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42893703540 = 22325734876703
BaseRepresentation
bin100111111100101010…
…011111100101110100
311002201100001220111200
4213330222133211310
51200321242003130
631412144532500
73045642315162
oct477452374564
9132640056450
1042893703540
1117211417376
128391021130
13407772a38c
14210ca24232
1511b0a80760
hex9fca9f974

42893703540 has 144 divisors (see below), whose sum is σ = 132183787008. Its totient is φ = 11256786432.

The previous prime is 42893703497. The next prime is 42893703563. The reversal of 42893703540 is 4530739824.

42893703540 is a `hidden beast` number, since 428 + 93 + 70 + 35 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6395829 + ... + 6402531.

Almost surely, 242893703540 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 42893703540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66091893504).

42893703540 is an abundant number, since it is smaller than the sum of its proper divisors (89290083468).

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

42893703540 is a wasteful number, since it uses less digits than its factorization.

42893703540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7273 counting only the distinct ones).

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

The spelling of 42893703540 in words is "forty-two billion, eight hundred ninety-three million, seven hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 487 657 730 876 974 1095 1314 1460 1461 1948 2190 2435 2628 2922 3285 4380 4383 4870 5844 6570 6703 7305 8766 9740 13140 13406 14610 17532 20109 21915 26812 29220 33515 35551 40218 43830 60327 67030 71102 80436 87660 100545 106653 120654 134060 142204 177755 201090 213306 241308 301635 319959 355510 402180 426612 489319 533265 603270 639918 711020 978638 1066530 1206540 1279836 1467957 1599795 1957276 2133060 2446595 2935914 3199590 3264361 4403871 4893190 5871828 6399180 6528722 7339785 8807742 9786380 9793083 13057444 14679570 16321805 17615484 19586166 22019355 29359140 29379249 32643610 39172332 44038710 48965415 58758498 65287220 88077420 97930830 117516996 146896245 195861660 238298353 293792490 476596706 587584980 714895059 953193412 1191491765 1429790118 2144685177 2382983530 2859580236 3574475295 4289370354 4765967060 7148950590 8578740708 10723425885 14297901180 21446851770 42893703540