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106775457880 = 23571329333917
BaseRepresentation
bin110001101110001010…
…0000011000001011000
3101012121100212021011011
41203130110003001120
53222134004123010
6121015120343304
710466665263010
oct1433424030130
9335540767134
10106775457880
1141312a64973
121883aa74b34
13a0b8447710
14524cc4ac40
152b9de9ca8a
hex18dc503058

106775457880 has 64 divisors (see below), whose sum is σ = 295685893440. Its totient is φ = 33792671232.

The previous prime is 106775457863. The next prime is 106775457883. The reversal of 106775457880 is 88754577601.

It is a super-2 number, since 2×1067754578802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106775457883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14663319 + ... + 14670598.

It is an arithmetic number, because the mean of its divisors is an integer number (4620092085).

Almost surely, 2106775457880 is an apocalyptic number.

106775457880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106775457880 is an abundant number, since it is smaller than the sum of its proper divisors (188910435560).

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

106775457880 is a wasteful number, since it uses less digits than its factorization.

106775457880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29333948 (or 29333944 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 58.

The spelling of 106775457880 in words is "one hundred six billion, seven hundred seventy-five million, four hundred fifty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 29333917 58667834 117335668 146669585 205337419 234671336 293339170 381340921 410674838 586678340 762681842 821349676 1026687095 1173356680 1525363684 1642699352 1906704605 2053374190 2669386447 3050727368 3813409210 4106748380 5338772894 7626818420 8213496760 10677545788 13346932235 15253636840 21355091576 26693864470 53387728940 106775457880