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48001800704 = 2911133121149
BaseRepresentation
bin101100101101001000…
…010101101000000000
311120220022212010111112
4230231020111220000
51241301430110304
634015101102452
73316346400554
oct545510255000
9146808763445
1048001800704
11193a2846380
129377857a28
1346acaa6190
1424751c3864
1513ae23ab6e
hexb2d215a00

48001800704 has 160 divisors (see below), whose sum is σ = 116317555200. Its totient is φ = 19489996800.

The previous prime is 48001800689. The next prime is 48001800809. The reversal of 48001800704 is 40700810084.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2259122 + ... + 2280270.

It is an arithmetic number, because the mean of its divisors is an integer number (726984720).

Almost surely, 248001800704 is an apocalyptic number.

48001800704 is a gapful number since it is divisible by the number (44) 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 48001800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58158777600).

48001800704 is an abundant number, since it is smaller than the sum of its proper divisors (68315754496).

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

48001800704 is a wasteful number, since it uses less digits than its factorization.

48001800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222 (or 21206 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 48001800704 in words is "forty-eight billion, one million, eight hundred thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 128 143 176 208 248 256 286 341 352 403 416 496 512 572 682 704 806 832 992 1144 1364 1408 1612 1664 1984 2288 2728 2816 3224 3328 3968 4433 4576 5456 5632 6448 6656 7936 8866 9152 10912 12896 15872 17732 18304 21149 21824 25792 35464 36608 42298 43648 51584 70928 73216 84596 87296 103168 141856 169192 174592 206336 232639 274937 283712 338384 465278 549874 567424 655619 676768 930556 1099748 1134848 1311238 1353536 1861112 2199496 2269696 2622476 2707072 3024307 3722224 4398992 5244952 5414144 6048614 7211809 7444448 8523047 8797984 10489904 10828288 12097228 14423618 14888896 17046094 17595968 20979808 24194456 28847236 29777792 34092188 35191936 41959616 48388912 57694472 59555584 68184376 70383872 83919232 93753517 96777824 115388944 119111168 136368752 140767744 167838464 187507034 193555648 230777888 272737504 335676928 375014068 387111296 461555776 545475008 750028136 774222592 923111552 1090950016 1500056272 1548445184 1846223104 2181900032 3000112544 3692446208 4363800064 6000225088 12000450176 24000900352 48001800704