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245042492120 = 23531787251099
BaseRepresentation
bin1110010000110110101…
…0111011001011011000
3212102111102200100210022
43210031222323023120
513003321334221440
6304323155010012
723463244550006
oct3441552731330
9772442610708
10245042492120
1194a1610a1a8
123b5a8299908
131a151c8a28a
14bc08251a76
1565929a7cb5
hex390dabb2d8

245042492120 has 64 divisors (see below), whose sum is σ = 569856384000. Its totient is φ = 94734253440.

The previous prime is 245042492117. The next prime is 245042492137. The reversal of 245042492120 is 21294240542.

245042492120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850331 + ... + 1101429.

It is an arithmetic number, because the mean of its divisors is an integer number (8904006000).

Almost surely, 2245042492120 is an apocalyptic number.

245042492120 is a gapful number since it is divisible by the number (20) 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 245042492120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284928192000).

245042492120 is an abundant number, since it is smaller than the sum of its proper divisors (324813891880).

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

245042492120 is a wasteful number, since it uses less digits than its factorization.

245042492120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251928 (or 251924 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 245042492120 in words is "two hundred forty-five billion, forty-two million, four hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 787 1240 1574 3148 3935 6296 7870 15740 24397 31480 48794 97588 121985 195176 243970 251099 487940 502198 975880 1004396 1255495 2008792 2510990 5021980 7784069 10043960 15568138 31136276 38920345 62272552 77840690 155681380 197614913 311362760 395229826 790459652 988074565 1580919304 1976149130 3952298260 6126062303 7904596520 12252124606 24504249212 30630311515 49008498424 61260623030 122521246060 245042492120