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109924668112 = 24719375923663
BaseRepresentation
bin110011001100000000…
…1010101001011010000
3101111201211122201110011
41212120001111023100
53300111203334422
6122255415044304
710641015155650
oct1463001251320
9344654581404
10109924668112
1142689678156
1219379670694
13a49aa1251c
14546b1b4360
152cd56b7077
hex19980552d0

109924668112 has 160 divisors (see below), whose sum is σ = 267611443200. Its totient is φ = 42687005184.

The previous prime is 109924668103. The next prime is 109924668143. The reversal of 109924668112 is 211866429901.

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, 4633593 + ... + 4657255.

It is an arithmetic number, because the mean of its divisors is an integer number (1672571520).

Almost surely, 2109924668112 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 109924668112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133805721600).

109924668112 is an abundant number, since it is smaller than the sum of its proper divisors (157686775088).

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

109924668112 is a wasteful number, since it uses less digits than its factorization.

109924668112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793 (or 23787 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 109924668112 in words is "one hundred nine billion, nine hundred twenty-four million, six hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 59 74 76 112 118 133 148 152 236 259 266 296 304 413 472 518 532 592 703 826 944 1036 1064 1121 1406 1652 2072 2128 2183 2242 2812 3304 4144 4366 4484 4921 5624 6608 7847 8732 8968 9842 11248 15281 15694 17464 17936 19684 23663 30562 31388 34928 39368 41477 47326 61124 62776 78736 82954 94652 122248 125552 165641 165908 189304 244496 290339 331282 331816 378608 449597 580678 662564 663632 875531 899194 1161356 1325128 1396117 1751062 1798388 2322712 2650256 2792234 3147179 3502124 3596776 4645424 5584468 6128717 6294358 7004248 7193552 9772819 11168936 12257434 12588716 14008496 16635089 19545638 22337872 24514868 25177432 26526223 33270178 39091276 49029736 50354864 51656329 53052446 66540356 78182552 98059472 103312658 106104892 116445623 133080712 156365104 185683561 206625316 212209784 232891246 266161424 361594303 371367122 413250632 424419568 465782492 723188606 742734244 826501264 931564984 981470251 1446377212 1485468488 1863129968 1962940502 2892754424 2970936976 3925881004 5785508848 6870291757 7851762008 13740583514 15703524016 27481167028 54962334056 109924668112