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11728389464 = 23111931713187
BaseRepresentation
bin10101110110001000…
…10000010101011000
31010021101000220201222
422323010100111120
5143004431430324
65215444031212
7563432444201
oct127304202530
933241026658
1011728389464
114a79408660
122333992508
13114bac692c
147d39185a8
154899bd55e
hex2bb110558

11728389464 has 128 divisors (see below), whose sum is σ = 26442547200. Its totient is φ = 4817232000.

The previous prime is 11728389443. The next prime is 11728389479. The reversal of 11728389464 is 46498382711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678479 + ... + 3681665.

It is an arithmetic number, because the mean of its divisors is an integer number (206582400).

Almost surely, 211728389464 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 11728389464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221273600).

11728389464 is an abundant number, since it is smaller than the sum of its proper divisors (14714157736).

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

11728389464 is a wasteful number, since it uses less digits than its factorization.

11728389464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3321 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The spelling of 11728389464 in words is "eleven billion, seven hundred twenty-eight million, three hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 71 76 88 124 142 152 209 248 284 341 418 568 589 682 781 836 1178 1349 1364 1562 1672 2201 2356 2698 2728 3124 3187 4402 4712 5396 6248 6374 6479 8804 10792 12748 12958 14839 17608 24211 25496 25916 29678 35057 41819 48422 51832 59356 60553 70114 83638 96844 98797 118712 121106 140228 167276 193688 197594 226277 242212 280456 334552 395188 452554 460009 484424 666083 790376 905108 920018 1086767 1332166 1810216 1840036 1877143 2173534 2489047 2664332 3680072 3754286 4299263 4347068 4978094 5328664 7014587 7508572 8598526 8694136 9956188 14029174 15017144 17197052 19912376 20648573 28058348 34394104 41297146 47291893 56116696 77160457 82594292 94583786 133277153 154320914 165188584 189167572 266554306 308641828 378335144 533108612 617283656 1066217224 1466048683 2932097366 5864194732 11728389464