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45147774210000 = 2435471182723633
BaseRepresentation
bin10100100001111110010010…
…00010110100111111010000
312220212002022000021210201120
422100333021002310333100
521404200120144210000
6240004333503002240
712336550634625360
oct1220771102647720
9186762260253646
1045147774210000
11134270775a5810
125091b36299380
131c26555a49b77
14b21241b809a0
155345e59096a0
hex290fc90b4fd0

45147774210000 has 800 divisors, whose sum is σ = 181933016398848. Its totient is φ = 9369615360000.

The previous prime is 45147774209999. The next prime is 45147774210017. The reversal of 45147774210000 is 1247774154.

It is a happy number.

It is a super-2 number, since 2×451477742100002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1910358184 + ... + 1910381816.

Almost surely, 245147774210000 is an apocalyptic number.

45147774210000 is a gapful number since it is divisible by the number (40) 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 45147774210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90966508199424).

45147774210000 is an abundant number, since it is smaller than the sum of its proper divisors (136785242188848).

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

45147774210000 is a wasteful number, since it uses less digits than its factorization.

45147774210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24509 (or 24488 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 45147774210000 in words is "forty-five trillion, one hundred forty-seven billion, seven hundred seventy-four million, two hundred ten thousand".