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10554022024 = 23713139104297
BaseRepresentation
bin10011101010001000…
…11001100010001000
31000020112020212110121
421311010121202020
5133103312201044
64503133153024
7522352464340
oct116504314210
930215225417
1010554022024
114526519a57
12206662b774
13cc2708560
1472197bd20
1541b847984
hex275119888

10554022024 has 64 divisors (see below), whose sum is σ = 24530889600. Its totient is φ = 4145140224.

The previous prime is 10554022021. The next prime is 10554022051. The reversal of 10554022024 is 42022045501.

It is a super-2 number, since 2×105540220242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10554022024.

It is not an unprimeable number, because it can be changed into a prime (10554022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49044 + ... + 153340.

It is an arithmetic number, because the mean of its divisors is an integer number (383295150).

Almost surely, 210554022024 is an apocalyptic number.

10554022024 is a gapful number since it is divisible by the number (14) 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 10554022024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265444800).

10554022024 is an abundant number, since it is smaller than the sum of its proper divisors (13976867576).

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

10554022024 is a wasteful number, since it uses less digits than its factorization.

10554022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104462 (or 104458 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 10554022024 its reverse (42022045501), we get a palindrome (52576067525).

The spelling of 10554022024 in words is "ten billion, five hundred fifty-four million, twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 139 182 278 364 556 728 973 1112 1807 1946 3614 3892 7228 7784 12649 14456 25298 50596 101192 104297 208594 417188 730079 834376 1355861 1460158 2711722 2920316 5423444 5840632 9491027 10846888 14497283 18982054 28994566 37964108 57989132 75928216 101480981 115978264 188464679 202961962 376929358 405923924 753858716 811847848 1319252753 1507717432 2638505506 5277011012 10554022024