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574376100540000 = 25354116712989057
BaseRepresentation
bin1000001010011001000101101…
…1011100001010111001100000
32210022200211010000102010101220
42002212101123130022321200
51100241034223214240000
65353332423215055040
7231661206134446113
oct20246213334127140
92708624100363356
10574376100540000
11157017599889920
1254505b29b11480
131b8655842aa635
14a1b9d4727a57a
154660c91a161a0
hex20a645b70ae60

574376100540000 has 480 divisors, whose sum is σ = 2086024426206336. Its totient is φ = 137164431360000.

The previous prime is 574376100539999. The next prime is 574376100540019. The reversal of 574376100540000 is 45001673475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37725472 + ... + 50714528.

Almost surely, 2574376100540000 is an apocalyptic number.

574376100540000 is a gapful number since it is divisible by the number (50) 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 574376100540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043012213103168).

574376100540000 is an abundant number, since it is smaller than the sum of its proper divisors (1511648325666336).

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

574376100540000 is a wasteful number, since it uses less digits than its factorization.

574376100540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989168 (or 12989145 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 574376100540000 in words is "five hundred seventy-four trillion, three hundred seventy-six billion, one hundred million, five hundred forty thousand".