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109341710946 = 234133113912049
BaseRepresentation
bin110010111010101000…
…1100001101001100010
3101110020012201102120000
41211311101201221202
53242412434222241
6122121512200430
710620406131246
oct1456521415142
9343205642500
10109341710946
114240a5aa876
1219236399116
13a407003060
1454139c6426
152c9e413eb6
hex1975461a62

109341710946 has 160 divisors (see below), whose sum is σ = 274346688000. Its totient is φ = 32321410560.

The previous prime is 109341710939. The next prime is 109341710963. The reversal of 109341710946 is 649017143901.

It is a happy number.

109341710946 is a `hidden beast` number, since 1 + 0 + 93 + 417 + 109 + 46 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9068730 + ... + 9080778.

It is an arithmetic number, because the mean of its divisors is an integer number (1714666800).

Almost surely, 2109341710946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109341710946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137173344000).

109341710946 is an abundant number, since it is smaller than the sum of its proper divisors (165004977054).

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

109341710946 is a wasteful number, since it uses less digits than its factorization.

109341710946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12237 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 109341710946 in words is "one hundred nine billion, three hundred forty-one million, seven hundred ten thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 139 162 186 234 278 279 351 403 417 558 702 806 834 837 1053 1209 1251 1674 1807 2106 2418 2502 2511 3614 3627 3753 4309 5022 5421 7254 7506 8618 10842 10881 11259 12049 12927 16263 21762 22518 24098 25854 32526 32643 36147 38781 48789 56017 65286 72294 77562 97578 108441 112034 116343 146367 156637 168051 216882 232686 292734 313274 325323 336102 349029 373519 469911 504153 650646 698058 747038 939822 975969 1008306 1120557 1409733 1512459 1674811 1951938 2241114 2819466 3024918 3349622 3361671 4229199 4537377 4855747 5024433 6723342 8458398 9074754 9711494 10048866 10085013 12687597 14567241 15073299 20170026 21772543 25375194 29134482 30146598 30255039 43545086 43701723 45219897 51919141 60510078 65317629 87403446 90439794 103838282 130635258 131105169 135659691 155757423 195952887 262210338 271319382 311514846 391905774 393315507 467272269 587858661 674948833 786631014 934544538 1175717322 1349897666 1401816807 1763575983 2024846499 2803633614 3527151966 4049692998 4205450421 6074539497 8410900842 12149078994 18223618491 36447236982 54670855473 109341710946