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11308852464 = 2437136142443
BaseRepresentation
bin10101000100000111…
…10110010011110000
31002012010121020011120
422202003312103300
5141130031234324
65110055542240
7550146442230
oct124203662360
932163536146
1011308852464
114883609268
12223738a980
1310b2c048a0
14793d09cc0
15462c4b179
hex2a20f64f0

11308852464 has 160 divisors (see below), whose sum is σ = 36546660864. Its totient is φ = 2933591040.

The previous prime is 11308852463. The next prime is 11308852549. The reversal of 11308852464 is 46425880311.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11308852463) 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, 245227 + ... + 287669.

Almost surely, 211308852464 is an apocalyptic number.

11308852464 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 11308852464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273330432).

11308852464 is an abundant number, since it is smaller than the sum of its proper divisors (25237808400).

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

11308852464 is a wasteful number, since it uses less digits than its factorization.

11308852464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42535 (or 42529 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 11308852464 in words is "eleven billion, three hundred eight million, eight hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 61 78 84 91 104 112 122 156 168 182 183 208 244 273 312 336 364 366 427 488 546 624 728 732 793 854 976 1092 1281 1456 1464 1586 1708 2184 2379 2562 2928 3172 3416 4368 4758 5124 5551 6344 6832 9516 10248 11102 12688 16653 19032 20496 22204 33306 38064 42443 44408 66612 84886 88816 127329 133224 169772 254658 266448 297101 339544 509316 551759 594202 679088 891303 1018632 1103518 1188404 1655277 1782606 2037264 2207036 2376808 2589023 3310554 3565212 3862313 4414072 4753616 5178046 6621108 7130424 7724626 7767069 8828144 10356092 11586939 13242216 14260848 15449252 15534138 18123161 20712184 23173878 26484432 30898504 31068276 33657299 36246322 41424368 46347756 54369483 61797008 62136552 67314598 72492644 92695512 100971897 108738966 124273104 134629196 144985288 185391024 201943794 217477932 235601093 269258392 289970576 403887588 434955864 471202186 538516784 706803279 807775176 869911728 942404372 1413606558 1615550352 1884808744 2827213116 3769617488 5654426232 11308852464