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538367276070 = 232513291011271237
BaseRepresentation
bin1111101010110010011…
…00001011010000100110
31220110121202000021120100
413311121030023100212
532310034010313240
61051153355044530
753616146225151
oct7653114132046
91813552007510
10538367276070
11198358323918
128840a140746
133b9c9b7a7b0
141c0b2a1cc98
15e00e104e30
hex7d5930b426

538367276070 has 384 divisors, whose sum is σ = 1588531875840. Its totient is φ = 125585510400.

The previous prime is 538367276039. The next prime is 538367276071. The reversal of 538367276070 is 70672763835.

538367276070 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 6 + 7 + 27 + 607 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 538367275998 and 538367276016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538367276071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 435219492 + ... + 435220728.

It is an arithmetic number, because the mean of its divisors is an integer number (4136801760).

Almost surely, 2538367276070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538367276070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794265937920).

538367276070 is an abundant number, since it is smaller than the sum of its proper divisors (1050164599770).

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

538367276070 is a wasteful number, since it uses less digits than its factorization.

538367276070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 538367276070 in words is "five hundred thirty-eight billion, three hundred sixty-seven million, two hundred seventy-six thousand, seventy".