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54352030552736 = 2571767229930269
BaseRepresentation
bin11000101101110110100010…
…11110010101001010100000
321010110000002110102221010212
430112323101132111022200
524111000424310141421
6311332551135513252
714306542661644310
oct1426732136251240
9233400073387125
1054352030552736
1116355626324364
126119955088828
1324434b39a0b07
14d5c91bd49440
15643c4b068e5b
hex316ed17952a0

54352030552736 has 192 divisors, whose sum is σ = 131992363641600. Its totient is φ = 21501961519104.

The previous prime is 54352030552723. The next prime is 54352030552739. The reversal of 54352030552736 is 63725503025345.

It is a happy number.

It is a super-2 number, since 2×543520305527362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54352030552739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57961010 + ... + 58891278.

It is an arithmetic number, because the mean of its divisors is an integer number (687460227300).

Almost surely, 254352030552736 is an apocalyptic number.

54352030552736 is a gapful number since it is divisible by the number (56) 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 54352030552736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65996181820800).

54352030552736 is an abundant number, since it is smaller than the sum of its proper divisors (77640333088864).

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

54352030552736 is a wasteful number, since it uses less digits than its factorization.

54352030552736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930599 (or 930591 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 50.

The spelling of 54352030552736 in words is "fifty-four trillion, three hundred fifty-two billion, thirty million, five hundred fifty-two thousand, seven hundred thirty-six".