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245555014145040 = 243353767233196817
BaseRepresentation
bin110111110101010010111011…
…011001000001010000010000
31012012102211102010201001002000
4313311102323121001100100
5224141133132110120130
62230130225521354000
7102502523106465435
oct6765227331012020
91165384363631060
10245555014145040
1171272329973846
122365a259498900
13a70297a57a3c2
14448ccd72ddb8c
151d5c6b1ca3260
hexdf54bb641410

245555014145040 has 640 divisors, whose sum is σ = 885413453483520. Its totient is φ = 62490975731712.

The previous prime is 245555014145033. The next prime is 245555014145047. The reversal of 245555014145040 is 40541410555542.

245555014145040 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 5 + 50 + 141 + 450 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245555014145033) and next prime (245555014145047).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (245555014145047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1247532712 + ... + 1247729528.

It is an arithmetic number, because the mean of its divisors is an integer number (1383458521068).

Almost surely, 2245555014145040 is an apocalyptic number.

245555014145040 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 245555014145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442706726741760).

245555014145040 is an abundant number, since it is smaller than the sum of its proper divisors (639858439338480).

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

245555014145040 is a wasteful number, since it uses less digits than its factorization.

245555014145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197176 (or 197164 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 245555014145040 in words is "two hundred forty-five trillion, five hundred fifty-five billion, fourteen million, one hundred forty-five thousand, forty".