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245113917972 = 2237112917235309
BaseRepresentation
bin1110010001000111101…
…1011001001000010100
3212102200102002011122020
43210101323121020110
513003443130333342
6304334225533140
723465102632440
oct3442173311024
9772612064566
10245113917972
1194a52464530
123b6081a41b0
131a163a07ab1
14bc13925820
156598db60ec
hex3911ed9214

245113917972 has 192 divisors, whose sum is σ = 738214041600. Its totient is φ = 61423326720.

The previous prime is 245113917953. The next prime is 245113918003. The reversal of 245113917972 is 279719311542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46166854 + ... + 46172162.

It is an arithmetic number, because the mean of its divisors is an integer number (3844864800).

Almost surely, 2245113917972 is an apocalyptic number.

245113917972 is a gapful number since it is divisible by the number (22) 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 245113917972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369107020800).

245113917972 is an abundant number, since it is smaller than the sum of its proper divisors (493100123628).

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

245113917972 is a wasteful number, since it uses less digits than its factorization.

245113917972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7084 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The spelling of 245113917972 in words is "two hundred forty-five billion, one hundred thirteen million, nine hundred seventeen thousand, nine hundred seventy-two".