Search a number
-
+
9827400000120 = 233583986686747
BaseRepresentation
bin1000111100000001111010…
…1011111010001001111000
31021210111020101212210101020
42033000132223322021320
52242003003400000440
632522351212022440
72033002063505463
oct217003653721170
937714211783336
109827400000120
11314986011151a
121128748461a20
1356394865b591
1425d9120542da
151209772173d0
hex8f01eafa278

9827400000120 has 64 divisors (see below), whose sum is σ = 29837407259520. Its totient is φ = 2589066021504.

The previous prime is 9827400000113. The next prime is 9827400000179. The reversal of 9827400000120 is 210000047289.

It is a happy number.

9827400000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 493333414 + ... + 493353333.

It is an arithmetic number, because the mean of its divisors is an integer number (466209488430).

Almost surely, 29827400000120 is an apocalyptic number.

It is an amenable number.

9827400000120 is an abundant number, since it is smaller than the sum of its proper divisors (20010007259400).

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

9827400000120 is a wasteful number, since it uses less digits than its factorization.

9827400000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986686844 (or 986686840 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 9827400000120 in words is "nine trillion, eight hundred twenty-seven billion, four hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 986686747 1973373494 2960060241 3946746988 4933433735 5920120482 7893493976 9866867470 11840240964 14800301205 19733734940 23680481928 29600602410 39467469880 59201204820 81895000001 118402409640 163790000002 245685000003 327580000004 409475000005 491370000006 655160000008 818950000010 982740000012 1228425000015 1637900000020 1965480000024 2456850000030 3275800000040 4913700000060 9827400000120