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11636381472 = 253617925153
BaseRepresentation
bin10101101011001010…
…10001011100100000
31010000221220102111120
422311211101130200
5142312403201342
65202400012240
7561234416262
oct126545213440
933027812446
1011636381472
114a314856a1
122309001080
131135a20a31
147c5607b32
15481896aec
hex2b5951720

11636381472 has 96 divisors (see below), whose sum is σ = 31440487680. Its totient is φ = 3766763520.

The previous prime is 11636381441. The next prime is 11636381501. The reversal of 11636381472 is 27418363611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 450048 + ... + 475200.

It is an arithmetic number, because the mean of its divisors is an integer number (327505080).

Almost surely, 211636381472 is an apocalyptic number.

11636381472 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 11636381472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720243840).

11636381472 is an abundant number, since it is smaller than the sum of its proper divisors (19804106208).

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

11636381472 is a wasteful number, since it uses less digits than its factorization.

11636381472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25306 (or 25298 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 11636381472 in words is "eleven billion, six hundred thirty-six million, three hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 79 96 122 158 183 237 244 316 366 474 488 632 732 948 976 1264 1464 1896 1952 2528 2928 3792 4819 5856 7584 9638 14457 19276 25153 28914 38552 50306 57828 75459 77104 100612 115656 150918 154208 201224 231312 301836 402448 462624 603672 804896 1207344 1534333 1987087 2414688 3068666 3974174 4602999 5961261 6137332 7948348 9205998 11922522 12274664 15896696 18411996 23845044 24549328 31793392 36823992 47690088 49098656 63586784 73647984 95380176 121212307 147295968 190760352 242424614 363636921 484849228 727273842 969698456 1454547684 1939396912 2909095368 3878793824 5818190736 11636381472