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1863634542 = 2372111733331
BaseRepresentation
bin110111100010100…
…1100111001101110
311210212202102222120
41233011030321232
512304042301132
6504532053410
764116426600
oct15705147156
94725672876
101863634542
11876a78240
12440164266
13239140443
1413971d170
15ad92802c
hex6f14ce6e

1863634542 has 96 divisors (see below), whose sum is σ = 4758735744. Its totient is φ = 481118400.

The previous prime is 1863634489. The next prime is 1863634543. The reversal of 1863634542 is 2454363681.

It is a super-2 number, since 2×18636345422 = 6946267412271099528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1863634494 and 1863634503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1863634543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557817 + ... + 561147.

It is an arithmetic number, because the mean of its divisors is an integer number (49570164).

Almost surely, 21863634542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1863634542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379367872).

1863634542 is an abundant number, since it is smaller than the sum of its proper divisors (2895101202).

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

1863634542 is a wasteful number, since it uses less digits than its factorization.

1863634542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 1863634542 is about 43169.8337036408. The cubic root of 1863634542 is about 1230.6094633132.

The spelling of 1863634542 in words is "one billion, eight hundred sixty-three million, six hundred thirty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 173 231 294 346 462 519 539 1038 1078 1211 1617 1903 2422 3234 3331 3633 3806 5709 6662 7266 8477 9993 11418 13321 16954 19986 23317 25431 26642 36641 39963 46634 50862 69951 73282 79926 93247 109923 139902 163219 186494 219846 256487 279741 326438 489657 512974 559482 576263 769461 979314 1152526 1538922 1728789 1795409 3457578 3590818 4033841 5386227 6338893 8067682 10772454 12101523 12677786 19016679 24203046 28236887 38033358 44372251 56473774 84710661 88744502 133116753 169421322 266233506 310605757 621211514 931817271 1863634542