Search a number
-
+
21004699046144 = 281112758732717
BaseRepresentation
bin1001100011010100010011…
…01000000001000100000000
32202101000210120222012121212
410301222021220001010000
510223120110423434034
6112401231525305252
74265353011013622
oct461521150010400
982330716865555
1021004699046144
116769052024940
122432a27265228
13b94971c68148
145288c07c4c12
152665a8e072ce
hex131a89a01100

21004699046144 has 72 divisors (see below), whose sum is σ = 46099075427328. Its totient is φ = 9472412436480.

The previous prime is 21004699046137. The next prime is 21004699046251. The reversal of 21004699046144 is 44164099640012.

21004699046144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 21004699046092 and 21004699046101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29008727 + ... + 29723990.

Almost surely, 221004699046144 is an apocalyptic number.

It is an amenable number.

21004699046144 is an abundant number, since it is smaller than the sum of its proper divisors (25094376381184).

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

21004699046144 is a wasteful number, since it uses less digits than its factorization.

21004699046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58732871 (or 58732857 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 21004699046144 in words is "twenty-one trillion, four billion, six hundred ninety-nine million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 256 352 508 704 1016 1397 1408 2032 2794 2816 4064 5588 8128 11176 16256 22352 32512 44704 89408 178816 357632 58732717 117465434 234930868 469861736 646059887 939723472 1292119774 1879446944 2584239548 3758893888 5168479096 7459055059 7517787776 10336958192 14918110118 15035575552 20673916384 29836220236 41347832768 59672440472 82049605649 82695665536 119344880944 164099211298 165391331072 238689761888 328198422596 477379523776 656396845192 954759047552 1312793690384 1909518095104 2625587380768 5251174761536 10502349523072 21004699046144