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11627433984 = 21232341141
BaseRepresentation
bin10101101010000110…
…01001000000000000
31010000100001211212010
422311003021000000
5142303110341414
65201440132520
7561065362305
oct126503110000
933010054763
1011627433984
114a27424281
122306007140
131133c0a26a
147c43590ac
15480bca959
hex2b50c9000

11627433984 has 104 divisors (see below), whose sum is σ = 32351435712. Its totient is φ = 3707207680.

The previous prime is 11627433977. The next prime is 11627433989. The reversal of 11627433984 is 48933472611.

It is a super-2 number, since 2×116274339842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11627433989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262054 + ... + 303194.

Almost surely, 211627433984 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 11627433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175717856).

11627433984 is an abundant number, since it is smaller than the sum of its proper divisors (20724001728).

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

11627433984 is an equidigital number, since it uses as much as digits as its factorization.

11627433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41191 (or 41169 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 11627433984 in words is "eleven billion, six hundred twenty-seven million, four hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 8832 11776 12288 17664 23552 35328 41141 47104 70656 82282 94208 123423 141312 164564 246846 282624 329128 493692 658256 946243 987384 1316512 1892486 1974768 2633024 2838729 3784972 3949536 5266048 5677458 7569944 7899072 10532096 11354916 15139888 15798144 21064192 22709832 30279776 31596288 42128384 45419664 60559552 63192576 84256768 90839328 121119104 126385152 168513536 181678656 242238208 252770304 363357312 484476416 505540608 726714624 968952832 1453429248 1937905664 2906858496 3875811328 5813716992 11627433984