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42900264576 = 273413318289
BaseRepresentation
bin100111111101000011…
…100001011010000000
311002201210102020120000
4213331003201122000
51200324431431301
631412541320000
73046052142441
oct477503413200
9132653366500
1042900264576
1117215098814
128393266000
134078bb6850
14210d8512c8
1511b1429786
hex9fd0e1680

42900264576 has 160 divisors (see below), whose sum is σ = 137491731300. Its totient is φ = 13200039936.

The previous prime is 42900264557. The next prime is 42900264577. The reversal of 42900264576 is 67546200924.

It can be written as a sum of positive squares in 2 ways, for example, as 31499150400 + 11401114176 = 177480^2 + 106776^2 .

It is not an unprimeable number, because it can be changed into a prime (42900264577) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24361 + ... + 293928.

Almost surely, 242900264576 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 42900264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745865650).

42900264576 is an abundant number, since it is smaller than the sum of its proper divisors (94591466724).

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

42900264576 is a wasteful number, since it uses less digits than its factorization.

42900264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318328 (or 318307 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 42900264576 in words is "forty-two billion, nine hundred million, two hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 134784 318289 636578 954867 1273156 1909734 2546312 2864601 3819468 4137757 5092624 5729202 7638936 8275514 8593803 10185248 11458404 12413271 15277872 16551028 17187606 20370496 22916808 24826542 25781409 30555744 33102056 34375212 37239813 40740992 45833616 49653084 51562818 61111488 66204112 68750424 74479626 91667232 99306168 103125636 111719439 122222976 132408224 137500848 148959252 183334464 198612336 206251272 223438878 264816448 275001696 297918504 335158317 366668928 397224672 412502544 446877756 529632896 550003392 595837008 670316634 794449344 825005088 893755512 1100006784 1191674016 1340633268 1588898688 1650010176 1787511024 2383348032 2681266536 3300020352 3575022048 4766696064 5362533072 7150044096 10725066144 14300088192 21450132288 42900264576