Search a number
-
+
53420793648 = 24331112931799
BaseRepresentation
bin110001110000001000…
…001001111100110000
312002212222122111022220
4301300020021330300
51333401210344043
640312521001040
73600550153035
oct616010117460
9162788574286
1053420793648
1120723710a42
12a42a623180
135064696291
14282ab9138c
1515c9d58483
hexc70209f30

53420793648 has 80 divisors (see below), whose sum is σ = 142586112000. Its totient is φ = 17216709120.

The previous prime is 53420793641. The next prime is 53420793683. The reversal of 53420793648 is 84639702435.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53420793648.

It is not an unprimeable number, because it can be changed into a prime (53420793641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1664053 + ... + 1695851.

It is an arithmetic number, because the mean of its divisors is an integer number (1782326400).

Almost surely, 253420793648 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 53420793648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71293056000).

53420793648 is an abundant number, since it is smaller than the sum of its proper divisors (89165318352).

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

53420793648 is a wasteful number, since it uses less digits than its factorization.

53420793648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32970 (or 32964 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 53420793648 in words is "fifty-three billion, four hundred twenty million, seven hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1129 1488 2258 3387 4516 6774 9032 13548 18064 27096 31799 34999 54192 63598 69998 95397 104997 127196 139996 190794 209994 254392 279992 381588 419988 508784 559984 763176 839976 985769 1526352 1679952 1971538 2957307 3943076 5914614 7886152 11829228 15772304 23658456 35901071 47316912 71802142 107703213 143604284 215406426 287208568 430812852 574417136 861625704 1112933201 1723251408 2225866402 3338799603 4451732804 6677599206 8903465608 13355198412 17806931216 26710396824 53420793648