Search a number
-
+
1820831209520 = 24553461931543
BaseRepresentation
bin11010011111110001111…
…111110101100000110000
320110001212212011020211012
4122133301333311200300
5214313030242201040
63512251152010052
7245356615625231
oct32376177654060
96401785136735
101820831209520
11642234826724
12254a80830928
1310291bbac39b
14641b3225088
153256d763865
hex1a7f1ff5830

1820831209520 has 80 divisors (see below), whose sum is σ = 4322669706432. Its totient is φ = 713039508480.

The previous prime is 1820831209501. The next prime is 1820831209529. The reversal of 1820831209520 is 259021380281.

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

It is a super-2 number, since 2×18208312095202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1820831209529) 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, 1488869 + ... + 2420411.

Almost surely, 21820831209520 is an apocalyptic number.

1820831209520 is a gapful number since it is divisible by the number (10) 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 1820831209520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161334853216).

1820831209520 is an abundant number, since it is smaller than the sum of its proper divisors (2501838496912).

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

1820831209520 is a wasteful number, since it uses less digits than its factorization.

1820831209520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932070 (or 932064 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 1820831209520 in words is "one trillion, eight hundred twenty billion, eight hundred thirty-one million, two hundred nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 461 530 848 922 1060 1844 2120 2305 3688 4240 4610 7376 9220 18440 24433 36880 48866 97732 122165 195464 244330 390928 488660 931543 977320 1863086 1954640 3726172 4657715 7452344 9315430 14904688 18630860 37261720 49371779 74523440 98743558 197487116 246858895 394974232 429441323 493717790 789948464 858882646 987435580 1717765292 1974871160 2147206615 3435530584 3949742320 4294413230 6871061168 8588826460 17177652920 22760390119 34355305840 45520780238 91041560476 113801950595 182083120952 227603901190 364166241904 455207802380 910415604760 1820831209520