Search a number
-
+
249993675920 = 2453139983773
BaseRepresentation
bin1110100011010011001…
…0001100010010010000
3212220021111012120010002
43220310302030102100
513043441340112140
6310502344025132
724030035120132
oct3506462142220
9786244176102
10249993675920
1197026a0493a
124054a4621a8
131a760986531
14c157a47052
1567824ba415
hex3a34c8c490

249993675920 has 40 divisors (see below), whose sum is σ = 583092336696. Its totient is φ = 99677979648.

The previous prime is 249993675913. The next prime is 249993675947. The reversal of 249993675920 is 29576399942.

249993675920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1698758656 + 248294917264 = 41216^2 + 498292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4966847 + ... + 5016926.

Almost surely, 2249993675920 is an apocalyptic number.

249993675920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249993675920 is an abundant number, since it is smaller than the sum of its proper divisors (333098660776).

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

249993675920 is a wasteful number, since it uses less digits than its factorization.

249993675920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984099 (or 9984093 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 65.

The spelling of 249993675920 in words is "two hundred forty-nine billion, nine hundred ninety-three million, six hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2504 3130 5008 6260 12520 25040 9983773 19967546 39935092 49918865 79870184 99837730 159740368 199675460 399350920 798701840 3124920949 6249841898 12499683796 15624604745 24999367592 31249209490 49998735184 62498418980 124996837960 249993675920