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42049418752 = 2911103173419
BaseRepresentation
bin100111001010010101…
…110011011000000000
311000112111101210111201
4213022111303120000
51142104122400002
631152304550544
73016011106405
oct471225633000
9130474353451
1042049418752
1116918889750
128196322454
133c71840593
14206c84c2ac
1511618ac087
hex9ca573600

42049418752 has 160 divisors (see below), whose sum is σ = 93301528320. Its totient is φ = 18773483520.

The previous prime is 42049418711. The next prime is 42049418759. The reversal of 42049418752 is 25781494024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42049418759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100356399 + ... + 100356817.

It is an arithmetic number, because the mean of its divisors is an integer number (583134552).

Almost surely, 242049418752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42049418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46650764160).

42049418752 is an abundant number, since it is smaller than the sum of its proper divisors (51252109568).

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

42049418752 is a wasteful number, since it uses less digits than its factorization.

42049418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 42049418752 in words is "forty-two billion, forty-nine million, four hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 173 176 206 256 346 352 412 419 512 692 704 824 838 1133 1384 1408 1648 1676 1903 2266 2768 2816 3296 3352 3806 4532 4609 5536 5632 6592 6704 7612 9064 9218 11072 13184 13408 15224 17819 18128 18436 22144 26368 26816 30448 35638 36256 36872 43157 44288 52736 53632 60896 71276 72487 72512 73744 86314 88576 107264 121792 142552 144974 145024 147488 172628 196009 214528 243584 285104 289948 290048 294976 345256 392018 474727 487168 570208 579896 580096 589952 690512 784036 797357 949454 974336 1140416 1159792 1179904 1381024 1568072 1594714 1898908 2280832 2319584 2359808 2762048 3136144 3189428 3797816 4561664 4639168 5524096 6272288 6378856 7466161 7595632 9123328 9278336 11048192 12544576 12757712 14932322 15191264 18556672 22096384 25089152 25515424 29864644 30382528 37113344 50178304 51030848 59729288 60765056 82127771 100356608 102061696 119458576 121530112 164255542 204123392 238917152 243060224 328511084 408246784 477834304 657022168 955668608 1314044336 1911337216 2628088672 3822674432 5256177344 10512354688 21024709376 42049418752