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245035490040 = 2333511672111459
BaseRepresentation
bin1110010000110101000…
…0001101101011111000
3212102110221111121202000
43210031100031223320
513003313041140130
6304322344541000
723463131204535
oct3441520155370
9772427447660
10245035490040
1194a12167460
123b5a5a81760
131a1506a8133
14bc0734bd8c
156592073260
hex390d40daf8

245035490040 has 512 divisors, whose sum is σ = 909245952000. Its totient is φ = 58198694400.

The previous prime is 245035490039. The next prime is 245035490083. The reversal of 245035490040 is 40094530542.

It is a happy number.

245035490040 is a `hidden beast` number, since 24 + 50 + 3 + 549 + 0 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245035489977 and 245035490004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167946831 + ... + 167948289.

It is an arithmetic number, because the mean of its divisors is an integer number (1775871000).

Almost surely, 2245035490040 is an apocalyptic number.

245035490040 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 245035490040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454622976000).

245035490040 is an abundant number, since it is smaller than the sum of its proper divisors (664210461960).

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

245035490040 is a wasteful number, since it uses less digits than its factorization.

245035490040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 245035490040 in words is "two hundred forty-five billion, thirty-five million, four hundred ninety thousand, forty".