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542429190442692 = 2234731137148737871
BaseRepresentation
bin111101101010101100010001…
…1001101100100111011000100
32122010120201112220220000020000
41323111120203031210323010
51032044124440223131232
65201352310251441300
7222153134001216120
oct17325304315447304
92563521486800200
10542429190442692
1114791aa229a5723
1250a064b2456230
131a388b12577b37
1497d39da29a580
1542a9c64a0627c
hex1ed5623364ec4

542429190442692 has 480 divisors, whose sum is σ = 1686256488677376. Its totient is φ = 148781620108800.

The previous prime is 542429190442673. The next prime is 542429190442709. The reversal of 542429190442692 is 296244091924245.

542429190442692 is a `hidden beast` number, since 5 + 4 + 2 + 42 + 9 + 1 + 90 + 442 + 69 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14323056517 + ... + 14323094387.

Almost surely, 2542429190442692 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 542429190442692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843128244338688).

542429190442692 is an abundant number, since it is smaller than the sum of its proper divisors (1143827298234684).

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

542429190442692 is a wasteful number, since it uses less digits than its factorization.

542429190442692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39549 (or 39538 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 542429190442692 in words is "five hundred forty-two trillion, four hundred twenty-nine billion, one hundred ninety million, four hundred forty-two thousand, six hundred ninety-two".