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4958280040320 = 273254120995427
BaseRepresentation
bin100100000100111000010…
…0001010011111110000000
3122120000012001122120210100
41020021300201103332000
51122214024142242240
614313445153002400
71021136541645465
oct110116041237600
918500161576710
104958280040320
111641881903342
12680b45b53400
1329c7438974a9
14131da69b966c
1588e99c41e30
hex48270853f80

4958280040320 has 192 divisors, whose sum is σ = 17539160642640. Its totient is φ = 1289958973440.

The previous prime is 4958280040313. The next prime is 4958280040409. The reversal of 4958280040320 is 230400828594.

4958280040320 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 280 + 0 + 40 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10261554 + ... + 10733873.

Almost surely, 24958280040320 is an apocalyptic number.

4958280040320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4958280040320 is an abundant number, since it is smaller than the sum of its proper divisors (12580880602320).

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

4958280040320 is a wasteful number, since it uses less digits than its factorization.

4958280040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20995493 (or 20995478 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4958280040320 in words is "four trillion, nine hundred fifty-eight billion, two hundred eighty million, forty thousand, three hundred twenty".