Search a number
-
+
21214036536678 = 234467280408657
BaseRepresentation
bin1001101001011010001110…
…00111001010110101100110
32210010001010200101120010000
410310231013013022311212
510240032321323133203
6113041332134242130
74316443413225246
oct464550707126546
983101120346100
1021214036536678
116839905637967
122467509ab6346
13bab62393093b
14534a9ca4db26
1526bc5bec04a3
hex134b471cad66

21214036536678 has 40 divisors (see below), whose sum is σ = 47636944455672. Its totient is φ = 7056203419584.

The previous prime is 21214036536677. The next prime is 21214036536689. The reversal of 21214036536678 is 87663563041212.

21214036536678 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 0 + 36 + 536 + 6 + 78 = 666.

It is a super-2 number, since 2×212140365366782 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214036536677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140128675 + ... + 140279982.

Almost surely, 221214036536678 is an apocalyptic number.

21214036536678 is an abundant number, since it is smaller than the sum of its proper divisors (26422907918994).

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

21214036536678 is a wasteful number, since it uses less digits than its factorization.

21214036536678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280409138 (or 280409129 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 21214036536678 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-six thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 467 934 1401 2802 4203 8406 12609 25218 37827 75654 280408657 560817314 841225971 1682451942 2523677913 5047355826 7571033739 15142067478 22713101217 45426202434 130950842819 261901685638 392852528457 785705056914 1178557585371 2357115170742 3535672756113 7071345512226 10607018268339 21214036536678