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106673190407360 = 2652314493640001
BaseRepresentation
bin11000010000010011001001…
…100111110000110011000000
3111222200212011001101001200022
4120100103021213300303000
5102440213143221013420
61014512553120313012
731316612046536333
oct3020231147606300
9458625131331608
10106673190407360
1130a97934025495
12bb69b8b772768
13476a31453b095
141c4b01d4aa61a
15c4ec33d3bc25
hex6104c99f0cc0

106673190407360 has 56 divisors (see below), whose sum is σ = 265059688356576. Its totient is φ = 40814090240000.

The previous prime is 106673190407321. The next prime is 106673190407369. The reversal of 106673190407360 is 63704091376601.

It is a super-2 number, since 2×1066731904073602 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106673190407369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7246812641 + ... + 7246827360.

Almost surely, 2106673190407360 is an apocalyptic number.

106673190407360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106673190407360 is an abundant number, since it is smaller than the sum of its proper divisors (158386497949216).

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

106673190407360 is a wasteful number, since it uses less digits than its factorization.

106673190407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14493640041 (or 14493640031 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 53.

The spelling of 106673190407360 in words is "one hundred six trillion, six hundred seventy-three billion, one hundred ninety million, four hundred seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 14493640001 28987280002 57974560004 72468200005 115949120008 144936400010 231898240016 289872800020 333353720023 463796480032 579745600040 666707440046 927592960064 1159491200080 1333414880092 1666768600115 2318982400160 2666829760184 3333537200230 4637964800320 5333659520368 6667074400460 10667319040736 13334148800920 21334638081472 26668297601840 53336595203680 106673190407360