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2853890735472 = 2432717266114821
BaseRepresentation
bin101001100001111001001…
…001001011110101110000
3101002211101112220121021100
4221201321021023311300
5333224232012013342
610023020450524400
7413121033666660
oct51417111136560
911084345817240
102853890735472
11a00367a12797
123a112a296700
131791753667aa
149c1b41761a0
154e382504e4c
hex2987924bd70

2853890735472 has 360 divisors, whose sum is σ = 9711765937952. Its totient is φ = 766220083200.

The previous prime is 2853890735461. The next prime is 2853890735473. The reversal of 2853890735472 is 2745370983582.

2853890735472 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 8 + 90 + 73 + 5 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853890735473) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192549822 + ... + 192564642.

Almost surely, 22853890735472 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 2853890735472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855882968976).

2853890735472 is an abundant number, since it is smaller than the sum of its proper divisors (6857875202480).

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

2853890735472 is a wasteful number, since it uses less digits than its factorization.

2853890735472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15537 (or 15511 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 2853890735472 in words is "two trillion, eight hundred fifty-three billion, eight hundred ninety million, seven hundred thirty-five thousand, four hundred seventy-two".