Search a number
-
+
106121055199488 = 283719739779613
BaseRepresentation
bin11000001000010000111011…
…110011000110000100000000
3111220202001222210120101020220
4120020100323303012010000
5102402141410112340423
61013411201214503040
731231664450651250
oct3010207363060400
9456661883511226
10106121055199488
11308a47610a973a
12ba9ab7a804a80
13472a2321861a4
141c2c402143960
15c406bb1949e3
hex60843bcc6100

106121055199488 has 72 divisors (see below), whose sum is σ = 322784876248128. Its totient is φ = 30320301484032.

The previous prime is 106121055199483. The next prime is 106121055199499. The reversal of 106121055199488 is 884991550121601.

It is a super-2 number, since 2×1061210551994882 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106121055199483) 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, 9869884431 + ... + 9869895182.

It is an arithmetic number, because the mean of its divisors is an integer number (4483123281224).

Almost surely, 2106121055199488 is an apocalyptic number.

It is an amenable number.

106121055199488 is an abundant number, since it is smaller than the sum of its proper divisors (216663821048640).

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

106121055199488 is an equidigital number, since it uses as much as digits as its factorization.

106121055199488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19739779639 (or 19739779625 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 60.

The spelling of 106121055199488 in words is "one hundred six trillion, one hundred twenty-one billion, fifty-five million, one hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 19739779613 39479559226 59219338839 78959118452 118438677678 138178457291 157918236904 236877355356 276356914582 315836473808 414535371873 473754710712 552713829164 631672947616 829070743746 947509421424 1105427658328 1263345895232 1658141487492 1895018842848 2210855316656 2526691790464 3316282974984 3790037685696 4421710633312 5053383580928 6632565949968 7580075371392 8843421266624 13265131899936 15160150742784 17686842533248 26530263799872 35373685066496 53060527599744 106121055199488