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2124641849472 = 27321844307161
BaseRepresentation
bin11110111010101110100…
…001011101000010000000
321112010001221110211212100
4132322232201131002000
5234302231303140342
64304014052230400
7306333414513222
oct36725641350200
97463057424770
102124641849472
1174a067a3113a
122a392a30b400
1312547832c31c
1474b944a8412
153a400740e4c
hex1eeae85d080

2124641849472 has 48 divisors (see below), whose sum is σ = 6113878242030. Its totient is φ = 708213949440.

The previous prime is 2124641849471. The next prime is 2124641849489. The reversal of 2124641849472 is 2749481464212.

2124641849472 is a `hidden beast` number, since 2 + 1 + 2 + 46 + 41 + 8 + 494 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1866764759616 + 257877089856 = 1366296^2 + 507816^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2124641849471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 922152429 + ... + 922154732.

Almost surely, 22124641849472 is an apocalyptic number.

It is an amenable number.

2124641849472 is an abundant number, since it is smaller than the sum of its proper divisors (3989236392558).

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

2124641849472 is a wasteful number, since it uses less digits than its factorization.

2124641849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844307181 (or 1844307166 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 2124641849472 in words is "two trillion, one hundred twenty-four billion, six hundred forty-one million, eight hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1844307161 3688614322 5532921483 7377228644 11065842966 14754457288 16598764449 22131685932 29508914576 33197528898 44263371864 59017829152 66395057796 88526743728 118035658304 132790115592 177053487456 236071316608 265580231184 354106974912 531160462368 708213949824 1062320924736 2124641849472