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48818018704 = 24721326072
BaseRepresentation
bin101101011101110001…
…111101100110010000
311200000012201022002211
4231131301331212100
51244434403044304
634232055321504
73345520212100
oct553561754620
9150005638084
1048818018704
1119781554004
129565080294
1347acc16c00
142511771200
15140ac18204
hexb5dc7d990

48818018704 has 135 divisors (see below), whose sum is σ = 119338640577. Its totient is φ = 19280806272.

The previous prime is 48818018699. The next prime is 48818018747. The reversal of 48818018704 is 40781081884.

The square root of 48818018704 is 220948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7221600400 + 41596418304 = 84980^2 + 203952^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80424769 + ... + 80425375.

Almost surely, 248818018704 is an apocalyptic number.

48818018704 is the 220948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48818018704

48818018704 is an abundant number, since it is smaller than the sum of its proper divisors (70520621873).

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

48818018704 is an equidigital number, since it uses as much as digits as its factorization.

48818018704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 49.

Multiplying 48818018704 by its sum of digits (49), we get a square (2392082916496 = 15466362).

48818018704 divided by its sum of digits (49) gives a square (996286096 = 315642).

The spelling of 48818018704 in words is "forty-eight billion, eight hundred eighteen million, eighteen thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 607 637 676 728 784 1183 1214 1274 1352 1456 2366 2428 2548 2704 4249 4732 4856 5096 7891 8281 8498 9464 9712 10192 15782 16562 16996 18928 29743 31564 33124 33992 55237 59486 63128 66248 67984 102583 110474 118972 126256 132496 205166 220948 237944 368449 386659 410332 441896 475888 718081 736898 773318 820664 883792 1436162 1473796 1546636 1641328 2579143 2872324 2947592 3093272 4789837 5026567 5158286 5744648 5895184 6186544 9579674 10053134 10316572 11489296 18054001 19159348 20106268 20633144 33528859 36108002 38318696 40212536 41266288 62267881 67057718 72216004 76637392 80425072 124535762 134115436 144432008 234702013 249071524 268230872 288864016 435875167 469404026 498143048 536461744 871750334 938808052 996286096 1743500668 1877616104 3051126169 3487001336 3755232208 6102252338 6974002672 12204504676 24409009352 48818018704