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106945720808448 = 210386234037233
BaseRepresentation
bin11000010100010000111101…
…101100101111010000000000
3112000122220121011101212210010
4120110100331230233100000
5103004144314011332243
61015242104052504520
731345400441660544
oct3024207554572000
9460586534355703
10106945720808448
1131092475366525
12bbb296961b140
134789c272b9742
141c5a2b4289a24
15c56d84b05433
hex61443db2f400

106945720808448 has 88 divisors (see below), whose sum is σ = 285082464059008. Its totient is φ = 35644430647296.

The previous prime is 106945720808413. The next prime is 106945720808491. The reversal of 106945720808448 is 844808027549601.

It is a super-2 number, since 2×1069457208084482 (a number of 29 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 24471240 + ... + 28508472.

It is an arithmetic number, because the mean of its divisors is an integer number (3239573455216).

Almost surely, 2106945720808448 is an apocalyptic number.

It is an amenable number.

106945720808448 is an abundant number, since it is smaller than the sum of its proper divisors (178136743250560).

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

106945720808448 is an equidigital number, since it uses as much as digits as its factorization.

106945720808448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045879 (or 4045861 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 106945720808448 in words is "one hundred six trillion, nine hundred forty-five billion, seven hundred twenty million, eight hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 8623 17246 25869 34492 51738 68984 103476 137968 206952 275936 413904 551872 827808 1103744 1655616 2207488 3311232 4037233 4414976 6622464 8074466 8829952 12111699 13244928 16148932 24223398 26489856 32297864 48446796 64595728 96893592 129191456 193787184 258382912 387574368 516765824 775148736 1033531648 1550297472 2067063296 3100594944 4134126592 6201189888 12402379776 34813060159 69626120318 104439180477 139252240636 208878360954 278504481272 417756721908 557008962544 835513443816 1114017925088 1671026887632 2228035850176 3342053775264 4456071700352 6684107550528 8912143400704 13368215101056 17824286801408 26736430202112 35648573602816 53472860404224 106945720808448