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106165273232376 = 233219710876885797
BaseRepresentation
bin11000001000111010000111…
…011001100000001111111000
3111220220022010102121012002200
4120020322013121200033320
5102403402434421414001
61013443353032430200
731235121304020111
oct3010720731401770
9456808112535080
10106165273232376
1130911492020276
12baa765b248360
13473145b0893a7
141c305d89bd208
15c4190811e086
hex608e876603f8

106165273232376 has 96 divisors (see below), whose sum is σ = 289256398928640. Its totient is φ = 35176391841024.

The previous prime is 106165273232299. The next prime is 106165273232377. The reversal of 106165273232376 is 673232372561601.

106165273232376 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 527 + 3 + 23 + 23 + 76 = 666.

It is a super-2 number, since 2×1061652732323762 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106165273232377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11975110 + ... + 18860906.

It is an arithmetic number, because the mean of its divisors is an integer number (3013087488840).

Almost surely, 2106165273232376 is an apocalyptic number.

It is an amenable number.

106165273232376 is an abundant number, since it is smaller than the sum of its proper divisors (183091125696264).

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

106165273232376 is a wasteful number, since it uses less digits than its factorization.

106165273232376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887093 (or 6887086 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 106165273232376 in words is "one hundred six trillion, one hundred sixty-five billion, two hundred seventy-three million, two hundred thirty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1087 1182 1576 1773 2174 2364 3261 3546 4348 4728 6522 7092 8696 9783 13044 14184 19566 26088 39132 78264 214139 428278 642417 856556 1284834 1713112 1927251 2569668 3854502 5139336 6885797 7709004 13771594 15418008 20657391 27543188 41314782 55086376 61972173 82629564 123944346 165259128 247888692 495777384 1356502009 2713004018 4069506027 5426008036 7484861339 8139012054 10852016072 12208518081 14969722678 16278024108 22454584017 24417036162 29939445356 32556048216 44909168034 48834072324 59878890712 67363752051 89818336068 97668144648 134727504102 179636672136 269455008204 538910016408 1474517683783 2949035367566 4423553051349 5898070735132 8847106102698 11796141470264 13270659154047 17694212205396 26541318308094 35388424410792 53082636616188 106165273232376