Search a number
-
+
1053333005520 = 243526916315567
BaseRepresentation
bin11110101001111111000…
…10100010010011010000
310201200211120212211010210
433110333202202103100
5114224211222134040
62123521113524120
7136046400551025
oct17247742422320
93650746784123
101053333005520
11376797026364
12150187113640
1378437705883
1438da56a554c
151c5eda2d480
hexf53f8a24d0

1053333005520 has 80 divisors (see below), whose sum is σ = 3277471299840. Its totient is φ = 279844588032.

The previous prime is 1053333005507. The next prime is 1053333005537. The reversal of 1053333005520 is 255003333501.

1053333005520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10533330055202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8093224 + ... + 8222343.

It is an arithmetic number, because the mean of its divisors is an integer number (40968391248).

Almost surely, 21053333005520 is an apocalyptic number.

1053333005520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053333005520 is an abundant number, since it is smaller than the sum of its proper divisors (2224138294320).

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

1053333005520 is a wasteful number, since it uses less digits than its factorization.

1053333005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16315852 (or 16315846 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 30.

The spelling of 1053333005520 in words is "one trillion, fifty-three billion, three hundred thirty-three million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 10760 12912 16140 21520 32280 64560 16315567 32631134 48946701 65262268 81577835 97893402 130524536 163155670 195786804 244733505 261049072 326311340 391573608 489467010 652622680 783147216 978934020 1305245360 1957868040 3915736080 4388887523 8777775046 13166662569 17555550092 21944437615 26333325138 35111100184 43888875230 52666650276 65833312845 70222200368 87777750460 105333300552 131666625690 175555500920 210666601104 263333251380 351111001840 526666502760 1053333005520