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16108916224 = 29197183281
BaseRepresentation
bin11110000000010101…
…01000111000000000
31112120122202201202211
433000022220320000
5230442340304344
611222245551504
71110123346222
oct170012507000
945518681684
1016108916224
116917077205
123156a15594
1316994cc1bb
14acb604412
1564435c334
hex3c02a8e00

16108916224 has 160 divisors (see below), whose sum is σ = 34895266560. Its totient is φ = 7405977600.

The previous prime is 16108916221. The next prime is 16108916269. The reversal of 16108916224 is 42261980161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16108916221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57326964 + ... + 57327244.

It is an arithmetic number, because the mean of its divisors is an integer number (218095416).

Almost surely, 216108916224 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 16108916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447633280).

16108916224 is an abundant number, since it is smaller than the sum of its proper divisors (18786350336).

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

16108916224 is an equidigital number, since it uses as much as digits as its factorization.

16108916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 16108916224 in words is "sixteen billion, one hundred eight million, nine hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 83 128 142 152 166 256 281 284 304 332 512 562 568 608 664 1124 1136 1216 1328 1349 1577 2248 2272 2432 2656 2698 3154 4496 4544 4864 5312 5339 5396 5893 6308 8992 9088 9728 10624 10678 10792 11786 12616 17984 18176 19951 21248 21356 21584 23323 23572 25232 35968 36352 39902 42496 42712 43168 46646 47144 50464 71936 79804 85424 86336 93292 94288 100928 111967 143872 159608 170848 172672 186584 188576 201856 223934 319216 341696 345344 373168 377152 379069 403712 443137 447868 638432 683392 690688 746336 754304 758138 807424 886274 895736 1276864 1366784 1492672 1508608 1516276 1655933 1772548 1791472 2553728 2733568 2985344 3017216 3032552 3311866 3545096 3582944 5107456 5970688 6065104 6623732 7090192 7165888 10214912 11941376 12130208 13247464 14180384 14331776 24260416 26494928 28360768 28663552 31462727 48520832 52989856 56721536 57327104 62925454 97041664 105979712 113443072 125850908 194083328 211959424 226886144 251701816 423918848 503403632 847837696 1006807264 2013614528 4027229056 8054458112 16108916224