Search a number
-
+
107604993750 = 235524123813
BaseRepresentation
bin110010000110111000…
…0011110011011010110
3101021202011210001102220
41210031300132123112
53230333334300000
6121233312243210
710526360232642
oct1441560363326
9337664701386
10107604993750
11416a9239501
1218a30840506
13a1bb26c247
1452cb0a3c22
152bebc0b1a0
hex190dc1e6d6

107604993750 has 96 divisors (see below), whose sum is σ = 270122773536. Its totient is φ = 28574400000.

The previous prime is 107604993739. The next prime is 107604993817. The reversal of 107604993750 is 57399406701.

It is a junction number, because it is equal to n+sod(n) for n = 107604993693 and 107604993702.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4506844 + ... + 4530656.

It is an arithmetic number, because the mean of its divisors is an integer number (2813778891).

Almost surely, 2107604993750 is an apocalyptic number.

107604993750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107604993750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135061386768).

107604993750 is an abundant number, since it is smaller than the sum of its proper divisors (162517779786).

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

107604993750 is an equidigital number, since it uses as much as digits as its factorization.

107604993750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084 (or 24064 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 107604993750 in words is "one hundred seven billion, six hundred four million, nine hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 241 250 375 482 625 723 750 1205 1250 1446 1875 2410 3125 3615 3750 6025 6250 7230 9375 12050 18075 18750 23813 30125 36150 47626 60250 71439 90375 119065 142878 150625 180750 238130 301250 357195 451875 595325 714390 753125 903750 1190650 1506250 1785975 2259375 2976625 3571950 4518750 5738933 5953250 8929875 11477866 14883125 17216799 17859750 28694665 29766250 34433598 44649375 57389330 74415625 86083995 89298750 143473325 148831250 172167990 223246875 286946650 430419975 446493750 717366625 860839950 1434733250 2152099875 3586833125 4304199750 7173666250 10760499375 17934165625 21520998750 35868331250 53802496875 107604993750