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11113670064 = 2437531514133
BaseRepresentation
bin10100101100110110…
…10010010110110000
31001200112022221020210
422112123102112300
5140230044420224
65034444304120
7542256431310
oct122633222660
931615287223
1011113670064
1147934168a2
1221a1b42040
131081646343
1477601d440
15450a44429
hex2966d25b0

11113670064 has 160 divisors (see below), whose sum is σ = 33660417024. Its totient is φ = 3094041600.

The previous prime is 11113670039. The next prime is 11113670069. The reversal of 11113670064 is 46007631111.

It is not an unprimeable number, because it can be changed into a prime (11113670069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2686942 + ... + 2691074.

Almost surely, 211113670064 is an apocalyptic number.

11113670064 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 11113670064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830208512).

11113670064 is an abundant number, since it is smaller than the sum of its proper divisors (22546746960).

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

11113670064 is a wasteful number, since it uses less digits than its factorization.

11113670064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 11113670064 in words is "eleven billion, one hundred thirteen million, six hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 151 159 168 212 302 318 336 371 424 453 604 636 742 848 906 1057 1113 1208 1272 1484 1812 2114 2226 2416 2544 2968 3171 3624 4133 4228 4452 5936 6342 7248 8003 8266 8456 8904 12399 12684 16006 16532 16912 17808 24009 24798 25368 28931 32012 33064 48018 49596 50736 56021 57862 64024 66128 86793 96036 99192 112042 115724 128048 168063 173586 192072 198384 219049 224084 231448 336126 347172 384144 438098 448168 462896 624083 657147 672252 694344 876196 896336 1248166 1314294 1344504 1388688 1533343 1752392 1872249 2496332 2628588 2689008 3066686 3504784 3744498 4368581 4600029 4992664 5257176 6133372 7488996 8737162 9200058 9985328 10514352 12266744 13105743 14977992 17474324 18400116 24533488 26211486 29955984 33076399 34948648 36800232 52422972 66152798 69897296 73600464 99229197 104845944 132305596 198458394 209691888 231534793 264611192 396916788 463069586 529222384 694604379 793833576 926139172 1389208758 1587667152 1852278344 2778417516 3704556688 5556835032 11113670064