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11360451984 = 243764352583
BaseRepresentation
bin10101001010010001…
…01011110110010000
31002022201200202101220
422211020223312100
5141231233430414
65115141525040
7551344151160
oct124510536620
932281622356
1011360451984
1148aa7517a2
122250713780
1310c080004b
1479aadc5a0
1546753eca9
hex2a522bd90

11360451984 has 80 divisors (see below), whose sum is σ = 33593183232. Its totient is φ = 3240733824.

The previous prime is 11360451979. The next prime is 11360452001. The reversal of 11360451984 is 48915406311.

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

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, 189757 + ... + 242339.

Almost surely, 211360451984 is an apocalyptic number.

11360451984 is a gapful number since it is divisible by the number (14) 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 11360451984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796591616).

11360451984 is an abundant number, since it is smaller than the sum of its proper divisors (22232731248).

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

11360451984 is a wasteful number, since it uses less digits than its factorization.

11360451984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53244 (or 53238 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 11360451984 in words is "eleven billion, three hundred sixty million, four hundred fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 643 1286 1929 2572 3858 4501 5144 7716 9002 10288 13503 15432 18004 27006 30864 36008 52583 54012 72016 105166 108024 157749 210332 216048 315498 368081 420664 630996 736162 841328 1104243 1261992 1472324 2208486 2523984 2944648 4416972 5889296 8833944 17667888 33810869 67621738 101432607 135243476 202865214 236676083 270486952 405730428 473352166 540973904 710028249 811460856 946704332 1420056498 1622921712 1893408664 2840112996 3786817328 5680225992 11360451984