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117172977136 = 2431243117681
BaseRepresentation
bin110110100100000001…
…1011011110111110000
3102012102222121222011221
41231020003123313300
53404432240232021
6125454543314424
711315440605145
oct1551003336760
9365388558157
10117172977136
11457690aaa96
121a860baba14
13b0845b8287
145957aca3cc
1530abbce241
hex1b480dbdf0

117172977136 has 60 divisors (see below), whose sum is σ = 235139762592. Its totient is φ = 56561856000.

The previous prime is 117172977133. The next prime is 117172977169. The reversal of 117172977136 is 631779271711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117172977133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6618216 + ... + 6635896.

Almost surely, 2117172977136 is an apocalyptic number.

117172977136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117172977136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117569881296).

117172977136 is an abundant number, since it is smaller than the sum of its proper divisors (117966785456).

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

117172977136 is a wasteful number, since it uses less digits than its factorization.

117172977136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18182 (or 18145 counting only the distinct ones).

The product of its digits is 777924, while the sum is 52.

The spelling of 117172977136 in words is "one hundred seventeen billion, one hundred seventy-two million, nine hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 248 431 496 862 961 1724 1922 3448 3844 6896 7688 13361 15376 17681 26722 35362 53444 70724 106888 141448 213776 282896 414191 548111 828382 1096222 1656764 2192444 3313528 4384888 6627056 7620511 8769776 15241022 16991441 30482044 33982882 60964088 67965764 121928176 135931528 236235841 271863056 472471682 944943364 1889886728 3779773456 7323311071 14646622142 29293244284 58586488568 117172977136