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11014429888 = 267112397177
BaseRepresentation
bin10100100001000001…
…01101110011000000
31001102121121000022201
422100200231303000
5140024143224023
65020541242544
7536643052330
oct122040556300
931377530281
1011014429888
1147423a4220
122174863454
131066c0a647
14766b890c0
15446e8ebad
hex29082dcc0

11014429888 has 112 divisors (see below), whose sum is σ = 28435060224. Its totient is φ = 4104714240.

The previous prime is 11014429781. The next prime is 11014429891. The reversal of 11014429888 is 88892441011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 64756 + ... + 161932.

Almost surely, 211014429888 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 11014429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217530112).

11014429888 is an abundant number, since it is smaller than the sum of its proper divisors (17420630336).

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

11014429888 is a wasteful number, since it uses less digits than its factorization.

11014429888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97230 (or 97220 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 11014429888 in words is "eleven billion, fourteen million, four hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 1012 1232 1288 1472 1771 2024 2464 2576 3542 4048 4928 5152 7084 8096 10304 14168 16192 28336 56672 97177 113344 194354 388708 680239 777416 1068947 1360478 1554832 2137894 2235071 2720956 3109664 4275788 4470142 5441912 6219328 7482629 8551576 8940284 10883824 14965258 15645497 17103152 17880568 21767648 24585781 29930516 31290994 34206304 35761136 43535296 49171562 59861032 62581988 68412608 71522272 98343124 119722064 125163976 143044544 172100467 196686248 239444128 250327952 344200934 393372496 478888256 500655904 688401868 786744992 1001311808 1376803736 1573489984 2753607472 5507214944 11014429888