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2573940148416 = 263372132338381
BaseRepresentation
bin100101011101001010110…
…010011100100011000000
3100010001210022111021121000
4211131022302130203000
5314132412134222131
65250241330132000
7353650431162300
oct45351262344300
910101708437530
102573940148416
1190266912515a
12356a1b421000
1315894c223950
148c817add600
1546e4a0c2ce6
hex2574ac9c8c0

2573940148416 has 336 divisors, whose sum is σ = 9479426486880. Its totient is φ = 678841067520.

The previous prime is 2573940148411. The next prime is 2573940148441. The reversal of 2573940148416 is 6148410493752.

2573940148416 is a `hidden beast` number, since 2 + 5 + 73 + 94 + 0 + 1 + 484 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2573940148411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68455 + ... + 2269926.

It is an arithmetic number, because the mean of its divisors is an integer number (28212578830).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2573940148416 = 5147880296832, but 3⋅2573940148416 = 7721820445248 is not.

Almost surely, 22573940148416 is an apocalyptic number.

2573940148416 is a gapful number since it is divisible by the number (26) 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 2573940148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739713243440).

2573940148416 is an abundant number, since it is smaller than the sum of its proper divisors (6905486338464).

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

2573940148416 is a wasteful number, since it uses less digits than its factorization.

2573940148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338429 (or 2338406 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2573940148416 in words is "two trillion, five hundred seventy-three billion, nine hundred forty million, one hundred forty-eight thousand, four hundred sixteen".