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5346545024 = 27533312381
BaseRepresentation
bin1001111101010110…
…11100110110000000
3111210121110121222002
410332223130312000
541422203420044
62242311003132
7246330611552
oct47653346600
914717417862
105346545024
1122a3a92457
1210526694a8
136728a5312
1438a10d4d2
152145ab74e
hex13eadcd80

5346545024 has 64 divisors (see below), whose sum is σ = 10889646480. Its totient is φ = 2613811200.

The previous prime is 5346545011. The next prime is 5346545027. The reversal of 5346545024 is 4205456435.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346545027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2244314 + ... + 2246694.

Almost surely, 25346545024 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 5346545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444823240).

5346545024 is an abundant number, since it is smaller than the sum of its proper divisors (5543101456).

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

5346545024 is a wasteful number, since it uses less digits than its factorization.

5346545024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The square root of 5346545024 is about 73120.0726476663. The cubic root of 5346545024 is about 1748.6024241997.

It can be divided in two parts, 53465 and 45024, that added together give a palindrome (98489).

The spelling of 5346545024 in words is "five billion, three hundred forty-six million, five hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 331 424 662 848 1324 1696 2381 2648 3392 4762 5296 6784 9524 10592 17543 19048 21184 35086 38096 42368 70172 76192 126193 140344 152384 252386 280688 304768 504772 561376 788111 1009544 1122752 1576222 2019088 2245504 3152444 4038176 6304888 8076352 12609776 16152704 25219552 41769883 50439104 83539766 100878208 167079532 334159064 668318128 1336636256 2673272512 5346545024