
931367645410
1011009716272
11473a774875
12217316b700
131065c4a019
147662bd3b2
1544685d24c
hex2903af030

11009716272 has 120 divisors (see below), whose sum is σ = 31696440048. Its totient is φ = 3566016000.

The previous prime is 11009716271. The next prime is 11009716279. The reversal of 11009716272 is 27261790011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11009716271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721522 + ... + 736622.

Almost surely, 211009716272 is an apocalyptic number.

11009716272 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 11009716272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848220024).

11009716272 is an abundant number, since it is smaller than the sum of its proper divisors (20686723776).

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

11009716272 is a wasteful number, since it uses less digits than its factorization.

11009716272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15259 (or 15250 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 11009716272 in words is "eleven billion, nine million, seven hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 83 122 144 166 183 244 249 332 366 488 498 549 664 732 747 976 996 1098 1328 1464 1494 1992 2196 2928 2988 3984 4392 5063 5976 8784 10126 11952 15101 15189 20252 30202 30378 40504 45303 45567 60404 60756 81008 90606 91134 120808 121512 135909 181212 182268 241616 243024 271818 362424 364536 543636 724848 729072 921161 1087272 1253383 1842322 2174544 2506766 2763483 3684644 3760149 5013532 5526966 7369288 7520298 8290449 10027064 11053932 11280447 14738576 15040596 16580898 20054128 22107864 22560894 30081192 33161796 44215728 45121788 60162384 66323592 76456363 90243576 132647184 152912726 180487152 229369089 305825452 458738178 611650904 688107267 917476356 1223301808 1376214534 1834952712 2752429068 3669905424 5504858136 11009716272