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114784636692 = 2231119223920441
BaseRepresentation
bin110101011100110110…
…0101000111100010100
3101222021112112201000110
41222321230220330110
53340034331333232
6124421545043020
711202320212365
oct1527154507424
9358245481013
10114784636692
1144752a31510
121a2b5186470
13aa9385268b
1457ac823b6c
152ebc1acacc
hex1ab9b28f14

114784636692 has 96 divisors (see below), whose sum is σ = 307709337600. Its totient is φ = 32936198400.

The previous prime is 114784636669. The next prime is 114784636693. The reversal of 114784636692 is 296636487411.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114784636693) 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 31 ways as a sum of consecutive naturals, for example, 5605192 + ... + 5625632.

It is an arithmetic number, because the mean of its divisors is an integer number (3205305600).

Almost surely, 2114784636692 is an apocalyptic number.

114784636692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114784636692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153854668800).

114784636692 is an abundant number, since it is smaller than the sum of its proper divisors (192924700908).

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

114784636692 is a wasteful number, since it uses less digits than its factorization.

114784636692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22717 (or 22715 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 114784636692 in words is "one hundred fourteen billion, seven hundred eighty-four million, six hundred thirty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2239 2508 4478 6717 8956 13434 20441 24629 26868 40882 42541 49258 61323 73887 81764 85082 98516 122646 127623 147774 170164 224851 245292 255246 295548 388379 449702 467951 510492 674553 776758 899404 935902 1165137 1349106 1403853 1553516 1871804 2330274 2698212 2807706 4272169 4660548 5615412 8544338 12816507 17088676 25633014 45767399 51266028 91534798 137302197 183069596 274604394 503441389 549208788 869580581 1006882778 1510324167 1739161162 2013765556 2608741743 3020648334 3478322324 5217483486 6041296668 9565386391 10434966972 19130772782 28696159173 38261545564 57392318346 114784636692