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109745924928 = 26319211114251
BaseRepresentation
bin110011000110101011…
…1011110101101000000
3101111021101022121220020
41212031113132231000
53244224424044203
6122225552013440
710633414653543
oct1461527365500
9344241277806
10109745924928
11425a7793812
1219329831280
13a46c98b723
14545156685a
152cc4b5b153
hex198d5deb40

109745924928 has 112 divisors (see below), whose sum is σ = 305818275840. Its totient is φ = 34637760000.

The previous prime is 109745924887. The next prime is 109745924983. The reversal of 109745924928 is 829429547901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7693803 + ... + 7708053.

It is an arithmetic number, because the mean of its divisors is an integer number (2730520320).

Almost surely, 2109745924928 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 109745924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152909137920).

109745924928 is an abundant number, since it is smaller than the sum of its proper divisors (196072350912).

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

109745924928 is a wasteful number, since it uses less digits than its factorization.

109745924928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16396 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 109745924928 in words is "one hundred nine billion, seven hundred forty-five million, nine hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 2111 3648 4222 6333 8444 12666 14251 16888 25332 28502 33776 40109 42753 50664 57004 67552 80218 85506 101328 114008 120327 135104 160436 171012 202656 228016 240654 270769 320872 342024 405312 456032 481308 541538 641744 684048 812307 912064 962616 1083076 1283488 1368096 1624614 1925232 2166152 2566976 2736192 3249228 3850464 4332304 6498456 7700928 8664608 12996912 17329216 25993824 30083861 51987648 60167722 90251583 120335444 180503166 240670888 361006332 481341776 571593359 722012664 962683552 1143186718 1444025328 1714780077 1925367104 2286373436 2888050656 3429560154 4572746872 5776101312 6859120308 9145493744 13718240616 18290987488 27436481232 36581974976 54872962464 109745924928