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107525857240 = 23531701123701
BaseRepresentation
bin110010000100100001…
…0100101111111011000
3101021112122212111120001
41210021002211333120
53230203104412430
6121221404142344
710524406464154
oct1441102457730
9337478774501
10107525857240
11416685a802a
1218a0a2379b4
13a1a7a51bc9
1452c0784064
152be4cc83ca
hex19090a5fd8

107525857240 has 64 divisors (see below), whose sum is σ = 250095755520. Its totient is φ = 41563200000.

The previous prime is 107525857193. The next prime is 107525857253. The reversal of 107525857240 is 42758525701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807390 + ... + 931090.

It is an arithmetic number, because the mean of its divisors is an integer number (3907746180).

Almost surely, 2107525857240 is an apocalyptic number.

107525857240 is a gapful number since it is divisible by the number (10) 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 107525857240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125047877760).

107525857240 is an abundant number, since it is smaller than the sum of its proper divisors (142569898280).

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

107525857240 is a wasteful number, since it uses less digits than its factorization.

107525857240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124444 (or 124440 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 46.

The spelling of 107525857240 in words is "one hundred seven billion, five hundred twenty-five million, eight hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 701 1240 1402 2804 3505 5608 7010 14020 21731 28040 43462 86924 108655 123701 173848 217310 247402 434620 494804 618505 869240 989608 1237010 2474020 3834731 4948040 7669462 15338924 19173655 30677848 38347310 76694620 86714401 153389240 173428802 346857604 433572005 693715208 867144010 1734288020 2688146431 3468576040 5376292862 10752585724 13440732155 21505171448 26881464310 53762928620 107525857240