Search a number
-
+
20245146642 = 2347215972
BaseRepresentation
bin10010110110101101…
…000110110000010010
31221020220211000020000
4102312231012300102
5312430224143032
613144523430430
71314456623100
oct226655066022
957226730200
1020245146642
118649948356
123b10085416
131ba840b216
14da0a9ac70
157d7541e7c
hex4b6b46c12

20245146642 has 90 divisors (see below), whose sum is σ = 52803576837. Its totient is φ = 5780705616.

The previous prime is 20245146631. The next prime is 20245146671. The reversal of 20245146642 is 24664154202.

20245146642 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 5 + 1 + 4 + 6 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18227430081 + 2017716561 = 135009^2 + 44919^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100611.

It is a junction number, because it is equal to n+sod(n) for n = 20245146597 and 20245146606.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12676188 + ... + 12677784.

Almost surely, 220245146642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20245146642

20245146642 is an abundant number, since it is smaller than the sum of its proper divisors (32558430195).

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

20245146642 is an frugal number, since it uses more digits than its factorization.

20245146642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20245146642 in words is "twenty billion, two hundred forty-five million, one hundred forty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 1597 2646 3194 3969 4791 7938 9582 11179 14373 22358 28746 33537 43119 67074 78253 86238 100611 129357 156506 201222 234759 258714 301833 469518 603666 704277 905499 1408554 1810998 2112831 2550409 4225662 5100818 6338493 7651227 12676986 15302454 17852863 22953681 35705726 45907362 53558589 68861043 107117178 124970041 137722086 160675767 206583129 249940082 321351534 374910123 413166258 482027301 749820246 964054602 1124730369 1446081903 2249460738 2892163806 3374191107 6748382214 10122573321 20245146642