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5055144880 = 245738310429
BaseRepresentation
bin1001011010100111…
…10110001110110000
3111001022010222010011
410231103312032300
540323104114010
62153341144304
7236162010502
oct45523661660
914038128104
105055144880
112164552195
12b90b5b094
136273c89b6
1435d537d72
151e8beaa8a
hex12d4f63b0

5055144880 has 80 divisors (see below), whose sum is σ = 12058915680. Its totient is φ = 1970141184.

The previous prime is 5055144877. The next prime is 5055144881. The reversal of 5055144880 is 884415505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5055144881) 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 15 ways as a sum of consecutive naturals, for example, 479506 + ... + 489934.

It is an arithmetic number, because the mean of its divisors is an integer number (150736446).

Almost surely, 25055144880 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 5055144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029457840).

5055144880 is an abundant number, since it is smaller than the sum of its proper divisors (7003770800).

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

5055144880 is a wasteful number, since it uses less digits than its factorization.

5055144880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 40.

The square root of 5055144880 is about 71099.5420519711. The cubic root of 5055144880 is about 1716.2394041876.

The spelling of 5055144880 in words is "five billion, fifty-five million, one hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 83 146 166 292 332 365 415 584 664 730 830 1168 1328 1460 1660 2920 3320 5840 6059 6640 10429 12118 20858 24236 30295 41716 48472 52145 60590 83432 96944 104290 121180 166864 208580 242360 417160 484720 761317 834320 865607 1522634 1731214 3045268 3462428 3806585 4328035 6090536 6924856 7613170 8656070 12181072 13849712 15226340 17312140 30452680 34624280 60905360 63189311 69248560 126378622 252757244 315946555 505514488 631893110 1011028976 1263786220 2527572440 5055144880