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245348381376 = 26337217198971
BaseRepresentation
bin1110010001111111100…
…1110011001011000000
3212110021202021010222000
43210133321303023000
513004433141201001
6304413403144000
723503650555300
oct3443771631300
9773252233860
10245348381376
119506284633a
123b672815000
131a1a046a837
14bc36b19600
1565ae77ba86
hex391fe732c0

245348381376 has 672 divisors, whose sum is σ = 935255635200. Its totient is φ = 62496645120.

The previous prime is 245348381371. The next prime is 245348381387. The reversal of 245348381376 is 673183843542.

It is a happy number.

245348381376 is a `hidden beast` number, since 2 + 4 + 53 + 483 + 81 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245348381371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27344571 + ... + 27353541.

Almost surely, 2245348381376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245348381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467627817600).

245348381376 is an abundant number, since it is smaller than the sum of its proper divisors (689907253824).

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

245348381376 is a wasteful number, since it uses less digits than its factorization.

245348381376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9019 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 245348381376 in words is "two hundred forty-five billion, three hundred forty-eight million, three hundred eighty-one thousand, three hundred seventy-six".