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245293903317120 = 2735725349194163
BaseRepresentation
bin110111110001011111101111…
…111110010000100010000000
31012011111212102212121122101120
4313301133233332100202000
5224122343403222121440
62225410244042232240
7102444620410202400
oct6761375776204200
91164455385548346
10245293903317120
1171181618695089
1223617727ab5680
13a6b416762ba28
14448040700c800
151d559cd806dd0
hexdf17eff90880

245293903317120 has 384 divisors, whose sum is σ = 926688177167040. Its totient is φ = 55009305501696.

The previous prime is 245293903316881. The next prime is 245293903317121. The reversal of 245293903317120 is 21713309392542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2452939033171202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245293903317121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19610842 + ... + 29583321.

Almost surely, 2245293903317120 is an apocalyptic number.

245293903317120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245293903317120 is an abundant number, since it is smaller than the sum of its proper divisors (681394273849920).

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

245293903317120 is a wasteful number, since it uses less digits than its factorization.

245293903317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49194252 (or 49194233 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 245293903317120 in words is "two hundred forty-five trillion, two hundred ninety-three billion, nine hundred three million, three hundred seventeen thousand, one hundred twenty".